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Surface waves at a vacuum—plasma interface

Published online by Cambridge University Press:  13 March 2009

P. C. Clemmow  and
J. Elgin
P. C. Clemmow
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
J. Elgin
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

It is emphasized that the dispersion relation for surface waves at a vacuum—plasma interface can be obtained by setting the reflexion coefficient to zero The relations for warm, collisional and hot, collisionless plasmas are derived in this way, and shown to be inagreement with previous results. The former relation is expressed explicitly as a cubic equation for y = 2c2k12/ω2p, as a function of x = 2ω2/ω2p − 1, where k1 is thecomponent of the wave vector along the interface, a is the frequency and w the plasma frequency; and the nature of the three branches of the y(x) curve is analyzed in detail. The rotation of the vacuum wave vector as the frequency runs from 0 to ∞ is displayed, and it is established that one and only one branch corresponds, in the collisionlesscase, to pure surface waves.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 12 , Issue 1 , August 1974 , pp. 91 - 106
Copyright
Copyright © Cambridge University Press 1974

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References

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