CASE - User contributions [en]

PHY554 Fall 2026

2026-10-14T14:20:04Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21
* [[media:PHY554_Lecture7_Orbit_Correction_and_Dispersion.pdf|PHY554 Lecture 7, Orbit Correction and Dispersion]], by Prof. Jing
* [[media:PHY554_Lecture8_Quadrupole_Errors.pdf|PHY554 Lecture 8, Quadrupole error and beta beat]], by Prof. Jing, Lab III handed out, due 9/30
* [[media:PHY554_Lecture9_Introduction_to_RF.pdf|PHY554 Lecture 9, Introduction to RF]], by Dr. J. Ma
* [[media:PHY554_Lecture10_RF_Accelerators_Fundamentals.pdf|PHY554 Lecture 10, RF accelerators fundamentals]], by Dr. J. Ma
* [[media:PPHY554_Lecture11_SR.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. Dmitry Kayran
* [[media:PHY554_2026_SynchrotronRadiationSources.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Dr. J. Ma
* [[media:PHY554_Lecture13_synchrotron_motion.pdf|PHY554 Lecture 13, Synchrotron Motion]], by Prof. Jing
* [[media:PHY554_Lecture14_15_storage_rings.pdf|PHY554 Lecture 14-15, Electron Storage Rings]], by Prof. Jing, Lab V handed out, due 10/21

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]
* [[media:PHY554_RF_Homework.zip|RF Homework Due 10/14]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-10-14T14:19:37Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21
* [[media:PHY554_Lecture7_Orbit_Correction_and_Dispersion.pdf|PHY554 Lecture 7, Orbit Correction and Dispersion]], by Prof. Jing
* [[media:PHY554_Lecture8_Quadrupole_Errors.pdf|PHY554 Lecture 8, Quadrupole error and beta beat]], by Prof. Jing, Lab III handed out, due 9/30
* [[media:PHY554_Lecture9_Introduction_to_RF.pdf|PHY554 Lecture 9, Introduction to RF]], by Dr. J. Ma
* [[media:PHY554_Lecture10_RF_Accelerators_Fundamentals.pdf|PHY554 Lecture 10, RF accelerators fundamentals]], by Dr. J. Ma
* [[media:PPHY554_Lecture11_SR.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. Dmitry Kayran
* [[media:PHY554_2026_SynchrotronRadiationSources.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Dr. J. Ma
* [[media:PHY554_Lecture13_synchrotron_motion.pdf|PHY554 Lecture 13, Synchrotron Motion]], by Prof. Jing
* [[media:PHY554_Lecture14_15_storage_rings.pdf|PHY554 Lecture 14-15, Electron Storage Rings]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]
* [[media:PHY554_RF_Homework.zip|RF Homework Due 10/14]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 Lecture14 15 storage rings.pdf

2026-10-14T14:18:30Z

YichaoJing:

PHY554 Fall 2026

2026-10-07T19:02:45Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21
* [[media:PHY554_Lecture7_Orbit_Correction_and_Dispersion.pdf|PHY554 Lecture 7, Orbit Correction and Dispersion]], by Prof. Jing
* [[media:PHY554_Lecture8_Quadrupole_Errors.pdf|PHY554 Lecture 8, Quadrupole error and beta beat]], by Prof. Jing, Lab III handed out, due 9/30
* [[media:PHY554_Lecture9_Introduction_to_RF.pdf|PHY554 Lecture 9, Introduction to RF]], by Dr. J. Ma
* [[media:PHY554_Lecture10_RF_Accelerators_Fundamentals.pdf|PHY554 Lecture 10, RF accelerators fundamentals]], by Dr. J. Ma
* [[media:PPHY554_Lecture11_SR.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. Dmitry Kayran
* [[media:PHY554_2026_SynchrotronRadiationSources.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Dr. J. Ma
* [[media:PHY554_Lecture13_synchrotron_motion.pdf|PHY554 Lecture 13, Synchrotron Motion]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]
* [[media:PHY554_RF_Homework.zip|RF Homework Due 10/14]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 Lecture13 synchrotron motion.pdf

2026-10-07T18:43:06Z

YichaoJing: YichaoJing uploaded a new version of File:PHY554 Lecture13 synchrotron motion.pdf

File:PHY554 Lecture13 synchrotron motion.pdf

2026-10-07T18:41:11Z

YichaoJing:

PHY554 Fall 2025

2026-10-07T17:13:58Z

YichaoJing: /* Exam */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2025.pdf|PHY554 Lecture 8, Quadrupole field error and its application]], by Prof. Y. Jing
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 9, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 10, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture11_F2025.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture12_F2025.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2025.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2025.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma
* [[media:PHY554_Lecture_23_2025.pdf|PHY554 Lecture 23, Scientific and Societal Applications of Accelerators part 1]], by Prof. D. Kayran
* [[media:PHY554_Lecture_24_2025.pdf|PHY554 Lecture 24, Scientific and Societal Applications of Accelerators part 2]], by Prof. D. Kayran

