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Linear stability of Vlasov–Poisson electron plasma in crossed fields. Perturbations propagating parallel to the magnetic field

Published online by Cambridge University Press:  13 March 2009

Hee-Jae Lee ,
D. J. Kaup  and
Gary E. Thomas
Hee-Jae Lee
Affiliation:
Clarkson University, Potsdam, New York 13676, U.S.A.
D. J. Kaup
Affiliation:
Clarkson University, Potsdam, New York 13676, U.S.A.
Gary E. Thomas
Affiliation:
Varian Beverly, Beverly, Massachusetts 01915, U.S.A.
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Abstract

It is shown that electrostatic Vlasov–Poisson perturbations that propagate parallel to the magnetic field in a planar magnetron are stable for both an isotropic and also for a particular anisotropic (Ty = 3Tx) temperature distribution. The inhomogeneity of the electron density is fully incorporated in the analysis. The proof makes use of only the dispersion relation of Trivelpiece–Gould type, without actually solving the eigenvalue equation. These results suggest, not unexpectedly, that these modes should be stable for all such anisotropic velocity distributions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 3 , December 1988 , pp. 535 - 543
Copyright
Copyright © Cambridge University Press 1988

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References

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