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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.

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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