Space-charge limiting currents for magnetically focused intense relativistic electron beams  

作　　者：李建清 莫元龙 

机构地区：[1]School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China

出　　处：《Chinese Physics B》2007年第9期2716-2720,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No 10476004）.

摘　　要：The self-consistent differential equations, which describe a laminar-flow equilibrium state in a magnetically focused intense relativistic electron beam propagating inside a conducting waveguide, are presented. The canonical angular momentum, Pe, defined under the conditions at the source, uniquely determines the possible solutions of these equations. By numerically solving these equations, the space-charge limited current and the externally applied magnetic field are obtained in a solid beam and a hollow beam in two cases of Pθ= 0 （magnetically shielded source） and Pθ= const. （immersed source） separately. It is shown that the hollow beam is more beneficial to the propagation of the intense relativistic beam through a drift tube than the solid beam.The self-consistent differential equations, which describe a laminar-flow equilibrium state in a magnetically focused intense relativistic electron beam propagating inside a conducting waveguide, are presented. The canonical angular momentum, Pe, defined under the conditions at the source, uniquely determines the possible solutions of these equations. By numerically solving these equations, the space-charge limited current and the externally applied magnetic field are obtained in a solid beam and a hollow beam in two cases of Pθ= 0 （magnetically shielded source） and Pθ= const. （immersed source） separately. It is shown that the hollow beam is more beneficial to the propagation of the intense relativistic beam through a drift tube than the solid beam.

关 键 词：space-charge limiting current intense relativistic beam laminar-flow equilibrium state 

分 类 号：O46[理学—电子物理学]