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Title: Relativistic electron beam acceleration by nonlinear Landau damping of electrostatic waves in a magnetized plasma

Abstract

Acceleration and heating of a relativistic electron beam due to nonlinear electron Landau and cyclotron damping of electrostatic 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 electrostatic waves interact nonlinearly with the relativistic electron beam satisfying the resonance condition for nonlinear electron Landau and cyclotron damping 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. The beat waves produced by two electrostatic waves resonate with the relativistic electron beam. The relativistic transport equations using the relativistic drifted Maxwellian momentum distribution function of the relativistic electron beam were derived and analyzed. They show obviously its acceleration and heating (deceleration or cooling). Nonlinear electron Landau damping of the two lower-hybrid waves has been studied by the numerical analysis of relativistic nonlinear wave-particle coupling coefficients and it was clarified that the highly relativistic electron beam can be accelerated efficiently via the Compton scattering due to nonlinear electron Landau damping ofmore » the lower-hybrid waves.« less

Authors:
 [1]
  1. Department of Physics, Faculty of Science, Ehime University, 2-5 Bunkyo-cho, Matsuyama 790-8577 (Japan)
Publication Date:
OSTI Identifier:
20643941
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 11; Journal Issue: 12; Other Information: DOI: 10.1063/1.1812537; (c) 2004 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; ELECTRON BEAMS; LANDAU DAMPING; LOWER HYBRID HEATING; NONLINEAR PROBLEMS; PLASMA WAVES; RELATIVISTIC PLASMA; TRANSPORT THEORY

Citation Formats

Sugaya, R. Relativistic electron beam acceleration by nonlinear Landau damping of electrostatic waves in a magnetized plasma. United States: N. p., 2004. Web. doi:10.1063/1.1812537.
Sugaya, R. Relativistic electron beam acceleration by nonlinear Landau damping of electrostatic waves in a magnetized plasma. United States. doi:10.1063/1.1812537.
Sugaya, R. Wed . "Relativistic electron beam acceleration by nonlinear Landau damping of electrostatic waves in a magnetized plasma". United States. doi:10.1063/1.1812537.
@article{osti_20643941,
title = {Relativistic electron beam acceleration by nonlinear Landau damping of electrostatic 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 electrostatic 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 electrostatic waves interact nonlinearly with the relativistic electron beam satisfying the resonance condition for nonlinear electron Landau and cyclotron damping 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. The beat waves produced by two electrostatic waves resonate with the relativistic electron beam. The relativistic transport equations using the relativistic drifted Maxwellian momentum distribution function of the relativistic electron beam were derived and analyzed. They show obviously its acceleration and heating (deceleration or cooling). Nonlinear electron Landau damping of the two lower-hybrid waves has been studied by the numerical analysis of relativistic nonlinear wave-particle coupling coefficients and it was clarified that the highly relativistic electron beam can be accelerated efficiently via the Compton scattering due to nonlinear electron Landau damping of the lower-hybrid waves.},
doi = {10.1063/1.1812537},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 12,
volume = 11,
place = {United States},
year = {2004},
month = {12}
}