
Accession Number : ADA136224
Title : Relativistic Broadening Near Cyclotron Resonance.
Descriptive Note : Technical rept.,
Corporate Author : NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
Personal Author(s) : Imre,K ; Weitzner,H
PDF Url : ADA136224
Report Date : Oct 1983
Pagination or Media Count : 45
Abstract : Relativistic broadening of absorption (or emission) lines near cyclotron resonance in a warm plasma is investigated using the linearized relativistic VlasovMaxwell system. The unperturbed state is assumed to be isotropic, but not necessarily Maxwellian. The expansion parameter is eta = v sub e/c, v sub e being the electron thermal speed. It is assumed that the wave frequency, plasma frequency, and cyclotron frequency are all comparable in magnitude, and the refractive index n = 0(1). The parameter alpha = eta/n is of arbitrary order, thus the results are uniformly valid for all values of oblique propagation angles, although the relativistic effects are negligible for alpha 1. The dielectric tensor is reordered, and the dispersion relation appropriate for this problem is derived to the lowest significant order in eta. The results are expressed in terms of the readily calculable (generalized) plasma dispersion function Z. In the Maxwellian case the results are alegbraic in Z, and unlike the previously published results, they do not involve infinite integrals or series imposed on Z, thus leading to simple and efficient evaluations. The case of perpendicular propagation is obtained by taking the large alpha limit. Some inconsistencies in the literature dealing with the extraordinary mode are resolved. (Author)
Descriptors : *Cyclotron resonance, *Plasmas(Physics), *Relativity theory, Absorption spectra, Emission spectra, Dispersion relations, Line spectra, Isotropism, Dielectrics, Tensors, Maxwells equations, Refractive index, Harmonic analysis
Subject Categories : Theoretical Mathematics
Particle Accelerators
Plasma Physics and Magnetohydrodynamics
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE