Kinetic approach to deriving the envelope equation for a relativistic electron beam propagating in the ion focusing regime in the presence of an ion channel with an arbitrary radial profile

Research output

Abstract

© 2015, Pleiades Publishing, Ltd.Kinetic methods are applied to derive the transport equations, the virial equations, the dynamic-equilibrium equation, and the envelope equation for an axially symmetric paraxial relativistic electron beam propagating in the ion focusing regime in the presence of an ion plasma channel with a radial density profile differing significantly from the corresponding profile of the beam current density. The resultant equations contain the terms that take into account this difference. In addition, the equations obtained account for the case when the electron component of the background plasma is only partially removed from the beam region.
Original languageEnglish
Pages (from-to)1609-1614
JournalTechnical Physics
Issue number11
DOIs
Publication statusPublished - 2015

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relativistic electron beams
envelopes
kinetics
profiles
ions
equilibrium equations
beam currents
current density
electrons

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title = "Kinetic approach to deriving the envelope equation for a relativistic electron beam propagating in the ion focusing regime in the presence of an ion channel with an arbitrary radial profile",
abstract = "{\circledC} 2015, Pleiades Publishing, Ltd.Kinetic methods are applied to derive the transport equations, the virial equations, the dynamic-equilibrium equation, and the envelope equation for an axially symmetric paraxial relativistic electron beam propagating in the ion focusing regime in the presence of an ion plasma channel with a radial density profile differing significantly from the corresponding profile of the beam current density. The resultant equations contain the terms that take into account this difference. In addition, the equations obtained account for the case when the electron component of the background plasma is only partially removed from the beam region.",
author = "E.K. Kolesnikov and A.S. Manuilov",
year = "2015",
doi = "10.1134/S1063784215110171",
language = "English",
pages = "1609--1614",
journal = "Technical Physics",
issn = "1063-7842",
publisher = "Pleiades Publishing",
number = "11",

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AU - Manuilov, A.S.

PY - 2015

Y1 - 2015

N2 - © 2015, Pleiades Publishing, Ltd.Kinetic methods are applied to derive the transport equations, the virial equations, the dynamic-equilibrium equation, and the envelope equation for an axially symmetric paraxial relativistic electron beam propagating in the ion focusing regime in the presence of an ion plasma channel with a radial density profile differing significantly from the corresponding profile of the beam current density. The resultant equations contain the terms that take into account this difference. In addition, the equations obtained account for the case when the electron component of the background plasma is only partially removed from the beam region.

AB - © 2015, Pleiades Publishing, Ltd.Kinetic methods are applied to derive the transport equations, the virial equations, the dynamic-equilibrium equation, and the envelope equation for an axially symmetric paraxial relativistic electron beam propagating in the ion focusing regime in the presence of an ion plasma channel with a radial density profile differing significantly from the corresponding profile of the beam current density. The resultant equations contain the terms that take into account this difference. In addition, the equations obtained account for the case when the electron component of the background plasma is only partially removed from the beam region.

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DO - 10.1134/S1063784215110171

M3 - Article

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JO - Technical Physics

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