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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

REFERENECS

Cano, R., Etlevant, C., Fidone, I. & Granata, G. 1969 Nuclear Fusion, 9, 223.CrossRefGoogle Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas. Addison-Wesley.Google Scholar
Coppi, B., Rosenbluth, M. N. & Sudan, R. N. 1969 Ann. Phys. (N.Y.) 55, 207.CrossRefGoogle Scholar
Davidson, R. C. & Goldman, R. 1968 Phys. Rev. Lett. 21, 1671.CrossRefGoogle Scholar
Davidson, R. C. 1971 Methods in Nonlinear Plasma Theory. Academic.Google Scholar
Dubois, D. F. 1967 Lectures in Theoretical Physics (ed. Brittin, W. E., Barut, A. O. and Guenin, M.), vol. 9C, p. 469. Gordon and Breach.Google Scholar
Etievant, C., Ossakow, S., Ozizmir, E., Su, C. H. & Fidone, I. 1968 Phys. Fluids, 11, 1778.CrossRefGoogle Scholar
Fukai, J., Krishan, S. & Harris, E. G. 1969 Phys. Rev. Lett. 23, 910.CrossRefGoogle Scholar
Fukai, J., Krishan, S. & Harris, E. G. 1970 Phys. Fluids, 13, 3031.CrossRefGoogle Scholar
Harker, K. J. & Crawford, F. W. 1968 J. Appl. Phys. 39, 5959.CrossRefGoogle Scholar
Harker, K. J. & Crawford, F. W. 1969 Appl. Phys. 40, 3247.CrossRefGoogle Scholar
Harris, E. G. 1969 Advances in Plasma Physics, vol. 3 (ed. Simon, A. and Thompson, W. B.). Interscience.Google Scholar
Ignat, D. W. & Hirschfleld, J. L. 1970 Phys. Rev. A 1, 872.CrossRefGoogle Scholar
Kalman, G. & Feix, M. R. (ed.) 1969 Nonlinear Effects in Plasmas. Proc. 2nd Summer Inst., Orsay. Gordon and Broach.Google Scholar
Kim, H., Harker, K. J. & Crawford, F. W. 1970 Stanford University IPR Rep. 379.Google Scholar
Krishan, S. & Fukai, J. 1971 Phys. Fluids, 14, 1158.CrossRefGoogle Scholar
Kurasawa, T. 1968 Bull. Electrotech. Lab., Tokyo, 32, 7.Google Scholar
Kurasawa, T. 1971 Electrotech. Lab., Tokyo, Rep. 718.Google Scholar
Kurasawa, T. & Matsuura, K. 1968 J. Phys. Soc. Japan.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1958 Quantum Mechanics. Addison-Wesley.Google Scholar
Lee, K. F. 1969 Phys. Rev. 18, 447, 453.CrossRefGoogle Scholar
Porkolab, M. & Chang, R. P. H. 1970 Phys. Fluids, 13, 2054.CrossRefGoogle Scholar
Porkolab, M. & Chang, R. P. H. 1972 Phys. Fluids, 15, 283.CrossRefGoogle Scholar
Roman, P. 1964 Introduction to Quantum Mechanics. Wiley.Google Scholar
Ross, D. W. 1969 Phys. Fluids, 12, 613.CrossRefGoogle Scholar
Sagdeev, R. Z. & Galeev, A. A. 1969 Nonlinear Plasma Theory (ed. O'Neil, T. M. and Book, D. L.). Benjamin.Google Scholar
Selim, A. A. & Krishan, S. 1971 Phys. Fluids, 14, 1166.CrossRefGoogle Scholar
Sjölund, A. & Stenflo, L. 1967 Z. Physik, 204, 211.CrossRefGoogle Scholar
Stenflo, L. 1970 J. Plasma Phys. 4, 585.CrossRefGoogle Scholar
Stenflo, L. 1971 J. Plasma Phys. 5, 413.CrossRefGoogle Scholar
Stenflo, L. 1972 J. Plasma Phys. 7, 107.CrossRefGoogle Scholar
Tsytovich, V. N. 1970 Nonlinear Effects in Plasma (ed. Hamberger, S. M.). Plenum.CrossRefGoogle Scholar
Walters, G. M. & Harris, B. G. 1968 Phys. Fluids, 11, 112.CrossRefGoogle Scholar
Wiehelmsson, H. 1969 J. Plasma Phys. 3, 215.CrossRefGoogle Scholar