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Effect of ion motion on parametric oscillations of a cold plasma in a magnetic field

Published online by Cambridge University Press:  13 March 2009

R. Prasad
Affiliation:
Department of Mathematics, Hooghly Mohsin College, Chuchura, West Bengal, India

Abstract

Dispersion relations for first-order oscillations in an infinite homogeneous two- component plasma, in response to an externally applied constant magnetic field and a right-hand circularly polarized external electric field, and with propagation vector parallel to the magnetic field, has been obtained. The external electric field, assumed to be spatially homogeneous, is perpendicular to the applied magnetic field. It has been shown that the left-hand mode is excited and is unstable when its frequency ≃ ν–ωρ, where ν is the frequency of the external electric field and ωρ is the characteristic plasma frequency. When the applied magnetic field is large, both the left- and right-hand modes are excited and may be unstable when their frequencies ≃ Ωic – ωρ where Ωic represent the electron (i = 1) and the ion (i = 2) cyclotron frequencies. The principal criterion for the validity of these results is the condition of spatial homogeneity of the external electric field.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1971

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References

REFERENCES

Bogolyubog, N. N. & Mitropolskii, Y. A. 1961 Asymptotic methods in the Theory of Non-linear Oscillations. New York: Gordon and Breach.Google Scholar
Frieman, E. A. 1963 J. Math. Phys. 4, 401.CrossRefGoogle Scholar
Montgomery, D. & Alexeff, I. 1966 Phys. Fluids 9, 1362.CrossRefGoogle Scholar
Parsad, R. 1968 Phys. Fluids 11, 1768.CrossRefGoogle Scholar
Prasad, R. 1970 Phys. Fluids 13, 1310.CrossRefGoogle Scholar