P571: Special Topics in Accelerator Physics

This course will cover Topics include Nonlinear beam dynamics, symplectic maps, Lie algebra, Truncated power series algebra, space charge dynamics; Collective beam instabilities, Panofsky-Wenzel theorem of wake fields, Vlasov and Fokker-Planck equations; Beam-Laser interaction, and advanced beam data analysis methods; etc.

Day TopicsLecturer


Accelerator modeling and optimization: 1. building lattice models (tracking through common accelerator elements, calculation of lattice functions, etc) , 2. calibration of accelerator lattice with beam-based measurement (orbit response matrix and turn by turn BPM), 3. optimization of lattice design, 4. online optimization of real machines.
1. Lecture_1_modeling_accelerators
2. Lecture_2_lattice_parameters
3. Lecture_3_misc_topics
4. Lecture_4_lattice_corr
5. Lecture_5_optimization
Lecture Note (Part 1)    Homework for Part 1    Homework 1&2 solution
Xiaobiao Huang
3 Beam-beam effect, TPSA, beam laser interaction
1. Beam-Beam interaction
2. laser-Beam Manipulation
Lecture Note (Part 2)    Homework #3    Homework solution #3
Yue Hao
4 symplectic integration, TPSA, nonlinear beam dynamics; beam laser interaction
1. Simplextic integration
2. Nonlinear Dynamics
Lecture Note (Part 3)    Homework #4    Homework #4 Solution
Yichao Jing


Collective Beam Instabilities: Wenzel-Panosky theorem; Definition of wakes and impedances; Theory of Landau damping Various types of intensity dependent instabilities; Microwave instabilities; Robinson instabilities; Head-tail instabilities; Resistive wall instabilities; Beam breakup, etc Transition crossing and negative-mass instabilities; Space-charge driven instabilities and issues; Micro-bunching in rings; Micro-bunching in linacs
Lecture Note    Slides    Homework Solution
K.Y. Ng
Beam Dynamics Issues: Experimental measurements of nonlinear resonances; Synchrobetatron resonance, and spin dynamics
Lecture Note (Part 5)    Slide1    Slide2    Slide3    Homework_Part_5    Homework_Part_5_SOL
S.Y. Lee