# Lecture Notes on Topics in Accelerator Physics

## Abstract

These are lecture notes that cover a selection of topics, some of them under current research, in accelerator physics. I try to derive the results from first principles, although the students are assumed to have an introductory knowledge of the basics. The topics covered are: (1) Panofsky-Wenzel and Planar Wake Theorems; (2) Echo Effect; (3) Crystalline Beam; (4) Fast Ion Instability; (5) Lawson-Woodward Theorem and Laser Acceleration in Free Space; (6) Spin Dynamics and Siberian Snakes; (7) Symplectic Approximation of Maps; (8) Truncated Power Series Algebra; and (9) Lie Algebra Technique for nonlinear Dynamics. The purpose of these lectures is not to elaborate, but to prepare the students so that they can do their own research. Each topic can be read independently of the others.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Science (US)

- OSTI Identifier:
- 812598

- Report Number(s):
- SLAC-PUB-9574

TRN: US0303419

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 15 Nov 2002

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ACCELERATION; ACCELERATORS; INSTABILITY; LASERS; PHYSICS; POWER SERIES; SPIN

### Citation Formats

```
Chao, Alex W.
```*Lecture Notes on Topics in Accelerator Physics*. United States: N. p., 2002.
Web. doi:10.2172/812598.

```
Chao, Alex W.
```*Lecture Notes on Topics in Accelerator Physics*. United States. doi:10.2172/812598.

```
Chao, Alex W. Fri .
"Lecture Notes on Topics in Accelerator Physics". United States. doi:10.2172/812598. https://www.osti.gov/servlets/purl/812598.
```

```
@article{osti_812598,
```

title = {Lecture Notes on Topics in Accelerator Physics},

author = {Chao, Alex W.},

abstractNote = {These are lecture notes that cover a selection of topics, some of them under current research, in accelerator physics. I try to derive the results from first principles, although the students are assumed to have an introductory knowledge of the basics. The topics covered are: (1) Panofsky-Wenzel and Planar Wake Theorems; (2) Echo Effect; (3) Crystalline Beam; (4) Fast Ion Instability; (5) Lawson-Woodward Theorem and Laser Acceleration in Free Space; (6) Spin Dynamics and Siberian Snakes; (7) Symplectic Approximation of Maps; (8) Truncated Power Series Algebra; and (9) Lie Algebra Technique for nonlinear Dynamics. The purpose of these lectures is not to elaborate, but to prepare the students so that they can do their own research. Each topic can be read independently of the others.},

doi = {10.2172/812598},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2002},

month = {11}

}