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A boundary problem in a plasma

Published online by Cambridge University Press:  13 March 2009

V. B. Karunarathne
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge

Abstract

An isotropic Vlasov plasma occupies an infinite space, the upper half of which (y > 0) is a dielectric. A transverse disturbance is incident normally on the face of the dielectric. The waves that are excited in each half of the space are obtained. It is shown that this result can be extended to cover the refiexion problem of any normally incident disturbance in a plasma defined by a dispersion relation Di(w, k). A few examples are considered; in particular transverse waves in a plasma streaming normal to the boundary where Čerenkov instability can occur.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1970

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