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]
* [[media:Derivation_of_radiation_power.pdf|Derivations for Synchrotron Radiation]], by Prof. G. Wang
* [[media:SC_test.txt|matlab script to test stochastic cooling, change the file name to SC_test.m]], by Prof. G. Wang

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24
* [[media:PHY554_2025_HW4.pdf|Homework 4]], September 29: due October 8
* [[media:PHY554_2025_HW5.pdf|Homework 5]], October 8: due October 15
* [[media:PHY554_2025_HW6.pdf|Homework 6]], November 12: due November 19
* [[media:PHY554_2025_HW7.pdf|Homework 7]], November 17: due November 26
* [[media:PHY554_2025_HW8.pdf|Homework 8]], December 1: due December 8

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2026

2026-09-21T16:50:10Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21
* [[media:PHY554_Lecture7_Orbit_Correction_and_Dispersion.pdf|PHY554 Lecture 7, Orbit Correction and Dispersion]], by Prof. Jing
* [[media:PHY554_Lecture8_Quadrupole_Errors.pdf|PHY554 Lecture 8, Quadrupole error and beta beat]], by Prof. Jing, Lab III handed out, due 9/30

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-09-21T16:49:44Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21
* [[media:PHY554_Lecture7_Orbit_Correction_and_Dispersion.pdf|PHY554 Lecture 7, Orbit Correction and Dispersion]], by Prof. Jing
* [[media:PHY554_Lecture8_Quadrupole_Errors.pdf|PHY554 Lecture 8, Orbit Correction and beta beat]], by Prof. Jing, Lab III handed out, due 9/30

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 Lecture8 Quadrupole Errors.pdf

2026-09-21T16:49:09Z

YichaoJing:

PHY554 Fall 2026

2026-09-21T16:48:54Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21
* [[media:PHY554_Lecture7_Orbit_Correction_and_Dispersion.pdf|PHY554 Lecture 7, Orbit Correction and Dispersion]], by Prof. Jing
* [[media:PHY554_Lecture8_Quadrupole_Errors.pdf|PHY554 Lecture 8, Orbit Correction and beta beat]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-09-15T17:58:31Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21
* [[media:PHY554_Lecture7_Orbit_Correction_and_Dispersion.pdf|PHY554 Lecture 7, Orbit Correction and Dispersion]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 Lecture7 Orbit Correction and Dispersion.pdf

2026-09-15T17:57:35Z

YichaoJing:

PHY554 Fall 2025

2026-09-15T15:03:22Z

YichaoJing: /* Homework */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2025.pdf|PHY554 Lecture 8, Quadrupole field error and its application]], by Prof. Y. Jing
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 9, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 10, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture11_F2025.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture12_F2025.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2025.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2025.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma
* [[media:PHY554_Lecture_23_2025.pdf|PHY554 Lecture 23, Scientific and Societal Applications of Accelerators part 1]], by Prof. D. Kayran
* [[media:PHY554_Lecture_24_2025.pdf|PHY554 Lecture 24, Scientific and Societal Applications of Accelerators part 2]], by Prof. D. Kayran

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]
* [[media:Derivation_of_radiation_power.pdf|Derivations for Synchrotron Radiation]], by Prof. G. Wang
* [[media:SC_test.txt|matlab script to test stochastic cooling, change the file name to SC_test.m]], by Prof. G. Wang

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24
* [[media:PHY554_2025_HW4.pdf|Homework 4]], September 29: due October 8
* [[media:PHY554_2025_HW5.pdf|Homework 5]], October 8: due October 15
* [[media:PHY554_2025_HW6.pdf|Homework 6]], November 12: due November 19
* [[media:PHY554_2025_HW7.pdf|Homework 7]], November 17: due November 26
* [[media:PHY554_2025_HW8.pdf|Homework 8]], December 1: due December 8

== '''<span style="color: red">Exam ==
* [[media:Midterm_2025.pdf|Midterm]], due November 3 midnight [[media:Midterm2025_solutions.pdf|Solutions]]

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2026

2026-09-14T18:57:16Z

YichaoJing: /* Homework */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 scripts]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-09-14T18:56:56Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing, Lab I handed out, due 9/9
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing, Lab II handed out, due 9/21

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 after lecture 3, report due 9/9/26]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-09-14T15:25:32Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing
* [[media:PHY554_Lecture6_Emittance_and_Orbit_Errors.pdf|PHY554 Lecture 6, Emittance and Orbit Error]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 after lecture 3, report due 9/9/26]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 Lecture6 Emittance and Orbit Errors.pdf

