# Analysis of FEL-based CeC amplification at high gain limit

## Abstract

An analysis of Coherent electron Cooling (CeC) amplifier based on 1D Free Electron Laser (FEL) theory was previously performed with exact solution of the dispersion relation, assuming electrons having Lorentzian energy distribution. At high gain limit, the asymptotic behavior of the FEL amplifier can be better understood by Taylor expanding the exact solution of the dispersion relation with respect to the detuning parameter. In this work, we make quadratic expansion of the dispersion relation for Lorentzian energy distribution and investigate how longitudinal space charge and electrons’ energy spread affect the FEL amplification process.

- Authors:

- Brookhaven National Lab. (BNL), Upton, NY (United States)

- Publication Date:

- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1188241

- Report Number(s):
- BNL-107448-2015-CP

R&D Project: KBCH139; KB0202011; TRN: US1500248

- DOE Contract Number:
- SC00112704

- Resource Type:
- Conference

- Resource Relation:
- Conference: 6th International Particle Accelerator Conference (IPAC’15), Richmond, VA (United States), 3-8 May 2015

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; ENERGY SPECTRA; AMPLIFIERS; EXACT SOLUTIONS; DISPERSION RELATIONS; FREE ELECTRON LASERS; ASYMPTOTIC SOLUTIONS; ELECTRON COOLING; SPACE CHARGE; SERIES EXPANSION

### Citation Formats

```
Wang, G., Litvinenko, V., and Jing, Y.
```*Analysis of FEL-based CeC amplification at high gain limit*. United States: N. p., 2015.
Web.

```
Wang, G., Litvinenko, V., & Jing, Y.
```*Analysis of FEL-based CeC amplification at high gain limit*. United States.

```
Wang, G., Litvinenko, V., and Jing, Y. Sun .
"Analysis of FEL-based CeC amplification at high gain limit". United States. https://www.osti.gov/servlets/purl/1188241.
```

```
@article{osti_1188241,
```

title = {Analysis of FEL-based CeC amplification at high gain limit},

author = {Wang, G. and Litvinenko, V. and Jing, Y.},

abstractNote = {An analysis of Coherent electron Cooling (CeC) amplifier based on 1D Free Electron Laser (FEL) theory was previously performed with exact solution of the dispersion relation, assuming electrons having Lorentzian energy distribution. At high gain limit, the asymptotic behavior of the FEL amplifier can be better understood by Taylor expanding the exact solution of the dispersion relation with respect to the detuning parameter. In this work, we make quadratic expansion of the dispersion relation for Lorentzian energy distribution and investigate how longitudinal space charge and electrons’ energy spread affect the FEL amplification process.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2015},

month = {5}

}

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