Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-26T00:46:43.462Z Has data issue: false hasContentIssue false

Three-wave coupling coefficients for MHD plasmas

Published online by Cambridge University Press:  13 March 2009

G. Brodin
Affiliation:
Department of Plasma Physics, Umeå University, S-90187 Umeå, Sweden
L. Stenflo
Affiliation:
Department of Plasma Physics, Umeå University, S-90187 Umeå, Sweden

Abstract

By reconsidering the general theory for the resonant interaction of three waves in a plasma, we find explicit expressions for the coupling coefficients for three MHD waves. In particular we demonstrate that the interaction between two magnetosonic waves and one Alfvén wave, as well as the interaction between two Alfvén waves and one magnetosonic wave, can be described by very simple formulae for the coupling coefficients.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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

Chin, Y. C. & Wentzel, D. G. 1972 Astrophys. Space Sci. 16, 465.CrossRefGoogle Scholar
Hasegawa, A. & Uberoi, C. 1982 The Alfvén Wave. DOE Critical Review Series, U.S. Dept. of Energy.Google Scholar
Karplyuk, K. S., Oraevskii, V. N. & Pavlenko, V. P. 1972 Plasma Phys. 15, 113.Google Scholar
Larsson, J. & Stenflo, L. 1973 Beitr. Plasmaphys. 13, 169.CrossRefGoogle Scholar
Lashmore-Davies, C. N. & Stenflo, L. 1979 Plasma Phys. 21, 735.CrossRefGoogle Scholar
Sagdeev, R. Z. & Galeev, A. A. 1969 Nonlinear Plasma Theory. Benjamin.Google Scholar
Shukla, P. K., Yu, M. Y., Rahman, H. U. & Spatschek, K. H. 1984 Phys. Rep. 105, 227.Google Scholar
Stenflo, L. & Larsson, J. 1977 Plasma Physics – Nonlinear Theory and Experiments (ed. Wilhelmsson, H.), p. 152. Plenum.CrossRefGoogle Scholar
Weiland, J. & Wilhelmsson, H. 1976 Coherent Nonlinear Interaction of Waves in Plasmas. Pergamon.Google Scholar
Yumoto, K. 1981 J. Plasma Phys. 26, 497.CrossRefGoogle Scholar
Yumoto, K. & Saito, T. 1982 a J. Geophys. Res. 87, 5159.CrossRefGoogle Scholar
Yumoto, K. & Saito, T. 1982 b Planet. Space Sci. 30, 199.CrossRefGoogle Scholar