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Wave properties of an ion-beam system with a strong magnetic field

Published online by Cambridge University Press:  13 March 2009

K. Naidu ,
G. P. Zank  and
J. F. McKenzie
K. Naidu
Affiliation:
Department of Mathematics and Applied Mathematics, University of Natal, King George V Avenue, Durban 4001, South Africa
G. P. Zank
Affiliation:
Max-Planck-Institut für Aeronomie, Postfach 20, D-3411 Katlenburg-Lindau, Federal Republic of Germany
J. F. McKenzie
Affiliation:
Max-Planck-Institut für Aeronomie, Postfach 20, D-3411 Katlenburg-Lindau, Federal Republic of Germany
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Abstract

This paper develops a theoretical framework for the description and classification of small-amplitude waves with frequencies much less than the ion gyrofrequency, propagating in an ion-beam plasma system. In this respect, the results extend to the strongly magnetized regime the results obtained previously by Zank and McKenzie and applied by Greaves et al. to study wave propagation in such a system for frequencies in excess of the ion gyrofrequency but less than the electron plasma frequency. For completeness, the full wave equation governing an ion-beam plasma system for any strength of applied magnetic field is derived. In specializing to the strong-magnetic-field limit, we find that the class of refractive-index topologies (which characterize the kinematic properties of wave propagation) is less rich than in the un-magnetized case. After investigating the topology of the refractive-index surface and the phase-, ray- and group-velocity surfaces, we construct a CMA diagram appropriate to the strongly magnetized ion-beam plasma system. The temporal stability and spatial amplification of the slow ion-acoustic mode for frequencies less than the stationary ion plasma frequency is investigated. We show that a strong magnetic field normal to the drift direction of the ion beam stabilizes long-wavelength modes that would be unstable in the unmagnetized case.

Type
Research Article
Information
Journal of Plasma Physics , Volume 43 , Issue 3 , June 1990 , pp. 385 - 396
Copyright
Copyright © Cambridge University Press 1990

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References

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