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Title: Relativistic electron beam acceleration by nonlinear scattering of electromagnetic waves in a magnetized plasma

Abstract

Acceleration and heating of a relativistic electron beam due to nonlinear electron Landau and cyclotron damping of electromagnetic waves in a magnetized plasma are investigated theoretically and numerically on the basis of the relativistic kinetic wave and transport equations derived from the relativistic Vlasov-Maxwell equations. Two electromagnetic waves interact nonlinearly with the relativistic electron beam, satisfying the resonance condition of {omega}{sub k}-{omega}{sub k{sup '}}-(k{sub perpendicular}-k{sub perpendicula=} r{sup '})v{sub d}-(k{sub parallel}-k{sub parallel}{sup '})v{sub b}{approx_equal}m{omega}{sub ce}, where v{sub b} and v{sub d} are the parallel and perpendicular velocities of the relativistic electron beam, respectively, and {omega}{sub ce} is the relativistic electron cyclotron frequency for the electron beam. The beat waves whose frequency is near the frequency of the extraordinary wave are excited by two electromagnetic waves. The beat waves resonate with the relativistic electron beam and accelerate efficiently. Nonlinear electron Landau and cyclotron damping of the electromagnetic waves has been studied by the numerical analysis of the relativistic nonlinear wave-particle coupling coefficients, assuming the relativistic electron beam with the relativistic drifted Maxwellian momentum distribution without the cross-field drift (v{sub d}=0), and it was verified that the highly relativistic electron beam with the energy of {beta}m{sub e}c{sup 2} < or approx. 5 TeVmore » can be accelerated efficiently by the Compton scattering and the beat-wave excited extraordinary waves, where {beta}=(1-v{sub b}{sup 2}/c{sup 2}){sup -1/2}. For comparison, the equations of motion for the beam electrons trapped in the beat wave in the frame of reference moving with v{sub b} are analyzed. The detailed acceleration mechanism was clarified and the qualitative agreement with the numerical results was obtained.« less

Authors:
 [1]
  1. Department of Physics, Faculty of Science, Ehime University, 2-5 Bunkyo-cho, Matsuyama 790-8577 (Japan)
Publication Date:
OSTI Identifier:
21069974
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 15; Journal Issue: 1; Other Information: DOI: 10.1063/1.2825000; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BEAM-PLASMA SYSTEMS; BOLTZMANN-VLASOV EQUATION; COMPARATIVE EVALUATIONS; COMPTON EFFECT; CYCLOTRON FREQUENCY; DAMPING; ELECTROMAGNETIC RADIATION; ELECTRON BEAMS; ELECTRONS; EQUATIONS OF MOTION; MAXWELL EQUATIONS; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; PLASMA ACCELERATION; PLASMA GUNS; RELATIVISTIC PLASMA; RELATIVISTIC RANGE; TEV RANGE; TRANSPORT THEORY

Citation Formats

Sugaya, R. Relativistic electron beam acceleration by nonlinear scattering of electromagnetic waves in a magnetized plasma. United States: N. p., 2008. Web. doi:10.1063/1.2825000.
Sugaya, R. Relativistic electron beam acceleration by nonlinear scattering of electromagnetic waves in a magnetized plasma. United States. doi:10.1063/1.2825000.
Sugaya, R. Tue . "Relativistic electron beam acceleration by nonlinear scattering of electromagnetic waves in a magnetized plasma". United States. doi:10.1063/1.2825000.
@article{osti_21069974,
title = {Relativistic electron beam acceleration by nonlinear scattering of electromagnetic waves in a magnetized plasma},
author = {Sugaya, R},
abstractNote = {Acceleration and heating of a relativistic electron beam due to nonlinear electron Landau and cyclotron damping of electromagnetic waves in a magnetized plasma are investigated theoretically and numerically on the basis of the relativistic kinetic wave and transport equations derived from the relativistic Vlasov-Maxwell equations. Two electromagnetic waves interact nonlinearly with the relativistic electron beam, satisfying the resonance condition of {omega}{sub k}-{omega}{sub k{sup '}}-(k{sub perpendicular}-k{sub perpendicula=} r{sup '})v{sub d}-(k{sub parallel}-k{sub parallel}{sup '})v{sub b}{approx_equal}m{omega}{sub ce}, where v{sub b} and v{sub d} are the parallel and perpendicular velocities of the relativistic electron beam, respectively, and {omega}{sub ce} is the relativistic electron cyclotron frequency for the electron beam. The beat waves whose frequency is near the frequency of the extraordinary wave are excited by two electromagnetic waves. The beat waves resonate with the relativistic electron beam and accelerate efficiently. Nonlinear electron Landau and cyclotron damping of the electromagnetic waves has been studied by the numerical analysis of the relativistic nonlinear wave-particle coupling coefficients, assuming the relativistic electron beam with the relativistic drifted Maxwellian momentum distribution without the cross-field drift (v{sub d}=0), and it was verified that the highly relativistic electron beam with the energy of {beta}m{sub e}c{sup 2} < or approx. 5 TeV can be accelerated efficiently by the Compton scattering and the beat-wave excited extraordinary waves, where {beta}=(1-v{sub b}{sup 2}/c{sup 2}){sup -1/2}. For comparison, the equations of motion for the beam electrons trapped in the beat wave in the frame of reference moving with v{sub b} are analyzed. The detailed acceleration mechanism was clarified and the qualitative agreement with the numerical results was obtained.},
doi = {10.1063/1.2825000},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 1,
volume = 15,
place = {United States},
year = {2008},
month = {1}
}