Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T19:04:31.711Z Has data issue: false hasContentIssue false

Nonlinear decay of a propagating lower-hybrid wave in a plasma

Published online by Cambridge University Press:  13 March 2009

P. K. Shukla
Affiliation:
Institut für Theroretische Physik, Ruthr-Universität Bochum, 4630 Bochum, F. R. Germany
M. A. Mamedow
Affiliation:
Institut für Theroretische Physik, Ruthr-Universität Bochum, 4630 Bochum, F. R. Germany

Abstract

This paper studies the nonlinear coupling between a large amplitude propagating lower-hybrid wave and two electromagnetic waves in a plasma. Using a two-fluid model and Vlasov and Maxwell's equations, we derive a dispersion relation governing this three-wave interaction process. It is shown that a finite wavenumber lower-hybrid pump can decay into a whistler and a kinetic Alfvén wave. Calculations of the threshold condition suggest that this decay process may occur both in the laboratory and in the ionosphere.

Type
Research Article
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., Silin, V. P. & Watson, C. 1966 Soviet Phys. JETP,28, 626.Google Scholar
Beghin, C. & Debrie, R. 1972 J. Plasma Phys. 8, 287.Google Scholar
Beghin, C. & Hamelin, M. 1976 J. Plasma Phys. 15, 115.Google Scholar
Berger, R. L. & Chen, L. 1976 Phys. Fluids, 19, 1392.Google Scholar
Chen, L. 1977 Plasma Phys. 19, 47.CrossRefGoogle Scholar
Gurevich, A. V., Krylov, A. L. & Tsedilina, E. E. 1976 Space Sci. Rev. 19, 59.Google Scholar
Gurnett, D. A. & Frank, L. A. 1977 J. Geophys. Res. 82, 1031.Google Scholar
Hasegawa, A. 1974 US-Japan Seminar, KyotoGoogle Scholar
Hasegawa, A. & Chen, L. 1976 Phys. Fluids, 19, 1924.Google Scholar
Hung, N. T. 1975 J. Plasma Phys. 14, 347.Google Scholar
Ionson, J. A. & Ong, R. S. B. 1976 Phys. Lett. 58A, 393.Google Scholar
Kadomtsev, B. B. 1965 Plasma turbulence. Academic.Google Scholar
Morgan, M. G. 1976 J. Geophys. Res. 81, 3977.Google Scholar
Ott, B. 1975 Phys. Fluids, 18, 566.Google Scholar
Shukla, P. K., Yu, M. Y. & Spatschek, K. H. 1975 Phys. Fluids, 18, 265.Google Scholar
Tripathi, V. K., Grebogi, C. & Liu, C. S. 1977 Preprint No. 701 P001, University of Maryland.Google Scholar