2026-09-14T15:24:28Z

YichaoJing:

File:PHY554 Lecture5 Floquet Transformation.pdf

2026-09-08T17:38:21Z

YichaoJing:

PHY554 Fall 2026

2026-09-08T17:38:05Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing
* [[media:PHY554_Lecture5_Floquet_Transformation.pdf|PHY554 Lecture 5, Floquet Transformation]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 after lecture 3, report due 9/9/26]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 Lecture4 Linear Betatron Motion.pdf

2026-09-02T20:37:52Z

YichaoJing:

PHY554 Fall 2026

2026-09-01T21:14:57Z

YichaoJing: /* Homework */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:PHY554_lattice_1.zip|Lab 1 after lecture 3, report due 9/9/26]]

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-09-01T21:14:31Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-09-01T21:07:47Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing
* [[media:PHY554_lattice_1.zip|PHY554 Lecture 3 lab, report due 9/9/26]]
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-09-01T21:05:11Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing
* [[media:PHY554_lattice_1.zip|PHY554 Lecture 3 lab]]
* [[media:PHY554_Lecture4_Linear_Betatron_Motion.pdf|PHY554 Lecture 4, Betatron Motion]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-08-30T20:27:08Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing
* [[media:PHY554_lattice_1.zip|PHY554 Lecture 3 lab]]

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 lattice 1.zip

2026-08-30T20:25:41Z

YichaoJing:

File:PHY554 Lecture3 History of Accelerators II.pdf

2026-08-30T19:47:51Z

YichaoJing:

PHY554 Fall 2026

2026-08-30T19:47:35Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_Modern_Accelerators.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Jing
* [[media:PHY554_Lecture2_History_of_Accelerators_I.pdf|PHY554 Lecture 2, History of Accelerators I]], by Prof. Jing
* [[media:PHY554_Lecture3_History_of_Accelerators_II.pdf|PHY554 Lecture 3, History of Accelerators II]], by Prof. Jing

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]]
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

File:PHY554 Lecture2 History of Accelerators I.pdf

2026-08-26T01:17:42Z

YichaoJing:

PHY554 Fall 2026

2026-08-26T01:15:41Z

YichaoJing: /* Lecture Notes */

PHY554 Fall 2026

2026-08-23T21:38:15Z

YichaoJing:

File:PHY554 Lecture1 Modern Accelerators.pdf

2026-08-23T21:26:28Z

YichaoJing:

PHY554 Fall 2026

2026-08-23T21:26:01Z

YichaoJing: /* Lecture Notes */

CASE:Courses

2026-08-17T20:01:55Z

YichaoJing: /* 2026 */

== 2026 ==
* [[PHY554_Fall_2026|'''Fall: PHY 554: Fundamentals of Accelerator Physics''']]
* [[PHY564_spring_2026|'''Spring: PHY 564: Advanced Accelerator Physics''']]
* [[PHY689_spring_2026|'''Spring: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[PHY542_spring_2026|'''Spring: PHY 542: Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]

== 2025 ==

* [[PHY542_spring_2025|'''Spring: PHY 542: Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]
* [https://sites.google.com/view/srfsbu2023/home Sping: PHY 543: RF Superconductivity for Accelerators]''', by Prof. Belomestnykh and Dr. Verdu-Andres
* [[PHY689_spring_2025|'''Spring: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[PHY554_Fall_2025|'''Fall: PHY 554: Fundamentals of Accelerator Physics''']]
* [[PHY695_fall_2025|'''Fall: PHY 695: Cryogenic systems and their design''']], by Matt Maciazka, David Montanari.
* [[PHY689_spring_2025|'''Fall: PHY 689: USPAS and CERN accelerator physics schools''']]

== 2024 ==
* [[PHY691_spring_2024|'''Spring: PHY 691: Computational Accelerator Physics, by Dr. François Méot, BNL & SBU''']]
* [[PHY554_Fall_2024|'''Fall: PHY 554: Fundamentals of Accelerator Physics''']]
* [[PHY 693/ESE 593_fall_2024|'''Fall: PHY 693/ESE 593 High Power RF engineering''']]

== 2023 ==
* [[PHY554_Fall_2023|'''Fall: PHY 554: Fundamentals of Accelerator Physics''']]
* [[PHY689_Fall_2023|'''Fall: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[USPAS_spring_2023|'''Winter: USPAS, Hadron Beam Cooling in Particle Accelerators''']]
* [[PHY543_spring_2023|'''Spring: PHY543: RF Superconductivity for Accelerators''']], see also external link '''[https://sites.google.com/view/srfsbu2023/home Sping: PHY 543: RF Superconductivity for Accelerators]''', by Prof. Belomestnykh, Prof. Petrushina, and Dr. Verdu-Andres
* [[PHY689_spring_2020|'''Spring: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[PHY542_spring_2023|'''Spring: PHY 542: Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]
* [[PHY691_spring_2023|'''Spring: PHY 691: Computational Accelerator Physics, by Dr. François Méot, BNL & SBU''']]

