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The Maxwellian plus water-bag model: application to the propagation of longitudinal electron waves in a plasma with Maxwellian and mono-energetic supra-thermal electrons

Published online by Cambridge University Press:  13 March 2009

J. P. Treguier  and
D. Henry
J. P. Treguier
Affiliation:
Département CPM/PMT, Centre National d'Etudes des Télécommunications, 22301 Lannion, France
D. Henry
Affiliation:
Département CPM/PMT, Centre National d'Etudes des Télécommunications, 22301 Lannion, France
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Extract

This paper is a theoretical and experimental study of the propagation of longitudinal electron waves in a collisionless, homogeneuos, isotropic plasma, composed of Maxwellian and supra-thermal electrons. Assuming the supra-thermal electrons are mono-energetic, the velocity distribution function is chosen as a Maxwellian plus water-bag distribution; then, using the method of residues (inverse Fourier–Laplace transform), the behaviour of the electric field is found to be in good agreement with experimental results obtained for a plasma of Maxwellian and quasi-mono-energetic electrons. The plasma parameters can be deduced from the theoretical dispersion curves matching the experimental points; they are found to agree well with those measured by electrostatic probes. Experimental values of damping and excitation coefficients are also compared with the theoretical. The results suggest that a longitudinal electron wave propagation experiment may be used as a powerful diagnostic tool to examine non-Maxwellian plasmas.

Type
Articles
Information
Journal of Plasma Physics , Volume 13 , Issue 2 , April 1975 , pp. 193 - 216
Copyright
Copyright © Cambridge University Press 1975

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