Open AccessFurther theoretical study on laminar-flow equilibria in magnetically focused relativistic electron beams
Author(s) -
Jing Liu,
Ting Shu,
Zhiqiang Li
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.1895
Subject(s) - laminar flow , physics , electron , magnetic field , space charge , angular momentum , beam (structure) , cathode ray , current (fluid) , mechanics , field (mathematics) , flow (mathematics) , momentum (technical analysis) , atomic physics , computational physics , classical mechanics , optics , quantum mechanics , thermodynamics , mathematics , pure mathematics , finance , economics
A numerical solution for the self-consistent differential equations describing the laminar-flow equilibrium in magnetically focused relativistic electron beams is given and proved to be available by comparison with analytical results of solid electron beam in the case of pθ=0 magnetically shielded sources. With the numerical method, the space-charge limited current and the externally applied magnetic field of both solid and annular electron beam in three cases of pθ=0,pθ=const and pθ∝r2 magnetically immerged sources are presented and compared. It is shown that the conditions at the source with respect to the canonical angular momentum pθ have little effect on the space-charge limited current and the externally applied magnetic field, but more intense annular electron beam generated by the source with pθ=const. can be transported in the same drift tube under lower guided magnetic field than solid ones.