Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-29T13:07:35.664Z Has data issue: false hasContentIssue false

Dispersion of the whistler mode for a velocity distribution with a loss cone

Published online by Cambridge University Press:  13 March 2009

A. C. Das
Affiliation:
Department of Physics, Imperial College, London

Abstract

Considering the general dispersion equation for the whistler mode, the condition of critical stability is discussed and the values of k2 and the field strength for critical stability are determined. The waves grow due to resonance; the stability criterion is studied and the growth rate is also calculated. The results for a special case of simple velocity distribution with a loss cone are obtained and compared with those due to cold dispersion. In the magnetosphere the thermal electrons which can be treated as cold, should be included in the distribution and this is discussed in § 5. Finally, we have established the regions of stable and unstable plasma for the special velocity distribution function and it can be seen how these depend on the size of loss cone.

Type
Articles
Copyright
Copyright © Cambridge University Press 1967

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

Cornwall, J. M. 1965 J. Geophys. Res. 70, 61.CrossRefGoogle Scholar
Noerdlinger, P. D. 1963 Ann. Phys. (N.Y.) 22, 12.CrossRefGoogle Scholar
Penrose, O. 1960 Phys. Fluids 3, 258.CrossRefGoogle Scholar
Stix, T. H. 1962 The theory of plasma waves. New York: McGraw-Hill.Google Scholar
Sudan, R. N. 1963 Phys. Fluids 6, 57.CrossRefGoogle Scholar