== 2022 ==
* [[PHY564_fall_2022|'''Fall: PHY 564: Advanced Accelerator Physics''']]
* [[PHY 693/ESE 593_fall_2022|'''Fall: PHY 693/ESE 593 High Power RF engineering''']]
* [[PHY689_spring_2020|'''Fall: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[PHY 694_spring_2022|'''Spring: PHY 694 Plasma and Wakefield Accelerators''']]
* [[PHY689_spring_2020|'''Spring: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[PHY542_spring_2022|'''Spring: PHY 542: Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]

== 2021 ==
* [[PHY554_Fall_2021|'''Fall: PHY 554: Fundamentals of Accelerator Physics''']]
* [[PHY695_fall_2021|'''Fall: PHY 695: Cryogenic systems and their design''']], by Arkadiy Klebaner, Ram Dhuley, David Montanari, Matthew Hollister.
* [[PHY689_spring_2020|'''Fall: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[PHY543_spring_2021|'''Spring: PHY543: RF Superconductivity for Accelerators''']], see also external link '''[https://sites.google.com/view/srfsbu2021/home Sping: PHY 543: RF Superconductivity for Accelerators]''', by Prof. Belomestnykh, Dr. Posen and Dr. Petrushina
* [[PHY691_spring_2021|'''Spring: PHY 691: Computational Accelerator Physics''']], by Pr. François Méot, BNL & SBU
* [[PHY689_spring_2020|'''Spring: PHY 689: USPAS and CERN accelerator physics schools''']]

== 2020 ==
* [[PHY564_fall_2020|'''Fall: PHY 564: Advanced Accelerator Physics''']]
* [[PHY689_spring_2020|'''Fall: PHY 689: USPAS and CERN accelerator physics schools''']]
* [[PHY554_spring_2020|'''Spring: PHY 554: Fundamentals of Accelerator Physics''']]
* [[PHY542_spring_2020|'''Spring: PHY 542: Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]
* [[PHY689_spring_2020|'''Spring: PHY 689: USPAS and CERN accelerator physics schools''']]

== 2019 ==
* [[PHY689_spring_2019|'''Spring: PHY 689, ACCELERATOR Games -- Learning Charged Particle Beam Dynamics by Computer Simulations''']] (François Méot, BNL)
* [[PHY542_spring_2019|'''Spring: PHY 542, Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]

== 2018 ==
* [[PHY554_fall_2018|'''Fall: PHY 554: Fundamentals of Accelerator Physics''']]
* [[media:PHY 514 AP VL.pdf|Fall: PHY 514, A Bit of Accelerator Physics]], by Prof. Litvinenko
* [[PHY689_spring_2018|'''Spring: PHY 689, ACCELERATOR Games -- Learning Charged Particle Beam Dynamics by Computer Simulations''']] (François Méot, BNL)
* [[PHY542_spring_2018|'''Spring: PHY 542, Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]

== 2017 ==
* [[PHY564_fall_2017|'''Fall: PHY 564, Advanced Accelerator Physics''']]
* [[media:PHY 514 AP VL.pdf|Accelerator Physics Class PHY 514]], by Prof. Litvinenko
* [[PHY420_fall_2017|'''Fall: PHY 420, Introduction to Accelerator Science and Technology''']]
* [[PHY542_spring_2017|'''Spring: PHY 542, Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]

== 2016 ==
* [[PHY554_fall_2016|'''PHY 554: Fundamentals of Accelerator Physics''']]
* [[PHY542_spring_2016|'''PHY 542: Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]
* [[media:PHY 514 AP VL.pdf|Accelerator Physics Class PHY 514]], by Prof. Litvinenko

== 2015 ==
* [[PHY564_fall_2015|'''PHY 564: Advanced Accelerator Physics''']]
* [[PHY542_spring_2015|'''PHY 542: Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab''']]
* [[media:PHY 514 AP VL.pdf|Accelerator Physics Class PHY 514]], by Prof. Litvinenko

== 2014 ==
* [[PHY554_spring_2014|'''PHY 554: Fundamentals of Accelerator Physics''']]
== 2013 ==
*Principles of RF Superconductivity, USPAS, Dr. Belomestnykh

== 2011 ==
*'''[https://sites.google.com/site/srfsbu11/ PHY 684: RF superconductivity for accelerators]''', by Prof. Belomestnykh
* Superconducting RF for High-β Accelerators, USPAS 2011, Dr. Belomestnykh

