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

• 来源期刊: 中国物理（英文版）
• 关键词: space-charge limiting current intense relativistic beam laminar-flow equilibrium state
• 年，卷（期）: 2007,（9）
• 页码范围: 2716-2720
• 页数: 5页
• 语种: 英文

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, Pθ, 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.