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Some Properties of large-amplitude electrostatic waves (Allis modes)

Published online by Cambridge University Press:  13 March 2009

W. W. Neel  and
R. W. Flynn
W. W. Neel
Affiliation:
Physics Department, University of South Florida
R. W. Flynn
Affiliation:
Physics Department, University of South Florida
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Abstract

Allis modes are large-ampliturde, undamped electrostatic plasma waves, in which the trapped electron distribution is the analytic continuation of the untrapped distribution. Allis modes can be pulse-like, as well as periodic. As the amplitude of the periodic solutions increases, the frequency decrsases and the wavelength increases, leading finally to solitary pulse solutions as a limiting case, reached when an appreciable number of electrons are trapped by the wave. These pluse-like solutions imply a maximum amplitude to Allis modes, and a maximum d.c. current they can drive. A simple approximate expression gives the non-linear properties of Allis modes in terms of the linear properties and the maximum amplitude.

Type
Research Article
Information
Journal of Plasma Physics , Volume 9 , Issue 1 , February 1973 , pp. 117 - 130
Copyright
Copyright © Cambridge University Press 1973

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