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Transient fields produced by a cylindrical electron beam flowing through a plasma

Published online by Cambridge University Press:  17 July 2012

Marie-Christine Firpo
Marie-Christine Firpo*
Affiliation:
Laboratoire de Physique des Plasmas, CNRS-Ecole Polytechnique, Palaiseau cedex, France
*
Address correspondence and reprint requests to: Marie-Christine Firpo, Laboratoire de Physique des Plasmas, CNRS-Ecole Polytechnique, 91128 Palaiseau cedex, France. E-mail: marie-christine.firpo@lpp.polytechnique.fr
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Abstract

The out-of-equilibrium situation in which an initially sharp-edged cylindrical electron beam, that could, e.g., model electrons flowing within a wire, is injected into a plasma is considered. A detailed computation of the subsequently produced magnetic field is presented. The control parameter of the problem is shown to be the ratio of the beam radius to the electron skin depth. Two alternative ways to address analytically the problem are considered: one uses the usual Laplace transform approach, the other one involves Riemann's method in which causality conditions manifest through some integrals of triple products of Bessel functions.

Keywords

Beam/plasma interactionFast ignition studiesOut-of-equilibrium calculationsPlasma-based acceleratorsWave equations
Type
Research Article
Information
Laser and Particle Beams , Volume 30 , Issue 3 , September 2012 , pp. 497 - 507
Copyright
Copyright © Cambridge University Press 2012

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