中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2716-2720.doi: 10.1088/1009-1963/16/9/036

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

李建清, 莫元龙   

  1. School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 收稿日期:2006-07-16 修回日期:2007-02-03 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~10476004).

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

Li Jian-Qing(李建清)† and Mo Yuan-Long(莫元龙)   

  1. School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China
  • Received:2006-07-16 Revised:2007-02-03 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~10476004).

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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.

关键词: space-charge limiting current, intense relativistic beam, laminar-flow equilibrium state

Abstract: 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.

Key words: space-charge limiting current, intense relativistic beam, laminar-flow equilibrium state

中图分类号:  (Relativistic plasmas)

  • 52.27.Ny
41.75.Fr (Electron and positron beams) 47.15.-x (Laminar flows) 52.30.-q (Plasma dynamics and flow) 52.40.Mj (Particle beam interactions in plasmas)