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Theory of double resonance parametric excitation in plasmas. Part 2

Published online by Cambridge University Press:  13 March 2009

Burton D. Fried ,
Allen Adler  and
Robert Bingham
Burton D. Fried
Affiliation:
Department of Physics, University of California, Los Angeles
Allen Adler
Affiliation:
Department of Physics, University of California, Los Angeles
Robert Bingham
Affiliation:
Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Federal de Lausanne
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Abstract

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 ▵ 2Ω –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).

Type
Research Article
Information
Journal of Plasma Physics , Volume 24 , Issue 2 , October 1980 , pp. 315 - 340
Copyright
Copyright © Cambridge University Press 1980

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References

REFERENCES

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