Sideband instability analysis based on a one-dimensional high-gain free electron laser model
Abstract
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.
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1413830
- Alternate Identifier(s):
- OSTI ID: 1416368
- Grant/Contract Number:
- AC02-76SF00515; FWP-2013-SLAC-100164
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 20 Journal Issue: 12; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS
Citation Formats
Tsai, Cheng-Ying, Wu, Juhao, Yang, Chuan, Yoon, Moohyun, and Zhou, Guanqun. Sideband instability analysis based on a one-dimensional high-gain free electron laser model. United States: N. p., 2017.
Web. doi:10.1103/PhysRevAccelBeams.20.120702.
Tsai, Cheng-Ying, Wu, Juhao, Yang, Chuan, Yoon, Moohyun, & Zhou, Guanqun. Sideband instability analysis based on a one-dimensional high-gain free electron laser model. United States. https://doi.org/10.1103/PhysRevAccelBeams.20.120702
Tsai, Cheng-Ying, Wu, Juhao, Yang, Chuan, Yoon, Moohyun, and Zhou, Guanqun. Mon .
"Sideband instability analysis based on a one-dimensional high-gain free electron laser model". United States. https://doi.org/10.1103/PhysRevAccelBeams.20.120702.
@article{osti_1413830,
title = {Sideband instability analysis based on a one-dimensional high-gain free electron laser model},
author = {Tsai, Cheng-Ying and Wu, Juhao and Yang, Chuan and Yoon, Moohyun and Zhou, Guanqun},
abstractNote = {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.},
doi = {10.1103/PhysRevAccelBeams.20.120702},
journal = {Physical Review Accelerators and Beams},
number = 12,
volume = 20,
place = {United States},
year = {Mon Dec 18 00:00:00 EST 2017},
month = {Mon Dec 18 00:00:00 EST 2017}
}
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https://doi.org/10.1103/PhysRevAccelBeams.20.120702
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Cited by: 6 works
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Figures / Tables:
FIG. 1: The growth rate jImkj as a function of κ. The dispersion curve is obtained by solving Eq. (20) with Ωsyn,0 ≈ 4.4, $\mid$E0$\mid$≈ 10, and fB = fR = 1. The green dashed lines indicate the analytical approximate solutions of the maximum growth rate max jImkj [Eq. (21)]more »
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Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.