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Effects of wiggler error in a free-electron laser oscillator with two electron beams

Published online by Cambridge University Press:  18 December 2018

Soon-Kwon Nam*
Affiliation:
Department of Physics, Kangwon National University, Chunchon 24341, Korea
*
Author for correspondence: Soon-Kwon Nam, Department of Physics, Kangwon National University, Chunchon 24341, Korea, E-mail: snam@kangwon.ac.kr

Abstract

We have analyzed the effects of the wiggler error due to the electron beam's emittance, energy spreads, and higher-order modes in a free-electron laser (FEL) oscillator by using two electron beams of different energies based on the proposed FEL facility which is operated at a far-infrared and infrared regions. The three-dimensional (3D) effects in a FEL oscillator due to the wiggler error were calculated and an evaluation of the effect of the beam's emittance and energy spread was performed for the case of the coupled two-beam oscillator for phase shift errors and wiggler errors. The mode construction was studied on the higher-order modes of the wiggler for the various wiggler error parameters for FEL performance which is required for the high-quality electron beam. The radiation intensity at the fundamental mode was calculated for the rms phase shake in wiggler errors with sinus type, constant type, and parabolic type in the two-beam oscillator system using the 3D calculations. The results are compared with those of the fundamental modes without wiggler errors.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2018 

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References

Bonifacio, R and McNeil, BWJ (1988) Slippage and superradiance in the high-gain FEL. Nuclear Instruments & Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors, and Associated Equipment 272, 280.Google Scholar
Bonifacio, R, Pelligrini, C and Narducci, LM (1984) Collective instabilities and high-gain regime in a free electron laser. Optics Communications 50, 373.Google Scholar
Freund, HP and Jackson, RH (1994) Wiggler imperfections in free-electron lasers. Nuclear Instruments and Methods in Physics Research Section A 341, 225229.Google Scholar
Huang, Z and Kim, KJ (2007) Review of x-ray free-electron laser theory. Physical Review Accelerators and Beams 10, 034801.Google Scholar
Li, Y, Faatz, B and Pflueger, J (2008) Undulator system tolerance analysis for the European x-ray free-electron laser. Physical Review Accelerators and Beams 11, 100701.Google Scholar
McNeil, BWJ, Robb, GRM and Poole, MW (2004) Two-beam free-electron laser. Physical Review E, 70, 035501.Google Scholar
Nam, S and Kim, K (2010) Stability of an electron beam in a two-frequency wiggler with a self-generated field. Journal of Plasma Physics, 77, 257.Google Scholar
Wang, XJ, Watanabe, T, Shen, Y, Li, RK, Murphy, JB, Tsang, T and Freund, HP (2007) Efficiency enhancement using electron energy detuning in a laser seeded free electron laser amplifier. Applied Physics Letters 91, 181115.Google Scholar
Wu, P and Lu, B (2002) Propagation of three-dimensional elegant Hermite-Gaussian beam through a 4 × 4 paraxial optical system. Optik. 113, 245.Google Scholar
Xie, M (2000) Exact and variational solutions of 3D eigenmodes in high gain FELs. Nuclear Instruments & Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors, and Associated Equipment 445, 59.Google Scholar
Yu, LH and Krinsky, S (1992) Effect of wiggler errors on free electron-laser gain. Physical Review A 45, 1163.Google Scholar
Yu, LH, Krinski, S and Gluckstern, R (1990) Calculation of universal scaling function for free-electron-laser gain. Physical Review Letters 64, 3011.Google Scholar