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A Fourier-space description of oscillations in an inhomogeneous plasma. Part 1. Continuous Fourier transformation

Published online by Cambridge University Press:  13 March 2009

Z. Sedláček  and
P. S. Cally
Z. Sedláček
Affiliation:
Institute of Plasma Physics, Academy of Sciences of the Czech Republic, P.O. Box 17, Za Slovankou 3, 182 00 Prague 8, Czech Republic
P. S. Cally
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia
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Abstract

Oscillations in inhomogeneous cold plasmas or inhomogeneous magnetofluids are interpreted in terms of the dynamics of their spectra in wavenumber space. By Fourier transforming the basic integro-differential equation of the problem, a generalized wave equation in wavenumber space is derived, thus converting the oscillation and phase-mixing processes in the original χ space into processes of dispersive propagation and scattering of the spectrum in wavenumber space. The Barston singular continuum eigenmodes correspond to stationary scattering states of a monochromatic wave in wavenumber space, whereas the damping phenomena in χ space correspond to transient ‘leaking’ phenomena accompanying scattering and dispersive propagation of a wave packet in wavenumber space.

Type
Research Article
Information
Journal of Plasma Physics , Volume 52 , Issue 2 , October 1994 , pp. 245 - 264
Copyright
Copyright © Cambridge University Press 1994

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