Difference between revisions of "USPAS spring 2023"

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==Hadron Beam Cooling in Particle Accelerators==
 
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<!-------------------------------add date and time -------------------------->
 
<!-------------------------------add date and time -------------------------->
 
*  ''Monday to Thursday:
 
*  ''Monday to Thursday:
9:00-10:30:  Lecture 1
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*9:00-10:20:  Lecture 1
10:45-12:15: Lecture 2
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*10:40-12:00: Lecture 2
14:00-15:30: Lecture 3
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*14:00-15:20: Lecture 3
16:00-16:30: HWs Q&A
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*16:00-16:30: HWs Q&A
19:30-21:00: Recitations, Discussions                 
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*19:30-21:00: Recitations, Discussions                 
 
*  '''Friday  
 
*  '''Friday  
9:00 - 11:00: Final Exam''
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*9:00 - 11:00: Final Exam''
 
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[[Image:Teaches_and_Students_2022.jpg|1000px|Image: 1000 pixels|center]]
 
  
[[Image:Accelerators.jpg|600px|Image: 600 pixels|center]]
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[[Image:Teachers_USPAS_2023.jpeg|900px|Image: 900 pixels|center]]
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==Note==
 
Lectures 1,2 and 4 will be taught remotely - Instructor will be at Conferences
 
  
  
 
==Course Overview==
 
==Course Overview==
This graduate level course focuses on the fundamental physics and explored in depth advanced concepts of modern particle accelerators and theoretical concept related to them.
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This graduate level course focuses on the fundamental physics and explored in depth  
 +
advanced concepts of modern particle accelerators and theoretical concept related to them.
 +
he purpose of this course is to introduce students to methods of hadron beam cooling to reduce
 +
the phase-space area of beams in charged particle circular accelerators. Beam cooling enables
 +
higher beam brightness and enhanced performance in many accelerator applications.
 +
The course is designed for graduate students pursuing accelerator physics as a career,
 +
or scientists or engineers having an interest in this topic in accelerator science
  
 
==Course Content==
 
==Course Content==
* Principle of least actions, relativistic mechanics and E&D, 4D notations
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The course will start with a description of Hamiltonian and non-Hamiltonian processes in particle accelerators.
* N-dimensional phase space, Canonical transformations, symplecticity and invariants of motion
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Examples of beam invariants, cooling decrements  and diffusion processes will be discussed. Four cooling methods -  
* Relativistic beams, Reference orbit and Accelerator Hamiltonian
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classical electron cooling, stochastic and optical stochastic cooling, and coherent electron cooling -
* Parameterization of linear motion in accelerators, Transport matrices, matrix functions, Sylvester's formula, stability of the motion
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and their applications will be presented in detail.
* Invariants of motion, Canonical transforms to the action and phase variables, emittance of the beam, perturbation methods. Poincare diagrams
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* Standard problems in accelerators: closed orbit, excitation of oscillations, radiation damping and quantum excitation, natural emittance
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==Lectures==
* Non-linear effects, Lie algebras and symplectic maps
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*'''[[media:Lecture_M1_up.pdf|Monday, Lecture 1, Introduction, Hamiltonian method for accelerators..]],  by Prof. Litvinenko'''
* Vlasov and Fokker-Plank equations, collective instabilities & Landau Damping
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*'''[[media:Lecture_M2_up.pdf|Monday, Lecture 2, Parametrization of particles motion, Action and phase variables..]], by Prof. Litvinenko'''
* Spin motion in accelerators
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*'''[[media:Lecture_M3_up.pdf|Monday, Lecture 3, Damping and Diffusion coefficients, Fokker-Plank equations, distribution functions...]], by Prof. Litvinenko'''
* Types and Components of Accelerators
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*'''[[media:USPAS_2023_ecooling.pdf|Tuesday, Lectures 1-3, Electrron Cooling]],  by Prof. Jing'''
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*'''[[media:USPAS_StochasticCooling_Lecture1_Introduction_IrinaPetrushina.pdf|Wednesday, Lecture 1, Stochastic Cooling: Introduction]], by Prof. Petrushina'''
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*'''[[media:USPAS_StochasticCooling_Lecture2_Experimental_Realization_IrinaPetrushina.pdf|Wednesday, Lecture 2, Stochastic Cooling: Details and Experimental realization]], by Prof. Petrushina'''
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*'''[[media: USPAS_StochasticCooling_Lecture3_OpticalStochasticCooling_IrinaPetrushina.pdf|Wednesday, Lecture 3, Stochastic Cooling: Optical Stochastic Cooling]],  by Prof. Petrushina'''
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*'''[[media: USPAS_2023_CeC.pdf|Thursday, Lecture 1-3, Coherent electron Cooling]], by Dr. Ma'''
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*'''[[media:USPAS23_Final_Exam.pdf|Friday, 9-11 am, Final Exam Problems]]'''
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*'''[[media:Final_exam_problem1_solution.pdf|Final Exam, Problem 1 solution]]'''
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*'''[[media:Final_ecooling_solution.pdf|Final Exam, Problem 2 solution]]'''
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*'''[[media:USPAS23_StochasticCooling_FinalSolutions.pdf|Final Exam, Problem 3 solution]]'''
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*'''[[media:Final_CeC_Solution.pdf|Final Exam, Problem 4 solution]]
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==Homeworks==
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*''[[media:Monday_HWs_1.pdf|Monday Homeworks]], Due - Tuesday, January 31, 9:00 AM''
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*[[media:Monday_HWs_solutions.pdf|Monday Homeworks solutions]]
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*''[[media:USPAS2023_ecooling.pdf|Tuesday Homeworks]], Due - Wednesday, February 1, 9:00 AM''
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*[[media:USPAS2023_ecooling_solution.pdf|Tuesday Homeworks solutions]]
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*''[[media:USPAS23_StochasticCooling_Homework.pdf|Wednesday Homework]], Due - Thursday, February 2, 9:00 AM''
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*[[media:USPAS23_StochasticCooling_Homework_Solutions.pdf|Wednesday Homework solutions]]
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Latest revision as of 17:26, 6 February 2023

Hadron Beam Cooling in Particle Accelerators

Class meet time and dates Instructors
  • Monday to Thursday:
  • 9:00-10:20: Lecture 1
  • 10:40-12:00: Lecture 2
  • 14:00-15:20: Lecture 3
  • 16:00-16:30: HWs Q&A
  • 19:30-21:00: Recitations, Discussions
  • Friday
  • 9:00 - 11:00: Final Exam
  • Prof. Vladimir Litvinenko
  • Prof. Yichao Jing
  • Prof. Irina Petrushina
  • Dr. Jun Ma
Image: 900 pixels



Course Overview

This graduate level course focuses on the fundamental physics and explored in depth advanced concepts of modern particle accelerators and theoretical concept related to them. he purpose of this course is to introduce students to methods of hadron beam cooling to reduce the phase-space area of beams in charged particle circular accelerators. Beam cooling enables higher beam brightness and enhanced performance in many accelerator applications. The course is designed for graduate students pursuing accelerator physics as a career, or scientists or engineers having an interest in this topic in accelerator science

Course Content

The course will start with a description of Hamiltonian and non-Hamiltonian processes in particle accelerators. Examples of beam invariants, cooling decrements and diffusion processes will be discussed. Four cooling methods - classical electron cooling, stochastic and optical stochastic cooling, and coherent electron cooling - and their applications will be presented in detail.

Lectures

Homeworks