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Structure of generalized ion Bernstein modes from the full electromagnetic dispersion relation

Published online by Cambridge University Press:  13 March 2009

R. W. Fredricks
R. W. Fredricks
Affiliation:
Space Sciences Laboratory, TRW Systems, One Space Park, Redondo Beach, California 90278, U.S.A.
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Abstract

The structure of modes for which k┴B0 and ω≪Ω_ (ion waves) has been studied qualitatively in the two limits κR+ ≪ 1 and κR+ ≫ 1, where R+ = (κT+/MΩ+)½ is the mean thermal Larmor radius, without the usual electrostatic approximation. Asymptotic forms of the dielectric tensor elements εij are developed in these two limits. The modes having appreciable k × E can be called ‘generalized’ Bernstein modes. The approximation which yields the familar electrostatic Bernstein modes is εxx = 0. This approximation is shown to be valid only for large κR+ and low β. However, for small and moderate values of κR+ the generalized Bernstein modes partake of a ‘mixed’ electromagnetic- electrostatic character. In particular, for κR+ ≲ 0(1) (but ω/κ < c) the electrostatic Bernstein modes are incorrect approximations. The warm plasma electromagnetic theory is discussed with reference to cold plasma theory for a low β plasma, and it is shown that: (1) the lower hybrid frequency is only an approximate resonance in the warm plasma; (2) electromagnetic cut-offs occur at all harmonics of the gyrofrequency as k → 0; (3) electrostatic resonances occur at all harmonics of the gyrofrequency as k→∞; (4) propagation can occur in warm plasmas at frequencies above the lower hybrid.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 3 , August 1968 , pp. 365 - 380
Copyright
Copyright © Cambridge University Press 1968

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