Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-23T22:06:06.034Z Has data issue: false hasContentIssue false

The magnetoplasma dispersion function: some mathematical properties

Published online by Cambridge University Press:  13 March 2009

J. P. M. Schmitt
Affiliation:
Equipe de Recherche associée au C.N.R.S., Laboratoire do Physique des Milieux Ionisés, Ecole Polytechnique, Paris

Abstract

The magnetoplasma dispersion function is defined as

It is found in all the dispersion relations for wave propagation perpendicular to the magnetic field in hot plasmas. We review the properties of fω(z), and present several new expansions, which may be of interest in the study of properties of waves in plasmas, or may suggest computational methods for calculating fω(z).

Type
Research Article
Copyright
Copyright © Cambridge University Press 1974

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

Abramovitz, M. & Stegun, I. A. (ed.) 1965 Handbook of Mathematical Functions. Dover.Google Scholar
Baldwin, D. E. & Rowlands, G. 1966 Phys. Fluids, 9 2444.CrossRefGoogle Scholar
Bernstein, I. B. 1958 Phys. Rev. 109, 10.CrossRefGoogle Scholar
Buckley, R. 1970 Plasma waves in Space and the Laboratory, vol. 2, p. 91. Edinburgh University Press.Google Scholar
Canobbio, E. & Crocci, R. 1966 Phys. Fluids, 9, 549.CrossRefGoogle Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas. Addison-Wesley.Google Scholar
Fredricks, R. W. 1968 J. Plasma Phys. 2, 197.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. Academic.Google Scholar
Gordeyev, G. V. 1952 Soviet Phys. JETP, 6, 660.Google Scholar
Stix, T. H. 1962 Theory of Plasma Waves. MacGraw-Hill.Google Scholar
Watson, G. N. 1966 A Treatise on the Theory of Bessel Functions. Cambridge University Press.Google Scholar