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Approximation of the dielectric properties of Maxwellian plasmas: dispersion functions and physical constraints

Published online by Cambridge University Press:  13 March 2009

P. A. Robinson
Affiliation:
Department of Astrophysical, Planetary and Atmospheric Sciences, Campus Box 391, University of Colorado at Boulder, Boulder, Colorado 80309–0391, U.S.A.
D. L. Newman
Affiliation:
Department of Astrophysical, Planetary and Atmospheric Sciences, Campus Box 391, University of Colorado at Boulder, Boulder, Colorado 80309–0391, U.S.A.

Abstract

The dielectric properties of Maxwellian plasmas are approximated using both Padé approximants to the dispersion function and direct approximation of the distribution. Physical constraints on permissible approximations are discussed, and it is found that some previously published results can lead to predictions of qualitatively incorrect wave properties, including unphysical negative damping. Approximate dispersion functions for Maxwellian distributions are given explicitly, and some of the effects of these approximations on the resulting dispersion are discussed. The approximations discussed here are of use both in analytic work and in accelerating large-scale numerical computations.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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References

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