Further theoretical study on laminar-flow equilibria in magnetically focused relativistic electron beams
层流平衡相对论电子束束流特性的数值计算

A numerical solution for the self-consistent differential equations describing the laminar-flow equilibrium in magnetically focused relativistic electron beams is given and proved to be available by comparison with analytical results of solid electron beam in the case of p_θ=0(magnetically shielded sources).With the numerical method,the space-charge limited current and the externally applied magnetic field of both solid and annular electron beam in three cases of p_θ=0,P_θ=const and p_θ∝r~2(magnetically immerged sources)are presented and compared.It is shown that the conditions at the source with respect to the canonical angular momentum P_θ have little effect on the space-charge limited current and the xternally applied magnetic field,but more intense annular electron beam generated by the source with P_θ=const.can be transported in the same drift tube under lower guided magnetic field than solid ones.