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Theory of a parametric instability excited by two pump waves

Published online by Cambridge University Press:  13 March 2009

J. A. Fejer
Affiliation:
Max-Planck-Institut für Aeronomie, 3411 Katlenburg-Lindau 3, Federal Republic of Germany
B. L Cragin
Affiliation:
Max-Planck-Institut für Aeronomie, 3411 Katlenburg-Lindau 3, Federal Republic of Germany
R. L. Showen
Affiliation:
Max-Planck-Institut für Aeronomie, 3411 Katlenburg-Lindau 3, Federal Republic of Germany

Abstract

The threshold of a parametric instability in which the frequency of the excited Langmuir waves is exactly the arithmetic mean of two pump frequencies, is calculated. The kinetic equation is used to describe the ion dynamics. The threshold is infinitely high when the difference between the two pump frequencies is exactly double the frequency of ion-acoustic waves if pump waves of equal intensity are assumed. For very large values of Te/Ti the threshold reaches its lowest values when the difference frequency is slightly more or slightly less than twice the resonant frequency of the ion-acoustic waves.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1978

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References

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