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Title: Multimode nonlinear analysis of free-electron laser amplifiers in three dimensions

Abstract

The nonlinear evolution of a free-electron laser (FEL) amplifier is investigated for a configuration in which an electron beam propagates through an overmoded rectangular waveguide in the presence of a planar wiggler with parabolically tapered pole pieces. The analysis is fully three dimensional and describes the evolution of an arbitrary number of resonant TE and/or TM modes of the rectangular guide as well as the trajectories of an ensemble of electrons. Numerical simulations are conducted for parameters consistent with the 35-GHz amplifier experiment performed by Orzechowski and co-workers (Phys. Rev. Lett. 54, 889 (1985); 57, 2172 (1986)), in which the TE/sub 01/, TE/sub 21/, and TM/sub 21/ modes were observed. The theory is found to be in good agreement with the experiment. Surprisingly, comparison with a single-mode analysis shows that the enhancement of the efficiency of the TE/sub 01/ mode obtained by means of a tapered wiggler is significantly greater (as well as being in substantial agreement with the experiment) when the TE/sub 21/ and TM/sub 21/ modes are included in the simulation.

Authors:
Publication Date:
Research Org.:
Science Applications International Corporation, McLean, Virginia 22102
OSTI Identifier:
5276254
Resource Type:
Journal Article
Journal Name:
Phys. Rev. A; (United States)
Additional Journal Information:
Journal Volume: 37:9
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; FREE ELECTRON LASERS; AMPLIFIERS; LASER CAVITIES; MODE SELECTION; NONLINEAR OPTICS; PARAMETRIC ANALYSIS; SIMULATION; WAVEGUIDES; WIGGLER MAGNETS; ELECTRICAL EQUIPMENT; ELECTROMAGNETS; ELECTRONIC EQUIPMENT; EQUIPMENT; LASERS; MAGNETS; OPTICS; 420300* - Engineering- Lasers- (-1989)

Citation Formats

Freund, H P. Multimode nonlinear analysis of free-electron laser amplifiers in three dimensions. United States: N. p., 1988. Web. doi:10.1103/PhysRevA.37.3371.
Freund, H P. Multimode nonlinear analysis of free-electron laser amplifiers in three dimensions. United States. https://doi.org/10.1103/PhysRevA.37.3371
Freund, H P. 1988. "Multimode nonlinear analysis of free-electron laser amplifiers in three dimensions". United States. https://doi.org/10.1103/PhysRevA.37.3371.
@article{osti_5276254,
title = {Multimode nonlinear analysis of free-electron laser amplifiers in three dimensions},
author = {Freund, H P},
abstractNote = {The nonlinear evolution of a free-electron laser (FEL) amplifier is investigated for a configuration in which an electron beam propagates through an overmoded rectangular waveguide in the presence of a planar wiggler with parabolically tapered pole pieces. The analysis is fully three dimensional and describes the evolution of an arbitrary number of resonant TE and/or TM modes of the rectangular guide as well as the trajectories of an ensemble of electrons. Numerical simulations are conducted for parameters consistent with the 35-GHz amplifier experiment performed by Orzechowski and co-workers (Phys. Rev. Lett. 54, 889 (1985); 57, 2172 (1986)), in which the TE/sub 01/, TE/sub 21/, and TM/sub 21/ modes were observed. The theory is found to be in good agreement with the experiment. Surprisingly, comparison with a single-mode analysis shows that the enhancement of the efficiency of the TE/sub 01/ mode obtained by means of a tapered wiggler is significantly greater (as well as being in substantial agreement with the experiment) when the TE/sub 21/ and TM/sub 21/ modes are included in the simulation.},
doi = {10.1103/PhysRevA.37.3371},
url = {https://www.osti.gov/biblio/5276254}, journal = {Phys. Rev. A; (United States)},
number = ,
volume = 37:9,
place = {United States},
year = {Sun May 01 00:00:00 EDT 1988},
month = {Sun May 01 00:00:00 EDT 1988}
}