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Modulated electromagnetic waves in relativistic plasmas: field and kinetic equations

Published online by Cambridge University Press:  13 March 2009

Maria L. Ekiel-Jeżewska ,
Tor Flå  and
Allan N. Kaufman
Maria L. Ekiel-Jeżewska
Affiliation:
Institute for Theoretical Physics and Institute of Fundamental Technological Research, Polish Academy of Sciences, Świe¸tokrzyska 21, 00-049 Warsaw, Poland, and Lawrence Berkeley Laboratory, University of California, U.S.A.
Tor Flå
Affiliation:
Mathematics/Statistics Division, 1MR, University of Tromsø, N-9000 Tromsø, Norway, and Lawrence Berkeley Laboratory, University of California, U.S.A.
Allan N. Kaufman
Affiliation:
Physics Department and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720, U.S.A.
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Abstract

Modulated electromagnetic plane waves in relativistic collisionless, unmagnetized plasmas are investigated through expansion in a small parameter, corresponding to weak dispersion and weak nonlinearity. The oscillation-centre transformation is applied to construct a Hamiltonian action principle for the slow oscillation-centre variables. A description in terms of the relativistic Vlasov equation for oscillation-centre distribution functions is introduced. A system of coupled field and kinetic eequations is obtained order by order.The final result is a generalized vector nonlineat schrödinger equation, with resonant particle effects included through the coupling to the perturbed Vlasov equations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 53 , Issue 2 , April 1995 , pp. 185 - 212
Copyright
Copyright © Cambridge University Press 1995

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