Three-dimensional statistical theory for analyzing high-gain free-electron laser at saturation

Zhang Hui; Zhang Pengfei; Li Yiding

doi:10.3788/HPLPB201426.025103

Volume 26 Issue 02

Jan. 2014

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Article Navigation > High Power Laser and Particle Beams > 2014 > 26(02): 025103

Jia Rui, Wang Qingguo, Wang Shuqiao, et al. Model of field-to-line coupling in a reverberation chamber based on transmission line theory[J]. High Power Laser and Particle Beams, 2014, 26: 014006. doi: 10.3788/HPLPB201426.014006

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Zhang Hui, Zhang Pengfei, Li Yiding. Three-dimensional statistical theory for analyzing high-gain free-electron laser at saturation[J]. High Power Laser and Particle Beams, 2014, 26: 025103. doi: 10.3788/HPLPB201426.025103

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Three-dimensional statistical theory for analyzing high-gain free-electron laser at saturation

doi: 10.3788/HPLPB201426.025103

1.
National Synchrotron Radiation Laboratory,University of Science and Technology of China,Hefei 230029,China;
2.
School of Nuclear Science and Technology,University of Science and Technology of China,Hefei 230029,China;
3.
CAS Key Laboratory of Basic Plasma Physics,Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China

Received Date: 2013-04-13
Rev Recd Date: 2013-07-17
Publish Date: 2014-02-15

Abstract

Abstract

Considering the transverse emittance of electron beam and electron beta oscillation, the statistical physics approach of the analysis to the single pass high-gain free electron laser at saturation is improved and extended to the three-dimensional case. Firstly, a three-dimensional, normalized and simplified model is conducted, then the Vlasov equation of one-dimensional light field including the transverse movement of electrons is derived. In the helical undulator case a three-dimensional statistical physics approach is developed by introducing the conserved quantities of transverse movement, and the relevant code is written for calculation of the saturation intensity, bunching factor and other parameters. For comparison and verification, a direct numerical simulation code of free electron laser which includes N particles is written. The results of numerical simulation and statistical theory are in well accordance with the original one-dimensional simulation and statistical physics approach, and the three-dimensional theory reveals the effect of saturation point parameters introduced by transverse emittance of electron beam and electron beta oscillation.
- free electron lasers,
- statistical mechanics methods,
- saturation state,
- numerical simulation,
- transverse oscillation,
- relative correction

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