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Theory of weakly nonlinear VLF interactions

Published online by Cambridge University Press:  13 March 2009

N. Murdoch
N. Murdoch*
Affiliation:
Department of Mathematics, University of Exeter, Exeter
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Abstract

A mathematical description of the weakly nonlinear regime of the coherent cyclotron resonance instability in the magnetosphere which has hitherto been neglected in the literature has been developed. Using the concept that the fundamental role played by the inhomogeneity of the Earth's magnetic field is to limit the interaction time between the resonance electrons and whistler mode wave, perturbation expansions of the current equations to third order have been obtained. It is then found that the real component of resonance current can qualitatively account for excess growth found in some magnetospheric transmissions while the imaginary component gives a good quantitative estimate of frequency shifts observed in transmissions of the mains harmonics.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 3 , December 1983 , pp. 495 - 510
Copyright
Copyright © Cambridge University Press 1983

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