特殊边界下的多极理论

A Multipole Theory of Quasi Analytical Computation Electromagnetic Field Boundary Value Problems with Special Boundary

本文通过理论推理与误差分析，对不满足多极理论展开条件的电磁场边值问题，提出一套多极理论的准解析计算规则，为多极理论计算特殊边界下的电磁场边值问题提供理论基础。理论分析和实例计算结果表明：本文所提出的多极理论准解析计算规则是正确的，无论电磁场边值问题的边界形状如何特殊，均可用它进行计算，且计算中不需要离散场域或边界，可以很方便地应用于各类电磁场问题的设计与计算。

By means of theoretical deduction and analyzing the compution error, a Multipole Theory (MT) method and its using rules are presented for quasi analytical compution of electromagnetic field boundary value problems with special boundary. By analyzing and calculating engineering examples, it is proven that the MT method and its rules are reliable. No matter how difference and particularity the shape of electromagnetic field boundary studied is we also can use the method to calculate it and it is unnecessary to have a discretization for field domain or boundary. MT method is an effective method of computation electromagnetic field problems, which can be used to calculate and analyze various special electromagnetic engineering problems.