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.

*Prerequisites: P570.*- PHYS-P571 (29572) Special Topics in Physics of Beams (3 CR)
- Time: USPAS at Hampton, Virginia January 19-30, 2015
- Instructors:
- Xiaobiao Huang, SLAC National Accelerator Lab;

Yue Hao and Yichao Jing, Brookhaven National Lab;

King Y. Ng, (Ret.) and

S.Y. Lee, Indiana University - Textbook: Physics of Intensity Dependent Beam Instabilities by K. Y. Ng (Author) ISBN-13: 978-9812563422 ISBN-10: 9812563423

Day | Topics | Lecturer |

1 2 | 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 3. TPSA 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 |

5 6 | 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 |

8 9 10 | 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 |