==2010 and before==

* Experiments in PHY 445/515, Fall 2010 [[Lab Manuals]]
* CASE Summer Accelerator [[Workshop]], July 26-30, Dr. Hemmick
* WISE 187, Spring 2010, Introduction to Research, Dr. Hemmick
* Summer 1-Day Accelerator Camp, July 16 2009, Dr. Hemmick
* Accelerator Physics, 13-25 January, 2008, Graduate Course, US Particle Accelerator School, Santa Rosa, CA, Dr. Litvinenko, Satogata, Pozdeyev
* PHY 684, Fall 2007, Physics of Particle Accelerators, Dr. Litvinenko, Kewisch, Mackay, Satogata
* PHY 684, Spring 2007, Physics of Particle Accelerators, Dr. Litvinenko
* PHY 684, Spring 2005, Physics of Particle Accelerators, Dr. Litvinenko, Dr. Mackay
* PHY 684, Spring 2004, Physics of Particle Accelerators, Dr. Peggs, Dr. Litvinenko

PHY554 Fall 2026

2026-08-17T19:57:59Z

YichaoJing: /* Lecture Notes */

PHY554 Fall 2026

2026-08-17T19:57:24Z

YichaoJing: /* List of suggested projects */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2024.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Y. Jing
* [[media:PHY554_Lectures_2&3.pdf|PHY554 Lecturs 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Prof. Y. Jing
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Prof. Y. Jing
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture7_F2024.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2024.pdf|PHY554 Lecture 8, Quadrupole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture9_F2024.pdf|PHY554 Lecture 9, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture10_F2024.pdf|PHY554 Lecture 10, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 11, Introduction to RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 12, Fundamentals of RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. Jun Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. Jun Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

Design and present (can collaborate)

PHY554 Fall 2026

2026-08-17T19:49:32Z

YichaoJing: Created page with "<center> <table width=60% border=1> <tr> <th width=50% align=center>Class meet time and dates</th> <th align=center>Instructors</th> </tr> <tr><td align=left valign=cen..."

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Dr. Jun Ma

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2024.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Y. Jing
* [[media:PHY554_Lectures_2&3.pdf|PHY554 Lecturs 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Prof. Y. Jing
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Prof. Y. Jing
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture7_F2024.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2024.pdf|PHY554 Lecture 8, Quadrupole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture9_F2024.pdf|PHY554 Lecture 9, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture10_F2024.pdf|PHY554 Lecture 10, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 11, Introduction to RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 12, Fundamentals of RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. Jun Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. Jun Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2025

2025-10-28T18:12:44Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2025.pdf|PHY554 Lecture 8, Quadrupole field error and its application]], by Prof. Y. Jing
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 9, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 10, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture11_F2025.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture12_F2025.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing

From 2024

* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]
* [[media:Derivation_of_radiation_power.pdf|Derivations for Synchrotron Radiation]], by Prof. G. Wang

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10, [[media:HW1_2025_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17, [[media:PHY554_2025_HW2_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24, [[media:PHY554_2025_HW3_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW4.pdf|Homework 4]], September 29: due October 8, [[media:PHY554_2025_HW4_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW5.pdf|Homework 5]], October 8: due October 15,

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2025

2025-10-28T15:03:46Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2025.pdf|PHY554 Lecture 8, Quadrupole field error and its application]], by Prof. Y. Jing
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 9, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 10, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture11_F2025.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture12_F2025.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing

From 2024

* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]
* [[media:Derivation_of_radiation_power.pdf|Derivations for Synchrotron Radiation]], by Prof. G. Wang

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10, [[media:HW1_2025_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17, [[media:PHY554_2025_HW2_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24, [[media:PHY554_2025_HW3_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW4.pdf|Homework 4]], September 29: due October 8, [[media:PHY554_2025_HW4_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW5.pdf|Homework 5]], October 8: due October 15,

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2025

2025-10-17T20:04:03Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2025.pdf|PHY554 Lecture 8, Quadrupole field error and its application]], by Prof. Y. Jing
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 9, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 10, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture11_F2025.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture12_F2025.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing

From 2024

* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]
* [[media:Derivation_of_radiation_power.pdf|Derivations for Synchrotron Radiation]], by Prof. G. Wang

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10, [[media:HW1_2025_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17, [[media:PHY554_2025_HW2_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24, [[media:PHY554_2025_HW3_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW4.pdf|Homework 4]], September 29: due October 8, [[media:PHY554_2025_HW4_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW5.pdf|Homework 5]], October 8: due October 15,

