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Effect of finite spectral width on the modulational instability of Langmuir waves

Published online by Cambridge University Press:  13 March 2009

J. C. Bhakta  and
D. Majumder
J. C. Bhakta
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92 A. P. C. Road, Calcutta-700009, India
D. Majumder
Affiliation:
Department of Physics, Nara Sinha Dutt College, Howrah, India
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Abstract

The effect of finite spectral width on the modulational instability of Langmuir waves has been investigated applying a method developed by Alber to derive a transport equation for the spectral density. The numerical results presented show that the spectrum is stable against modulational perturbation when the spectral width exceeds some critical value. For a Gaussian spectrum, the maximum growth rate is less than that for a monochromatic wave but the domain of modulational instability is extended. For a uniform distribution the shift in the growth rate curve towards the region of shorter wavelength is more pronounced and, for a certain range of spectral width, the maximum growth rate exceeds that for a monochromatic wave.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 2 , October 1983 , pp. 203 - 209
Copyright
Copyright © Cambridge University Press 1983

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References

REFERENCES

Alber, I. E. 1978 Proc. Roy. Soc. A 363, 525.Google Scholar
Breizman, B. N. & Malkin, V. M. 1980 Soviet Phys. JETP, 52, 435.Google Scholar
Dysthe, K. B. & Das, K. P. 1981 J. Fluid Mech. 104, 483.CrossRefGoogle Scholar
Faddeyeva, V. N. & Terent'Ev, N. M. 1961 Tables of Values of the Function w(z) = for Complex Argument.Pergamon.Google Scholar
Komilov, K., Khakimov, F. Kh. & Tsytovich, V. N. 1979 Fiz. Plasmy, 5, 35.Google Scholar
Malkin, V. M. 1982 Fiz Plasmy, 8, 357.Google Scholar
Thornhill, S. G. & Ter Haar, D. 1978 Phys. Rep. 43, 43.CrossRefGoogle Scholar