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New representations of dielectric tensor elements in magnetized plasma

Published online by Cambridge University Press:  13 March 2009

I. P. Shkarofsky
I. P. Shkarofsky
Affiliation:
MPB Technologies Inc., Dorval, Quebec, Canada
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Abstract

Each of the dielectric tensor elements in a Maxwellian magnetoplasma is expressed in terms of various derivatives of a single functional expression. The relationships for all the elements are given, first for the general case of a relativistic plasma, then for the slightly relativistic case, and finally for the non-relativistic case, when the perpendicular wavenumber is either large or small. We also derive new relations useful for the computation of the slightly relativistic plasma dispersion function.

Type
Research Article
Information
Journal of Plasma Physics , Volume 35 , Issue 2 , April 1986 , pp. 319 - 331
Copyright
Copyright © Cambridge University Press 1986

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References

REFERENCES

Bornatici, M., Cano, R., De Barbieri, O. & Engelmann, F., 1983 Nucl. Fusion, 23, 1153.CrossRefGoogle Scholar
Brambilla, M. 1976 Plasma Phys. 18, 669.Google Scholar
Fuchs, V., Bers, A. & Harten, L. 1985 Phys. Fluids, 28, 177.CrossRefGoogle Scholar
Krivenski, V. & Orefice, A. 1983 J. Plasma Phys. 30, 125.CrossRefGoogle Scholar
Ryshik, I. M. & Gradstein, I. S. 1957 Tables of Series, Products and Integrals. VEB Deutscher Verlag der Wissenschaften.Google Scholar
Schmitt, J. P. M. 1974 J. Plasma Phys. 12, 51.Google Scholar
Shkarofsky, I. P. 1966 Phys. Fluids, 9, 561.CrossRefGoogle Scholar
Trubnikov, B. A. 1959 Plasma Physics and the Problem of Controlled Thermonuclea Reactions (ed. Leontovich, M. A.). Pergamon.Google Scholar