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2025

2025-10-15T15:06:00Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2025.pdf|PHY554 Lecture 8, Quadrupole field error and its application]], by Prof. Y. Jing
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 9, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 10, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture11_F2025.pdf|PHY554 Lecture 11, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture12_F2025.pdf|PHY554 Lecture 12, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing

From 2024

* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]
* [[media:Derivation_of_radiation_power.pdf|Derivations for Synchrotron Radiation]], by Prof. G. Wang

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10, [[media:HW1_2025_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17, [[media:PHY554_2025_HW2_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24, [[media:PHY554_2025_HW3_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW4.pdf|Homework 4]], September 29: due October 8, [[media:PHY554_2025_HW4_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW5.pdf|Homework 5]], October 8: due October 15,

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

File:PHY554 Lecture8 F2025.pdf

2025-09-22T19:00:45Z

YichaoJing:

PHY554 Fall 2025

2025-09-22T19:00:31Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2025.pdf|PHY554 Lecture 8, Quadrupole field error and its application]], by Prof. Y. Jing

From 2024
* [[media:PHY554_Lecture9_F2024.pdf|PHY554 Lecture 9, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture10_F2024.pdf|PHY554 Lecture 10, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 11, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 12, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10, [[media:HW1_2025_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17, [[media:PHY554_2025_HW2_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

File:PHY554 Lecture7 F2025.pdf

2025-09-17T19:44:11Z

YichaoJing:

PHY554 Fall 2025

2025-09-17T19:43:50Z

YichaoJing: /* Lecture Notes */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3_2025.pdf ‎|PHY554 Lectures 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Dr. J. Ma
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Dr. J. Ma
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Dr. J. Ma
* [[media:PHY554_Lecture7_F2025.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing

From 2024
* [[media:PHY554_Lecture8_F2024.pdf|PHY554 Lecture 8, Quadrupole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture9_F2024.pdf|PHY554 Lecture 9, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture10_F2024.pdf|PHY554 Lecture 10, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 11, Introduction to RF accelerators]], by Dr. J. Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 12, Fundamentals of RF accelerators]], by Dr. J. Ma
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. J. Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. J. Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10, [[media:HW1_2025_Solutions.pdf|Solutions]]
* [[media:PHY554_2025_HW2.pdf|Homework 2]], September 8: due September 17
* [[media:PHY554_2025_HW3.pdf|Homework 3]], September 15: due September 24

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2024

2025-08-29T18:23:53Z

YichaoJing: /* Homework */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3.pdf|PHY554 Lecturs 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko

From 2024
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Prof. Y. Jing
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Prof. Y. Jing
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture7_F2024.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2024.pdf|PHY554 Lecture 8, Quadrupole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture9_F2024.pdf|PHY554 Lecture 9, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture10_F2024.pdf|PHY554 Lecture 10, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 11, Introduction to RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 12, Fundamentals of RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. Jun Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. Jun Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

PHY554 Fall 2024

2025-08-29T18:23:26Z

YichaoJing: /* Exam */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2025.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lectures_2&3.pdf|PHY554 Lecturs 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko

From 2024
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Prof. Y. Jing
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Prof. Y. Jing
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture7_F2024.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2024.pdf|PHY554 Lecture 8, Quadrupole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture9_F2024.pdf|PHY554 Lecture 9, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture10_F2024.pdf|PHY554 Lecture 10, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 11, Introduction to RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 12, Fundamentals of RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. Jun Ma
* [[media:PHY554_Lecture_22_2024.pdf|PHY554 Lecture 22, Hadron Beam Cooling]], by Dr. Jun Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==
* [[media:HW1_2025.pdf|Homework 1]], August 27: due September 10

== '''<span style="color: red">Exam ==

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]

File:PHY554 2024 HW 6 Soultions.pdf

2024-11-20T18:14:56Z

YichaoJing:

PHY554 Fall 2024

2024-11-20T18:14:15Z

YichaoJing: /* Homework */

<center>
<table width=60% border=1>
<tr>
<th width=50% align=center>Class meet time and dates</th>
<th align=center>Instructors</th>
</tr>

<tr><td align=left valign=center>

* '''When: Mon/Wed, 6:30 pm - 7:50pm '''
* '''Where: Zoom ( Physics D103 , see the map https://www.stonybrook.edu/sb/map/map.pdf)'''
</td>

<td align=left valign=top>

* Prof. Yichao Jing
* Prof. Dmitry Kayran
* Prof. Vladimir N Litvinenko
* Dr. Jun Ma
* Prof. Gang Wang
* '''TA:''' Nikhil Bachhawat

</td>

</tr></table>
[[Image:Accelerators.jpg|350px|Image: 400 pixels|right]]

</center>

== Course Overview ==
The graduate/senior undergraduate level course focuses on the fundamental physics and key concepts of modern particle accelerators. The course is intended for graduate students and advanced undergraduate students who want to familiarize themselves with principles of accelerating charged particles and gain knowledge about contemporary particle accelerators and their applications.

