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Stability of relativistic transverse cold plasma waves. Part 2. Linearly polarized waves

Published online by Cambridge University Press:  13 March 2009

F. J. Romeiras
F. J. Romeiras
Affiliation:
Centro do Electrodinâmica, Instituto Superior Técnico, Lisboa-1, Portugal
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Abstract

This is part 2 of a paper concerned with the stability against small perturbations of a certain class of nonlinear wave solutions of the equations that describe a cold unmagnetized plasma. It refers to transverse linearly polarized waves in an electron-positron plasma. A numerical method, based on Floquet's theory of linear differential equations with periodic coefficients, is used to solve the perturbation equations and obtain the instability growth rates. All the three possible types of perturbations are discussed for a typical value of the (large) amplitude of the nonlinear wave: electrically longitudinal slightly unstable modes (with maximum growth rate γ approximately equal to 0·07ω0, where ω0 is the frequency of the nonlinear wave); purely transverse moderately unstable modes (with γ ≃ 0·26ω0); and highly unstable electrically transverse modes (with γ ≃ l·5ω0).

Type
Research Article
Information
Journal of Plasma Physics , Volume 22 , Issue 2 , October 1979 , pp. 201 - 222
Copyright
Copyright © Cambridge University Press 1979

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