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Title: Three-dimensional analysis of harmonic generation in high-gain free-electron lasers

Abstract

In a high-gain free-electron laser (FEL) employing a planar undulator, strong bunching at the fundamental wavelength can drive substantial bunching and power levels at the harmonic frequencies. In this paper we investigate the three-dimensional evolution of harmonic radiation based on the coupled Maxwell-Klimontovich equations that take into account nonlinear harmonic interactions. Each harmonic field is a sum of a linear amplification term and a term driven by nonlinear harmonic interactions. After a certain stage of exponential growth, the dominant nonlinear term is determined by interactions of the lower nonlinear harmonics and the fundamental radiation. As a result, the gain length, transverse profile, and temporal structure of the first few harmonics are eventually governed by those of the fundamental. Transversely coherent third-harmonic radiation power is found to approach 1% of the fundamental power level for current high-gain FEL projects.

Authors:
;
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40205408
Resource Type:
Journal Article
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 62; Journal Issue: 5; Other Information: Othernumber: PLEEE8000062000005007295000001; 187011PRE; PBD: Nov 2000; Journal ID: ISSN 1063-651X
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLIFICATION; FREE ELECTRON LASERS; HARMONIC GENERATION; HARMONICS; LASERS; RADIATIONS; WAVELENGTHS

Citation Formats

Huang, Zhirong, and Kim, Kwang-Je. Three-dimensional analysis of harmonic generation in high-gain free-electron lasers. United States: N. p., 2000. Web. doi:10.1103/PhysRevE.62.7295.
Huang, Zhirong, & Kim, Kwang-Je. Three-dimensional analysis of harmonic generation in high-gain free-electron lasers. United States. https://doi.org/10.1103/PhysRevE.62.7295
Huang, Zhirong, and Kim, Kwang-Je. 2000. "Three-dimensional analysis of harmonic generation in high-gain free-electron lasers". United States. https://doi.org/10.1103/PhysRevE.62.7295.
@article{osti_40205408,
title = {Three-dimensional analysis of harmonic generation in high-gain free-electron lasers},
author = {Huang, Zhirong and Kim, Kwang-Je},
abstractNote = {In a high-gain free-electron laser (FEL) employing a planar undulator, strong bunching at the fundamental wavelength can drive substantial bunching and power levels at the harmonic frequencies. In this paper we investigate the three-dimensional evolution of harmonic radiation based on the coupled Maxwell-Klimontovich equations that take into account nonlinear harmonic interactions. Each harmonic field is a sum of a linear amplification term and a term driven by nonlinear harmonic interactions. After a certain stage of exponential growth, the dominant nonlinear term is determined by interactions of the lower nonlinear harmonics and the fundamental radiation. As a result, the gain length, transverse profile, and temporal structure of the first few harmonics are eventually governed by those of the fundamental. Transversely coherent third-harmonic radiation power is found to approach 1% of the fundamental power level for current high-gain FEL projects.},
doi = {10.1103/PhysRevE.62.7295},
url = {https://www.osti.gov/biblio/40205408}, journal = {Physical Review E},
issn = {1063-651X},
number = 5,
volume = 62,
place = {United States},
year = {2000},
month = {11}
}