It will cover the following contents:

* History of accelerators and basic principles (eg. centre of mass energy, luminosity, accelerating gradient, etc)

* Radio Frequency cavities, linacs, SRF accelerators;

* Magnets, Transverse motion, Strong focusing, simple lattices; Non-linearities and resonances;

* Circulating beams, Longitutdinal dynamics, Synchrotron radiation; principles of beam cooling,

* Applications of accelerators: light sources, medical uses

Students will be evaluated based on the following performances: '''homework assignments (40%), class participation (20%), mid-term exam (20%) and final presentation on specific research paper (20%), .'''

==Learning Goals==

Students who have completed this course should

* Understand how various types of accelerators work and understand differences between them.
* Have a general understanding of transverse and longitudinal beam dynamics in accelerators.
* Have a general understanding of accelerating structures.
* Understand major applications of accelerators and the recent new concepts.
== Textbook and ''suggested materials''==

Textbook is to be decided from the following:
*Accelerator Physics, by S. Y. Lee
*An Introduction to the Physics of High Energy Accelerators, by D. A. Edwards and M. J. Syphers
*''Introduction To The Physics Of Particle Accelerators'', by Mario Conte and William W Mackay
*''Particle Accelerator Physics'', by Helmut Wiedemann
*''The Physics of Particle Accelerators: An Introduction'', by Klaus Wille and Jason McFall

10+ S.Y. Lee's and Edwards-Syphers' books are available in BNL library and electronic copies are available upon requests.

== Course Description ==

*Introduction to accelerator physics <br />You will have a glance into the history of accelerators and will learn about a variety of accelerators from electrostatic TV-tubes to gigantic atom and nuclear smashers. Basic figures of merit will be introduced (center of mass energy, luminosity, accelerating gradient, etc.) You will learn general principles behing linear accelerators and circular accelerators, their relative advantages and disadvantages.

*Radio frequency cavities, linacs, superconducting RF accelerators <br />This part of the course will be dedicated to physics and technology of accelerating structures. You will learn basic principles of using radio frequency electromagnetic fields to accelerate particles to very high energies. Different types of accelerating structures will be introduced. You will also learn about brand new direction in linear accelerators – so-called energy recovery linacs. As many modern accelerators are based on superconducting RF (SRF) technlogy, you will learn fundamentals of the SRF accelerators and their advantages over conventional (normal conductoing) RF accelerators.

*Linear transverse beam dynamics <br />This part of the course will be dedicated to detailed description of linear dynamics of particles in accelerators. You will learn about similarity of particles motion to an oscillator with time-dependent rigidity, matrix optics of various elements in accelerators, equation for beam envelopes and stability of periodic (circular) motion of the particles. Here you find a number of analogies with planetary motion, including oscillation of Earth’s moon. You will learn some “standards” of the accelerator physics – betatron tunes and beta-function and their importance in circular accelerators.

*Nonlinear transverse beam dynamics <br />This lecture will open door in fascinating and never-ending elegance and complexity on nonlinear beam dynamics. You will learn about non-linear resonances, which may affect stability of the particles and about their location on the tune diagram. You will learn about chromatic (energy dependent) effects, use of non-linear elements to compensate them, and about problems created by introducing them. Some of traditional perturbation theory methods will be introduced during this lecture.

*Longitudinal beam dynamics <br />If you were ever wondering why Saturn rings do not collapse into one large ball of rock under gravitational attraction – this where you will learn of the effect so-called negative mass in longitudinal motion of particles. You will also learn about so-called synchrotron oscillations, which are have a lot of similarity with pendulum motion. One more “tunes” to remember about - synchrotron tune.

*Radiation effects <br />Charged particles going around an accelerator do radiate when their trajectory is bent – hence, there is entire range of topics arising from this fact. It goes from such effect as radiation damping of the particle oscillations, quantum excitation of such oscillation to the use of this extraordinary radiation as cutting-edge research tool. We will look both into positive (usefulness of synchrotron and FEL radiation) and negative (limiting the energy of electron storage rings) aspects of this natural phenomenon.

*Accelerator applications <br />We will devote this part of the course to the discussion of variety of accelerator application, among which are accelerators for nuclear and particle physics, X-ray light sources, accelerators for medical uses, etc. You will also learn about future accelerators at the energy and intensity forntiers as well as about new methods of particle acceleration.

