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Nonlinear effects of two modified ordinary monochromatic waves

Published online by Cambridge University Press:  13 March 2009

A. A. Selim
A. A. Selim
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University
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Abstract

Quantum field theory is used to investigate the nonlinear effects of two modified ordinary monochromatic waves propagating across a uniform magnetic field. Amplitude-dependent wavelength and frequency shifts are derived. Unlike previous work that employs the Krylov–Bogoliubov–Mitropolskii method, the investigation uses the diagrammatic technique of field theory. The calculations show that increase of the above-mentioned physical parameters due to nonlinear interaction and drifting electrons depends upon the ratio of drifting to phase velocity.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 12 , Issue 2 , October 1974 , pp. 287 - 295
Copyright
Copyright © Cambridge University Press 1974

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References

REFERENCES

Boyd, T. J. M. 1967 Phys. Fluids, 10, 896.CrossRefGoogle Scholar
DuBois, D. F. 1967 Lectures in Theoretical Physics (ed. Brittin, W. E., Barut, A. O. and Guenin, M.), vol. 1XC, p. 469. Gordon and Breach.Google Scholar
Buti, B. & Lakhina, G. S. 1971 J. Plasma Phys. 5, 467.CrossRefGoogle Scholar
Das, K. P. 1968 Phys. Fluids, 11, 2055.CrossRefGoogle Scholar
Das, K. P. 1971 Phys. Fluids, 14, 2235.CrossRefGoogle Scholar
Harris, E. G. 1969 Advances in Plasma Physics (ed. Simon, A. and Thompson, W. B.), vol. 3, p. 157. Interscience.Google Scholar
Krishan, S. & Fukai, J. 1971 Phys. Fluids, 14, 1158.CrossRefGoogle Scholar
Landau, L. & Lifshitz, E. M. 1958 Quantum Mechanics. Addison-Wesley.Google Scholar
Lee, K. F. 1969 Phys. Rev. 181, 447.CrossRefGoogle Scholar
Montgomery, D. & Tidman, D. A. 1964 Phys. Fluids, 7, 242.CrossRefGoogle Scholar
Ross, D. 1969 Phys. Fluids, 12, 613.CrossRefGoogle Scholar
Selim, A. A. & Krishan, S. 1971 Phys. Fluids, 14, 1166.CrossRefGoogle Scholar
Selim, A. A., Krishan, S. & Rankin, D. 1973 J. Plasma Phys. 4, 23.Google Scholar
Selim, A. A. 1972 Ph.D. thesis, University of Alberta.Google Scholar
Stenflo, L. 1971 J. Plasma Phys. 5, 413.CrossRefGoogle Scholar
Stenflo, L. 1972 J. Plasma Phys. 7, 107.CrossRefGoogle Scholar
Sluijter, F. W. & Montgomery, D. 1965 Phys. Fluids, 8, 551.CrossRefGoogle Scholar
Tam, C. K. W. 1969 Phys. Fluids, 12, 1028.CrossRefGoogle Scholar
Tidman, D. A. & Stainer, H. M. 1965 Phys. Fluids, 8, 345.CrossRefGoogle Scholar