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Approximate theory of large-amplitude wave propagation

Published online by Cambridge University Press:  13 March 2009

H. Kim
H. Kim
Affiliation:
Institute for Plasma Research, Stanford University, Stanford, California 94305
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Extract

An orbit perturbation procedure is applied to the description of monochromatic, large-amplitude, electrostatic plasma wave propagation. In the lowest-order approximation, untrapped electrons are assumed to follow constant-velocity orbits and trapped electrons are assumed to execute simple harmonic motion. The deviations of these orbits from the actual orbits are regarded as perturbations. The nonlinear damping rate and frequency shift are then obtained in terms of simple functions. The results are in good agreement with previous less approximate analyses. A significant feature of the analysis is that it treats a single wave by techniques previously applied to turbulent spectra. The analysis can consequently be extended to the case of a large-amplitude wave interacting with a lower-amplitude spectrum of waves.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 3 , June 1977 , pp. 519 - 535
Copyright
Copyright © Cambridge University Press 1977

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