== Lecture Notes ==

* [[media:PHY554_Lecture1_F2024.pdf|PHY554 Lecture 1, Modern Accelerators]], by Prof. Y. Jing
* [[media:PHY554_Lectures_2&3.pdf|PHY554 Lecturs 2 and 3, History of Accelerators]], by Prof. V. N. Litvinenko
* [[media:PHY554_Lecture4_F2024.pdf|PHY554 Lecture 4, Transverse motion]], by Prof. Y. Jing
* [[media:PHY554_Lecture5_F2024.pdf|PHY554 Lecture 5, Floquet Theorem]], by Prof. Y. Jing
* [[media:PHY554_Lecture6_F2024.pdf|PHY554 Lecture 6, Beam Emittance, Dipole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture7_F2024.pdf|PHY554 Lecture 7, Off-momentum particles, dispersion function]], by Prof. Y. Jing
* [[media:PHY554_Lecture8_F2024.pdf|PHY554 Lecture 8, Quadrupole Field Error]], by Prof. Y. Jing
* [[media:PHY554_Lecture9_F2024.pdf|PHY554 Lecture 9, Synchrotron Radiation]], by Prof. G. Wang
* [[media:PHY554_Lecture10_F2024.pdf|PHY554 Lecture 10, Synchrotron Radiation Sources]], by Prof. G. Wang
* [[media:PHY554_2023_Lecture10.pdf|PHY554 Lecture 11, Introduction to RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_2023_Lecture11.pdf|PHY554 Lecture 12, Fundamentals of RF accelerators]], by Dr. Jun Ma
* [[media:PHY554_Lecture13_F2024.pdf|PHY554 Lecture 13, Longitudinal Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture14_15_F2024.pdf|PHY554 Lecture 14-15, Electron storage rings]], by Prof. Y. Jing
* [[media:PHY554_Lecture16_F2024.pdf|PHY554 Lecture 16, Chromaticities and its correction]], by Prof. Y. Jing
* [[media:PHY554_Lecture17_F2024.pdf|PHY554 Lecture 17, Nonlinear Dynamics]], by Prof. Y. Jing
* [[media:PHY554_Lecture18_F2024.pdf|PHY554 Lecture 18, Collective Effects I: Wakefield and Impedances]], by Prof. G. Wang
* [[media:PHY554_Lecture19_F2024.pdf|PHY554 Lecture 19, Collective Effects II: Examples of Collective Instabilities]], by Prof. G. Wang
* [[media:PHY554_Lecture_20-21_2024.pdf|PHY554 Lecture 20-21, Free Electron Lasers]], by Dr. Jun Ma

Home-Reading:
* [[media:Reading_matertials.pdf| Least Action Principle, Geometry of Special Relativity, Particles in E&M fields]], by Prof. Litvinenko'''
* [[media:Matrix_calculus_refresher.pdf|Matrix calculus]]
* [[media:Complex_Analysis_Refresher.pdf| Complex analysis]]
* [[media:Vector_Calculus_Refresher.pdf| Vector calculus]]

== Homework ==

* [[media:HW1_2024.pdf|Homework 1]], August 28: due September 11 [[media:HW 1 2024 solution.pdf|Solutions]]
* [[media:HW2_2024.pdf|Homework 2]], September 11: due September 18 [[media:HW2_2024_solutions.pdf|Solutions]]
* [[media:HW3_2024.pdf|Homework 3]], September 23: due September 30 [[media:HW3_2024_solutions.pdf|Solutions]]
* [[media:HW4_2024.pdf|Homework 4]], October 2: due October 9 [[media:HW4_2024_solutions_1.pdf|Solutions]]
* [[media:PHY554_2024_HW_5.pdf|Homework 5]], October 7: due October 16 [[media:PHY554_2024_HW_5_Soultions.pdf|Solutions]]
* [[media:HW6_2024.pdf|Homework 6]], October 28: due November 4 [[media:PHY554_2024_HW_6_Soultions.pdf|Solutions]]
* [[media:HW7_2024.pdf|Homework 7]], November 13: due November 20
* [[media:PHY554_2024_HW_8.pdf|Homework 8]], November 18: due November 25

== '''<span style="color: red">Exam ==

* [[media:2024 PHY 554 Mid-term.pdf|Mid-term]], Oct 23 8:30 pm: due Oct 24 24:00 pm [[media:2024 PHY 554 Mid-term-solutions.pdf|'''<span style="color: red">Solutions]]

Mid-term course review:
* [[media:PHY554_review_transverse_longitudinal.pdf|Transverse and Longitudinal Dynamics]]
* [[media:PHY554_2024_RF_Review.pdf|RF cavities]]

== List of suggested projects ==

Read and present

* [[media:Projects_PHY554.pdf| Suggested Projects‎]]

Design and present (can collaborate)

* [[media:Design topics.pdf| Suggested Projects‎]]