相交双球相界区域静电问题的解及其应用

ANALYTIC SOLUTIONS TO THE ELECTROSTATIC PROBLEMS OF THE REGION BOUNDED BY TWO IHTERSECTING SPHERES AND ITS APPLICATIONS

本文建立并研究了在均匀外场中相交双球相界区域的一般模型。利用环坐标系导出了空间合成场的解析解,并将结果运用至尖端效应及小孔穿透问题的研究中。

The generic modsls of the region bounded by two intersecting sphcres in a uniform cxtcrnal field is cstablished and tackled in this paper. By cmploying the toroidal coordinate system the analytic solutions of the resultant potential are obtained. As its application, this solutions are used in the study of the corona cnhancement and small aperture Pcnetraton problems.