中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2716-2720.doi: 10.1088/1009-1963/16/9/036
李建清, 莫元龙
Li Jian-Qing(李建清)† and Mo Yuan-Long(莫元龙)
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, $p_{\theta }$, 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 $p_{\theta }=0$ (magnetically shielded source) and $p_{\theta }=$~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.
中图分类号: (Relativistic plasmas)