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Cyclotron resonance in an inhomogeneous plasma

Published online by Cambridge University Press:  13 March 2009

M. J. Laird
Affiliation:
Department of Mathematics, King's College, London

Abstract

The motion of a charged particle in a transverse wave of varying amplitude, wavelength and phase speed βp, propagating along a uniform magnetic field, together with a longitudinal electric field, is investigated. The equations of motion, in Hamiltonian form, are reduced to a system with two degrees of freedom in which integrable cases appear naturally. It is shown that particles may be locked in resonance with the wave, and expressions are found for the energy and momentum of such particles in terms of βp.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1972

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References

REFERENCES

Arnol'd, V. I. 1963 Russian Math. Surveys, 18 (6), 85.CrossRefGoogle Scholar
Ashour-Abdalla, M. 1970 Planet. Space Sci. 18, 1799.CrossRefGoogle Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas. Addison.Wesley.Google Scholar
Coffey, T. P. 1969 J. Math. Phys. 10, 1362.CrossRefGoogle Scholar
Dysthe, K. B. 1971 J. Geophys. Res. 76, 6915.CrossRefGoogle Scholar
Helliwell, R. A. 1967 J. Geophys. Res. 72, 4773.CrossRefGoogle Scholar
Laird, M. J. 1968 J.Plasma Phys. 2, 59.CrossRefGoogle Scholar
Laird, M. J. 1971 Phys. Fluids, 14, 1282.Google Scholar
Laird, M. J. & Knox, F. B. 1965 Phys. Fluids, 8, 755.CrossRefGoogle Scholar
Nunn, D. 1971 Planet. Space Sci. 19, 1141.Google Scholar
Orefice, A. 1969 Nuovo Cimento, 63B, 638.CrossRefGoogle Scholar
Sudan, R. N. & Ott, E. 1971 J. Geophys. Res. 76, 4463.Google Scholar