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Nonlinear interaction between ordinary electromagnetic modes

Published online by Cambridge University Press:  13 March 2009

S. Krishan ,
D. Rankin  and
A. A. Selim
S. Krishan
Affiliation:
Department of Physics, University of Alberta, Edmonton 7, Alberta, Canada
D. Rankin
Affiliation:
Department of Physics, University of Alberta, Edmonton 7, Alberta, Canada
A. A. Selim
Affiliation:
Department of Physics, University of Alberta, Edmonton 7, Alberta, Canada
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Abstract

Resonant interaction between three ordinary modes, modified by electrons streaming parallel or antiparallel to the static magnetic field of a homogeneous plasma, is investigated. The modes propagate perpendicular to the magnetic field. If the unperturbed current density is zero, the scattering matrix for three-wave resonant interaction depends only on the cube of the electron drift velocity. If two electron beams of equal density are counter-streaming, the scattering matrix vanishes completely. If the unperturbed current density is non-zero, the matrix depends on the linear and cubic terms in the electron drift velocity. In the present investigation, the Hamiltonian approach, which is microscopic in nature, has been used, and therefore the results are valid for arbitrary ratios of Larmor radius to wavelength.

Type
Research Article
Information
Journal of Plasma Physics , Volume 9 , Issue 1 , February 1973 , pp. 23 - 32
Copyright
Copyright © Cambridge University Press 1973

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References

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