【摘 要】
：
The self-consistent differential equations, which describe a laminar-flow equilibrium state in a magnetically focused intense relativistic electron beam propaga
【机 构】
：
School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 61
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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 exteally 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.
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