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Title: Analytical theory of short-pulse free-electron laser oscillators

Abstract

A simple model for the nonlinear evolution of a short-pulse free-electron laser oscillator in the small gain regime is derived. An analysis of the linearized system allows the definition and calculation of the eigenmodes characterizing the small signal regime. An arbitrary solution of the nonlinear system can then be expanded in terms of these supermodes. In the single-supermode approximation, the system reduces to a Landau-Ginzburg equation, which allows the efficiency and saturated power to be obtained as functions of cavity detuning and cavity losses. In the limit of small cavity detuning, electrons emit superradiantly, with an efficiency inversely proportional to the number of radiation wavelengths within the optical pulse, and power proportional to the square of the bunch charge. In the multisupermode regime, limit cycles and period doubling behavior are observed and interpreted as a competition between supermodes. Finally, the analytical and numerical results are compared with the experimental observations from the Free-Electron Laser for Infrared eXperiments experiment.

Authors:
; ; ;  [1]
  1. Commissariat a l`Energie Atomique, Service de Physique et Techniques Nucleaires, Boite Postale 12, 91680 Bruyeres-le-Chatel (France)
Publication Date:
OSTI Identifier:
122416
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 52; Journal Issue: 5; Other Information: PBD: Nov 1995
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; FREE ELECTRON LASERS; PULSES; OPTICAL MODELS; OSCILLATION MODES; EFFICIENCY; SUPERRADIANCE

Citation Formats

Piovella, N, Chaix, P, Shvets, G, Jaroszynski, D A, and Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543. Analytical theory of short-pulse free-electron laser oscillators. United States: N. p., 1995. Web. doi:10.1103/PhysRevE.52.5470.
Piovella, N, Chaix, P, Shvets, G, Jaroszynski, D A, & Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543. Analytical theory of short-pulse free-electron laser oscillators. United States. https://doi.org/10.1103/PhysRevE.52.5470
Piovella, N, Chaix, P, Shvets, G, Jaroszynski, D A, and Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543. 1995. "Analytical theory of short-pulse free-electron laser oscillators". United States. https://doi.org/10.1103/PhysRevE.52.5470.
@article{osti_122416,
title = {Analytical theory of short-pulse free-electron laser oscillators},
author = {Piovella, N and Chaix, P and Shvets, G and Jaroszynski, D A and Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543},
abstractNote = {A simple model for the nonlinear evolution of a short-pulse free-electron laser oscillator in the small gain regime is derived. An analysis of the linearized system allows the definition and calculation of the eigenmodes characterizing the small signal regime. An arbitrary solution of the nonlinear system can then be expanded in terms of these supermodes. In the single-supermode approximation, the system reduces to a Landau-Ginzburg equation, which allows the efficiency and saturated power to be obtained as functions of cavity detuning and cavity losses. In the limit of small cavity detuning, electrons emit superradiantly, with an efficiency inversely proportional to the number of radiation wavelengths within the optical pulse, and power proportional to the square of the bunch charge. In the multisupermode regime, limit cycles and period doubling behavior are observed and interpreted as a competition between supermodes. Finally, the analytical and numerical results are compared with the experimental observations from the Free-Electron Laser for Infrared eXperiments experiment.},
doi = {10.1103/PhysRevE.52.5470},
url = {https://www.osti.gov/biblio/122416}, journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 5,
volume = 52,
place = {United States},
year = {Wed Nov 01 00:00:00 EST 1995},
month = {Wed Nov 01 00:00:00 EST 1995}
}