Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T02:02:26.293Z Has data issue: false hasContentIssue false
  • English
  • Français

Theory of a parametric instability excited by two pump waves

Published online by Cambridge University Press:  13 March 2009

J. A. Fejer ,
B. L Cragin  and
R. L. Showen
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
Get access Rights & Permissions [Opens in a new window]

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
Information
Journal of Plasma Physics , Volume 19 , Issue 3 , June 1978 , pp. 355 - 362
Copyright
Copyright © Cambridge University Press 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aliev, Y. M., Gradov, O. M. & Sünder, D. 1975 Beitr. Plasma Phys. 15, 345.CrossRefGoogle Scholar
Arnush, D., Nishikawa, K., Fried, B. D., Kennel, C. F. & Wong, A. Y. 1973 Phys. Fluids, 16, 2270.CrossRefGoogle Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas, p. 287. Addison-Wesley.Google Scholar
Fejer, J. A. & Leer, E. 1972 a J. Geophys. Res. 77, 700.CrossRefGoogle Scholar
Fejer, J. A. & Leer, E. 1972 b Radio Sci. 7, 481.CrossRefGoogle Scholar
Kuo, Y. Y. & Fejer, J. A. 1972 Phys. Rev. Lett. 29, 1667.CrossRefGoogle Scholar