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A thermal instability in the non-relativistic planar magnetron

Published online by Cambridge University Press:  13 March 2009

S. N. Antani ,
D. J. Kaup  and
G. E. Thomas
S. N. Antani
Affiliation:
Department of Physics, Clarkson University, Potsdam, New York 13676, U.S.A.
D. J. Kaup
Affiliation:
Department of Physics, Clarkson University, Potsdam, New York 13676, U.S.A.
G. E. Thomas
Affiliation:
Varian Associates, Beverly, Massachusetts 01915, U.S.A.
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Abstract

It is well known that an anisotropic temperature distribution gives rise to thermal instability in many Systems. In their numerical simulations of a two-vane, non-relativistic planar magnetron, Thomas et al. reported a temperature anisotropy and a concomitant formation and growth of a swirling electron cloud bunch (convective cell). In this paper we present an analytic calculation of the shift in the eigenfrequencies by treating the thermal effects as a perturbation, while taking due account of the temperature anisotropy. We find the magnitude of the resulting rate to be of the order of that seen in the simulations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 44 , Issue 3 , December 1990 , pp. 517 - 524
Copyright
Copyright © Cambridge University Press 1990

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References

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