求解三种导体构形中相对论电子形成的空间电荷限制流

 从Poisson方程及空间电荷限制流假设出发，推导了三种导体构形中相对论电子形成的空间电荷流密度的一般方程，给出了求解方法及解的基本特征、平板形阳极空间电荷限制流的具体表达式，研究了同轴圆筒形及共顶点同轴圆锥形导体空间电荷限制流关系表达式的极性效应、空间电荷密度及电场分布。

Solution to space-charge-limited flow in three relativistic configurations

A generalized equation, which governs space charge current flow in three relativistic configurations, was derived from Poisson's equation with assumption of space-charge-limited flow. A method for solution to the equation was introduced and the characteristic of solution for the three configurations was discussed as well. It was found that the expressions of space-charge-limited flow for both the common-vertex-coaxial-circular-cones and coaxial cylindrical conductors have polarity effect, which results in different distribution of space charge and electrical stress from that of planar case.