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Title: Influence of finite radial geometry on the growth rate of ion-channel free electron laser

The influence of finite radial geometry on the instability of a tenuous relativistic electron beam propagating in an ion-channel in a waveguide is investigated. The instability analysis is based on the linearized Vlasov-Maxwell equations for the perturbation about a self-consistent beam equilibrium. With the help of characteristic method the dispersion relation for the TE-mode is derived and analyzed through the numerical solutions. It is found that the positioning of the beam radius R{sub b} relative to the waveguide radius R{sub c}, and the ion-channel frequency can have a large influence on the maximum growth rate and corresponding wave number.
Authors:
;  [1] ;  [2]
  1. Department of Physics, K.N. Toosi University of Technology, Tehran 15875-4416 (Iran, Islamic Republic of)
  2. Department of Physics and Institute for Plasma Research, Kharazmi University, 49 Dr. Mofateh Avenue, Tehran 15614 (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22218451
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN-VLASOV EQUATION; DISPERSION RELATIONS; DISTURBANCES; ELECTRON BEAMS; FREE ELECTRON LASERS; MAXWELL EQUATIONS; NUMERICAL ANALYSIS; NUMERICAL SOLUTION; RELATIVISTIC RANGE; WAVEGUIDES