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Stability of strong electromagnetic waves in overdense plasmas

Published online by Cambridge University Press:  13 March 2009

F. J. Romeiras
F. J. Romeiras
Affiliation:
Centro de Electrodinâmica, Instituto Superior Técnico, 1096 Lisboa Codex, Portugal
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Extract

We consider the stability against small perturbations of a class of exact wave solutions of the equations that describe an unmagnetized relativistic cold electron plasma. The main feature of these nonlinear waves is a transverse circularly polarized electric field with periodic amplitude modulation in the longitudinal direction. Floquet's theory of linear differential equations with periodic coefficients is used to solve the perturbation equations and obtain the instability growth rates.

Type
Articles
Information
Journal of Plasma Physics , Volume 27 , Issue 2 , April 1982 , pp. 239 - 259
Copyright
Copyright © Cambridge University Press 1982

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References

REFERENCES

Akhiezer, A. I. & Polovin, R. V. 1956 Soviet Phys. JETP, 3, 696.Google Scholar
Clemmow, P. C. 1974 J. Plasma Phys. 12, 297.CrossRefGoogle Scholar
Decoster, A. 1978 Phys. Reports, 47, 285.CrossRefGoogle Scholar
Eastham, M. S. P. 1973 The spectral theory of periodic differential equateons. Scottish Academic Press.Google Scholar
Felber, F. S. & Marburger, J. H. 1976 Phys. Rev. Lett. 36, 1176.CrossRefGoogle Scholar
Grant, J. A. & Hitchins, G. D. 1971 J. Inst. Maths. Applics. 8, 122.CrossRefGoogle Scholar
Infeld, E. & Rowlands, G. 1975 J. Plasma Phys. 13, 173.CrossRefGoogle Scholar
Lai, C. S. 1976 Phys. Rev. Lett. 16, 966.CrossRefGoogle Scholar
Lee, M. A. & Lerche, I. 1978 J. Plasma Phys. 20, 313.CrossRefGoogle Scholar
Lee, M. A. & Lerche, I. 1979 a J. Plasma Phys. 21, 27.CrossRefGoogle Scholar
Lee, M. A. & Lerche, I. 1979 b J. Plasma Phys. 21, 43.CrossRefGoogle Scholar
Marburger, J. H. & Tooper, R. F. 1975 Phys. Rev. Lett. 35, 1001.CrossRefGoogle Scholar
Max, C. E. 1973 Phys. Fluids, 16, 1480.CrossRefGoogle Scholar
Romeiras, F. J. 1977 Ph.D. thesis, University of Cambridge.Google Scholar
Romeiras, F. J. 1978 J. Plasma Phys. 20, 479.CrossRefGoogle Scholar
Romeiras, F. J. 1979 J. Plasma Phys. 22, 201.CrossRefGoogle Scholar
Rowlands, G. 1974 J. Inst. Maths. Applics. 13, 367.CrossRefGoogle Scholar
Sweeney, G. S. S. & Stewart, P. 1975 Astron. & Astrophys. 41, 431.Google Scholar