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Title: Simple model for the nonlinear radiation field of a free electron laser

Abstract

It is shown that Jacobi elliptic function solutions of the nonlinear Duffing equation model the radiation field in a high-gain free electron laser through early saturation. After initial start-up, the field can be expressed equivalently with a hyperbolic secant. The model is derived for arbitrary detuning from resonance, which enables study of the spectral properties in the early nonlinear regime.

Authors:
ORCiD logo
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1731025
Alternate Identifier(s):
OSTI ID: 1768388
Grant/Contract Number:  
AC02-76SF00515; 2017-SLAC-100382
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams Journal Volume: 23 Journal Issue: 12; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Hemsing, Erik. Simple model for the nonlinear radiation field of a free electron laser. United States: N. p., 2020. Web. doi:10.1103/PhysRevAccelBeams.23.120703.
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Hemsing, Erik. Simple model for the nonlinear radiation field of a free electron laser. United States. https://doi.org/10.1103/PhysRevAccelBeams.23.120703
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Hemsing, Erik. Fri . "Simple model for the nonlinear radiation field of a free electron laser". United States. https://doi.org/10.1103/PhysRevAccelBeams.23.120703.
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@article{osti_1731025,
title = {Simple model for the nonlinear radiation field of a free electron laser},
author = {Hemsing, Erik},
abstractNote = {It is shown that Jacobi elliptic function solutions of the nonlinear Duffing equation model the radiation field in a high-gain free electron laser through early saturation. After initial start-up, the field can be expressed equivalently with a hyperbolic secant. The model is derived for arbitrary detuning from resonance, which enables study of the spectral properties in the early nonlinear regime.},
doi = {10.1103/PhysRevAccelBeams.23.120703},
journal = {Physical Review Accelerators and Beams},
number = 12,
volume = 23,
place = {United States},
year = {Fri Dec 04 00:00:00 EST 2020},
month = {Fri Dec 04 00:00:00 EST 2020}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevAccelBeams.23.120703
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Works referenced in this record:

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