Sideband instability analysis based on a one-dimensional high-gain free electron laser model

When an untapered high-gain free electron laser (FEL) reaches saturation, the exponential growth ceases and the radiation power starts to oscillate about an equilibrium. The FEL radiation power or efficiency can be increased by undulator tapering. For a high-gain tapered FEL, although the power is e...

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Main Authors: Cheng-Ying Tsai, Juhao Wu, Chuan Yang, Moohyun Yoon, Guanqun Zhou
Format: Article
Language:English
Published: American Physical Society 2017-12-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.20.120702
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author Cheng-Ying Tsai
Juhao Wu
Chuan Yang
Moohyun Yoon
Guanqun Zhou
author_facet Cheng-Ying Tsai
Juhao Wu
Chuan Yang
Moohyun Yoon
Guanqun Zhou
author_sort Cheng-Ying Tsai
collection DOAJ
description When an untapered high-gain free electron laser (FEL) reaches saturation, the exponential growth ceases and the radiation power starts to oscillate about an equilibrium. The FEL radiation power or efficiency can be increased by undulator tapering. For a high-gain tapered FEL, although the power is enhanced after the first saturation, it is known that there is a so-called second saturation where the FEL power growth stops even with a tapered undulator system. The sideband instability is one of the primary reasons leading to this second saturation. In this paper, we provide a quantitative analysis on how the gradient of undulator tapering can mitigate the sideband growth. The study is carried out semianalytically and compared with one-dimensional numerical simulations. The physical parameters are taken from Linac Coherent Light Source-like electron bunch and undulator systems. The sideband field gain and the evolution of the radiation spectra for different gradients of undulator tapering are examined. It is found that a strong undulator tapering (∼10%) provides effective suppression of the sideband instability in the postsaturation regime.
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spelling doaj.art-9e2c66197fc04770924560b3f4fe7f232022-12-22T02:50:18ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882017-12-01201212070210.1103/PhysRevAccelBeams.20.120702Sideband instability analysis based on a one-dimensional high-gain free electron laser modelCheng-Ying TsaiJuhao WuChuan YangMoohyun YoonGuanqun ZhouWhen an untapered high-gain free electron laser (FEL) reaches saturation, the exponential growth ceases and the radiation power starts to oscillate about an equilibrium. The FEL radiation power or efficiency can be increased by undulator tapering. For a high-gain tapered FEL, although the power is enhanced after the first saturation, it is known that there is a so-called second saturation where the FEL power growth stops even with a tapered undulator system. The sideband instability is one of the primary reasons leading to this second saturation. In this paper, we provide a quantitative analysis on how the gradient of undulator tapering can mitigate the sideband growth. The study is carried out semianalytically and compared with one-dimensional numerical simulations. The physical parameters are taken from Linac Coherent Light Source-like electron bunch and undulator systems. The sideband field gain and the evolution of the radiation spectra for different gradients of undulator tapering are examined. It is found that a strong undulator tapering (∼10%) provides effective suppression of the sideband instability in the postsaturation regime.http://doi.org/10.1103/PhysRevAccelBeams.20.120702
spellingShingle Cheng-Ying Tsai
Juhao Wu
Chuan Yang
Moohyun Yoon
Guanqun Zhou
Sideband instability analysis based on a one-dimensional high-gain free electron laser model
Physical Review Accelerators and Beams
title Sideband instability analysis based on a one-dimensional high-gain free electron laser model
title_full Sideband instability analysis based on a one-dimensional high-gain free electron laser model
title_fullStr Sideband instability analysis based on a one-dimensional high-gain free electron laser model
title_full_unstemmed Sideband instability analysis based on a one-dimensional high-gain free electron laser model
title_short Sideband instability analysis based on a one-dimensional high-gain free electron laser model
title_sort sideband instability analysis based on a one dimensional high gain free electron laser model
url http://doi.org/10.1103/PhysRevAccelBeams.20.120702
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