On a formulation of the equation for the transverse dynamics of a relativistic electron beam propagating in the ion focused regime

Authors

  • Evgeniy K. Kolesnikov St.Petersburg State University, Universitetskiy pr., 28, Petrodvorets, 198504, Russian Federation;
  • Alexander S. Manuilov St.Petersburg State University, Universitetskiy pr., 28, Petrodvorets, 198504, Russian Federation;

Abstract

A formulation of the equation for the relativistic electron beam centroid dynamics in the case of a ion hose instability for the situation of the beam propagating in the ion plasma channel in gas — plasma rarefied background (ion focused regime) is derived. It is assumed that this instability are investigated in the linear stage only. It is assumed that the electron plasma fraction not fully removed from a beam’s volume. For this case in the derived equation the stabilizing and destabilizing terms are formulated. Moreover, the physics factors that determine this terms are defined. Refs 12.

Keywords:

relativistic electron beam, ion hose instability, ion plasma channel, ion focused regime

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Published

2014-08-01

How to Cite

Kolesnikov, E. K., & Manuilov, A. S. (2014). On a formulation of the equation for the transverse dynamics of a relativistic electron beam propagating in the ion focused regime. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 1(3), 459–464. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11073

Issue

Vol. 1 No. 3 (2014)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.