Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-29T13:00:03.345Z Has data issue: false hasContentIssue false

Cyclotron harmonic wave propagation and instabilities: II. Oblique propagation

Published online by Cambridge University Press:  13 March 2009

J. A. Tataronis
Affiliation:
Institute for Plasma Research, Stanford University Stanford, California
F. W. Crawford
Affiliation:
Institute for Plasma Research, Stanford University Stanford, California

Abstract

Part I of this paper has discussed longitudinal wave propagation, perpendicular to the static magnetic field, in a warm homogeneous magnetoplasma. Part II extends the work to oblique propagation. The ring and Maxwellian transverse velocity distributions, which are absolutely unstable and stable, respectively, for perpendicular propagation, are shown here to be both absolutely unstable for oblique propagation. Their instabilities are radically affected by the introduction of axial velocity spread. A detailed study is made for the cases of a Maxwellian transverse distribution with resonance and resonance-squared axial velocity distributions. It is shown that abolute instabilities occur at high energy anisotropies. These become convectively unstable as teh anistropy is reduced, and are quenched as isotropy is approached. The isotropic Maxwellian is treated in detail, and shows both cyclotron and Landau collisionless damping.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1970

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

Bernstein, I. B. 1958 Phys. Rev. 109, 10.Google Scholar
Crawford, F. W. 1968 Paper in A Survey of Phenomena in Ionized Gases. Vienna: IAEA.Google Scholar
Derfler, H. 1967 Phys. Letters 24 A, 763.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. New York: Academic Press.Google Scholar
Tataronis, J. A. & Crawford, F. W. 1970 J. Plasma Phys. 4, 231.Google Scholar