Abstract

A three-dimensional parametric decay is theoretically investigated of a Langmuir wave with a given finite wavenumber K into another Langmuir wave and a longitudinal low frequency wave. In this paper we study such an extreme case as y +γ, ω i K λ e ≪ω e K 2 λ e 2 , where y is the growth rate of the excited waves, γ the damping rate of the excited Langmuir wave, ω e the electron plasma frequency, ω i the ion plasma frequency and λ e the electron Debye length, respectively. To this end, a model equation describing the parametric coupling of nearly free resonance type is studied under less restrictive condition than the usual theory. It is shown that the Langmuir wave with almost the same wavenumber is excited most easily and propagates in the opposite direction to that of the pump wave.

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