非笛卡儿张量分析在计算电磁学中的应用

采用以非笛卡儿张量分析为基础的广义矩阵法，来推求任意曲线坐标系中计算电磁学的基本方程－Ｍａｘｗｅｌｌ方程，从而根据物理问题的边界几何形状，可以简便地导出选用的三维空间任意曲线坐标系中的解析式。本文提出了Ｍａｘｗｅｌｌ方程组基本的，适用于任意坐标系的张量公式及广义矩阵公式，还揭示了推求正交或非正交的曲线坐标系中Ｍａｘｗｅｌｌ方程组的示例。该法还可推广到求四维场的表达式等诸方面。

Application of Non-Cartesion Tensor Analysis for Numerical Electromagnetics

By means of the generalized matrix method based on non-Cartesion tensor analysis ,in an arbitrary coordinates the numerical electromagnetics basic equations ,Maxwell's equations are derived. And according to the boundary geometric figure of a given problem it proves to be simple and convenient ,to find the analytic expressions in a selected 3-D space system by this method. An example of deriving basic formulae of Maxwell's equations in an arbitrary coordinates system is presented . This method can be further used to derive the expresssion of 4 -D field ,etc.