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Asymptotic approximation for the dispersion relation of a hot magnetized plasma

Published online by Cambridge University Press:  13 March 2009

A. Bravo-Ortega ,
D. G. Swanson  and
A. H. Glasser
A. Bravo-Ortega
Affiliation:
Department of Physics, Auburn University, Auburn, Alabama 36849, USA
D. G. Swanson
Affiliation:
Department of Physics, Auburn University, Auburn, Alabama 36849, USA
A. H. Glasser
Affiliation:
Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545, USA
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Abstract

An asymptotic expression for the dielectric tensor e of a hot magnetized plasma is obtained employing the steepest descents method, via the transformation of the components of ε into their integral representation. The electrostatic Bernstein dispersion relation for oblique and perpendicular propagation is discussed under this treatment. It is shown that with this procedure the computation of the dispersion relation is up to 20 times faster when it is compared with the original expression, and the relative accuracy is usually as good as O·l% for a typical case.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 2 , October 1987 , pp. 275 - 286
Copyright
Copyright © Cambridge University Press 1987

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