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Nonlinear propagation of electromagnetic waves in a plasma containing random irregularities

Published online by Cambridge University Press:  13 March 2009

C. H. Liu
C. H. Liu
Affiliation:
University of Illinois at Urbana-Champaign
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Abstract

The problem of propagation of finite-amplitude electromagnetic waves in a plasma containing random irregularities is studied. Using a recently developed perturbation technique, a general equation for finite amplitude coherent waves is derived. Included in this equation are both the effects of quasi-harmonic nonlinear heating of electrons and random scattering by irregularities. The equation is solved in general by the equivalent linearization procedure. The amplitude of the coherent wave is found to be attenuated by collision and scattering. Both attenuation are affected by the nonlinear heating of the electrons. Curves showing the results for a specific example will be presented.

Type
Research Article
Information
Journal of Plasma Physics , Volume 9 , Issue 3 , June 1973 , pp. 443 - 452
Copyright
Copyright © Cambridge University Press 1973

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References

REFERENCES

Bogoliubov, N. N. & Mitropolsky, Y. A. 1961 Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach.Google Scholar
Bourret, R. C. 1962 Nuovo Cimento, 26, 1.CrossRefGoogle Scholar
Collin, R. E. 1969 Radio Sci. 4, 279.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. Academic.Google Scholar
Frisch, U. 1968 Wave Propagation in Random Media, Probabilistic Methods in Applied Mathematics (ed. Bharucha-Reid, O.), p. 75. Academic.Google Scholar
Ginzburg, V. L. & Gurevich, A. V. 1960 Soviet Phys. Usp. 3, 175.CrossRefGoogle Scholar
Howe, M. S. 1971 J. Fluid Mech. 45, 769.CrossRefGoogle Scholar
Keller, J. B. 1964 Proc. 14th Symp. Appl. Math. AMS, p. 145.Google Scholar
Liu, C. H. 1967 J. Math. Phys. 8, 2236.CrossRefGoogle Scholar
Utlaut, W. F. 1970 J. Geophys. Res. 75, 6402.CrossRefGoogle Scholar
Youakim, M. & Liu, C. H. 1970 Radio Sci. 5, 757.CrossRefGoogle Scholar