# Improvement of nonlinear harmonics in free electron laser with planar wiggler

## Abstract

Spontaneous emission of free electron laser with planar wiggler and ion-channel guiding is calculated analytically and possibility of emission at up-shifted wiggler or ion-channel betatron frequency and their harmonics has been found. To investigate the nonlinear odd harmonics, a set of self-consistent nonlinear differential equations that governs the evolution of radiation and electron beam are derived and solved numerically by Runge-Kutta method. Using the simulation code, gain improvement of third harmonic is studied in the range of microwave frequency by applying ion-channel guiding for a cold beam. It is shown that the combination of the ion-channel and a prebunched electron beam increases the amplitude of the third harmonic of the radiation and decreases its saturation length. The relation between the linear and nonlinear harmonics is discussed.

- Authors:

- Department of Physics, Amirkabir University of Technology, Post code 15875-4413, Tehran (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 22072599

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 19; Journal Issue: 11; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAM BUNCHING; BETATRONS; COMPUTERIZED SIMULATION; DIFFERENTIAL EQUATIONS; ELECTRON BEAMS; FREE ELECTRON LASERS; HARMONIC GENERATION; IONS; MICROWAVE RADIATION; NONLINEAR PROBLEMS; RUNGE-KUTTA METHOD

### Citation Formats

```
Bazouband, F., and Maraghechi, B.
```*Improvement of nonlinear harmonics in free electron laser with planar wiggler*. United States: N. p., 2012.
Web. doi:10.1063/1.4766471.

```
Bazouband, F., & Maraghechi, B.
```*Improvement of nonlinear harmonics in free electron laser with planar wiggler*. United States. doi:10.1063/1.4766471.

```
Bazouband, F., and Maraghechi, B. Thu .
"Improvement of nonlinear harmonics in free electron laser with planar wiggler". United States. doi:10.1063/1.4766471.
```

```
@article{osti_22072599,
```

title = {Improvement of nonlinear harmonics in free electron laser with planar wiggler},

author = {Bazouband, F. and Maraghechi, B.},

abstractNote = {Spontaneous emission of free electron laser with planar wiggler and ion-channel guiding is calculated analytically and possibility of emission at up-shifted wiggler or ion-channel betatron frequency and their harmonics has been found. To investigate the nonlinear odd harmonics, a set of self-consistent nonlinear differential equations that governs the evolution of radiation and electron beam are derived and solved numerically by Runge-Kutta method. Using the simulation code, gain improvement of third harmonic is studied in the range of microwave frequency by applying ion-channel guiding for a cold beam. It is shown that the combination of the ion-channel and a prebunched electron beam increases the amplitude of the third harmonic of the radiation and decreases its saturation length. The relation between the linear and nonlinear harmonics is discussed.},

doi = {10.1063/1.4766471},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 11,

volume = 19,

place = {United States},

year = {2012},

month = {11}

}