# Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler

## Abstract

Most studies of Coherent Synchrotron Radiation (CSR) have only considered the radiation from independent dipole magnets. However, in the damping rings of future linear colliders, a large fraction of the radiation power will be emitted in damping wigglers. In this paper, the longitudinal wakefield and impedance due to CSR in a wiggler are derived in the limit of a large wiggler parameter K. After an appropriate scaling, the results can be expressed in terms of universal functions, which are independent of K. Analytical asymptotic results are obtained for the wakefield in the limit of large and small distances, and for the impedance in the limit of small and high frequencies.

- Authors:

- Publication Date:

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

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

- OSTI Identifier:
- 812614

- Report Number(s):
- SLAC-PUB-9628

TRN: US0303435

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 24 Jan 2003

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; DAMPING; DIPOLES; IMPEDANCE; LINEAR COLLIDERS; WIGGLER MAGNETS; SYNCHROTRON RADIATION; COHERENT RADIATION; CALCULATION METHODS

### Citation Formats

```
Wu, Juhao.
```*Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler*. United States: N. p., 2003.
Web. doi:10.2172/812614.

```
Wu, Juhao.
```*Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler*. United States. doi:10.2172/812614.

```
Wu, Juhao. Fri .
"Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler". United States.
doi:10.2172/812614. https://www.osti.gov/servlets/purl/812614.
```

```
@article{osti_812614,
```

title = {Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler},

author = {Wu, Juhao},

abstractNote = {Most studies of Coherent Synchrotron Radiation (CSR) have only considered the radiation from independent dipole magnets. However, in the damping rings of future linear colliders, a large fraction of the radiation power will be emitted in damping wigglers. In this paper, the longitudinal wakefield and impedance due to CSR in a wiggler are derived in the limit of a large wiggler parameter K. After an appropriate scaling, the results can be expressed in terms of universal functions, which are independent of K. Analytical asymptotic results are obtained for the wakefield in the limit of large and small distances, and for the impedance in the limit of small and high frequencies.},

doi = {10.2172/812614},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Fri Jan 24 00:00:00 EST 2003},

month = {Fri Jan 24 00:00:00 EST 2003}

}

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