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Penetration to second order of an electrostatic field into a warm plasma

Published online by Cambridge University Press:  13 March 2009

E. M. Zawadzki  and
G. J. Lewak
E. M. Zawadzki
Affiliation:
Department of Applied Physics and Information Science
G. J. Lewak
Affiliation:
Department of Applied Physics and Information Science
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Abstract

Using a reformulation of ordinary perturbation theory to first and second order, explicit solutions for the penetration of electrostatic waves into a semi-infinite Vlasov plasma are presented. Two types of electron velocity distribution are used, the uniform step (‘water-bag’ model) and the Maxwellian. The existence of propagating modes below the plasma frequency, behaviour of the second harmonic field and the formation of a narrow sheet of electrons near the bounding wall are displayed. Replacement of boundary fields with equivalent charge and current sources is discussed.

Type
Articles
Information
Journal of Plasma Physics , Volume 5 , Issue 1 , January 1971 , pp. 73 - 87
Copyright
Copyright © Cambridge University Press 1971

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References

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