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This article is cited in 1 scientific paper (total in 1 paper)
Brief Communications
Nordsieck’s equation for a quasi-stationary relativistic electron beam propagating in a dense and rarefied gas-plasma medium along an external magnetic field
E. K. Kolesnikovab, A. S. Manuilovab a St. Petersburg State University, Mathematics and Mechanics Faculty
b St. Petersburg State University, Research Institute of Mathematics and Mechanics
Abstract:
An equation is derived for the envelope of a quasi-stationary relativistic electron beam propagating in a gas-plasma medium. It generalizes the well-known Nordsieck equation to the case of the presence of an external longitudinal magnetic field both under the beam transportation in an ohmic plasma and under ion focusing conditions. A formula for the rms radius of the beam at the stage of intense expansion with regard to a compensating ionic background, multiple scattering, and an external longitudinal magnetic field is found.
Received: 07.03.2013
Citation:
E. K. Kolesnikov, A. S. Manuilov, “Nordsieck’s equation for a quasi-stationary relativistic electron beam propagating in a dense and rarefied gas-plasma medium along an external magnetic field”, Zhurnal Tekhnicheskoi Fiziki, 83:11 (2013), 150–152; Tech. Phys., 58:11 (2013), 1696–1698
Linking options:
https://www.mathnet.ru/eng/jtf8629 https://www.mathnet.ru/eng/jtf/v83/i11/p150
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