Theory of double resonance parametric excitation in plasmas. Part 2

Burton D. Fried, Allen Adler, R Bingham

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3 Citations (Scopus)


Using a simpler formalism than in the original paper on this subject, we verify the earlier result that, for a pump frequency separation Δ approximately equal to twice the ion acoustic frequency Ω, the use of two long-wavelength pumps can reduce the threshold for parametric excitation of ion-acoustic waves when, and only when, the Langmuir wave damping rate γ is much larger than Ω. The threshold is then reduced by a factor of order Ω/Ω, the optimum value of t being Δ2Ω –Γ for equal pump amplitudes, where Γ is the ion-acoustic wave damping rate and Γ « Ω. The analysis presented in a recent paper is shown to be valid only for γ « Ω, where the threshold reduction is quite small, vanishing in the limit of weak ion-acoustic wave damping (Te/Ti » 1).
Original languageEnglish
Pages (from-to)315-340
Number of pages26
JournalJournal of Plasma Physics
Issue number2
Publication statusPublished - Oct 1980


  • ion-acoustic waves
  • frequency
  • plasmas
  • parametric excitation


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