Hostname: page-component-848d4c4894-8bljj Total loading time: 0 Render date: 2024-06-28T17:09:17.878Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aamodt, R. E. 1967 Plasma Phys. 9, 573.CrossRefGoogle Scholar
Bernstein, I. B. 1958 Phys. Rev. 109, 10.CrossRefGoogle Scholar
Fredricks, R. W. 1968 J. Plasma Phys. 2, 197.CrossRefGoogle Scholar
Montgomery, D. C. & Tidman, D. A. 1964 Plasma Kinetic Theory. New York: McGraw- Hill Book Co.Google Scholar
Shkarofsky, I. P. 1966 a Phys. Fluids 9, 561.CrossRefGoogle Scholar
Shkarofsky, I. P. 1966 b Phys. Fluids 9, 570.CrossRefGoogle Scholar
Smith, R. L. & Brice, N. M. 1964 J. Geophys. Res. 69, 5029.CrossRefGoogle Scholar
Stix, T. H. 1962 Theory of Plasma Waves. New York: McGraw-Hill Book Co.Google Scholar
Calvert, W. & Goe, G. B. 1963 J. Geophys. Res. 68, 6113.CrossRefGoogle Scholar
Crawford, F. W. 1965 Radio Science 69, 789.Google Scholar
Crawford, F. W., Harp, R. S. & Mantei, T. D. 1967 J. Geophys. Res. 72, 57.CrossRefGoogle Scholar
Crawford, F. W., Ktno, G. & Weiss, H. 1964 a Standford University Microwave Laboratory Rep., no. 210. Stanford, California, U.S.A.Google Scholar
Crawford, F. W., Kino, G. & Weiss, H. 1964 b Phys. Rev. Letters 13, 229.CrossRefGoogle Scholar
Crawford, F. W. & Weiss, H. 1966 J. Nucl. Energy, Pt. C, 8, 21.CrossRefGoogle Scholar
Dougherty, J. P. & Monaghan, J. J. 1966 Proc. Roy. Soc. Lond. A 289, 214.Google Scholar
Fejer, J. A. & Calvert, W. 1964 J. Geophys. Res. 69, 5049.CrossRefGoogle Scholar
Harp, R. S. 1965 Appl. Phys. Letters 6, 51.CrossRefGoogle Scholar
Nuttall, J. 1964 RCA Victor Research Rep. 7-801-29c, Montreal, Canada.Google Scholar
Sturrock, P. A. 1965 Phys. Fluids 8, 88.CrossRefGoogle Scholar