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The effects of trapped and untrapped particles on an electrostatic wave packet

Published online by Cambridge University Press:  13 March 2009

Magne S. Espedal
Magne S. Espedal
Affiliation:
Department of Applied Mathematics, University of Bergen
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Abstract

We present a procedure to solve the Vlasov–Poisson equations for electrostatic wave packets. We obtain a Schrödinger type of wave equation, taking the wave– particle interaction into account. We use this equation to study the propagation of one finite-amplitude wave packet. We find a change in amplitude caused by interaction between the packet and particles propagating near to the group velocity. Also, we find a modulation of the plasma in the front of the packet, caused by trapping effects.

Type
Research Article
Information
Journal of Plasma Physics , Volume 12 , Issue 3 , December 1974 , pp. 487 - 500
Copyright
Copyright © Cambridge University Press 1974

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References

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