基于凸面几何学的凸体Yee元胞建模

为了解决利用时域有限差分(finite difference timedomain,FDTD)方法实现凸体的电磁散射特性数值计算中,普遍遇到的Yee元胞建模问题,该文提出了关于凸体的一种新的Yee元胞建模方法。其主要思路是利用凸面几何学的理论判断空间任意一点和凸体每一个体元之间的位置关系,进而可以判断此点与整个凸体的位置关系,由此建立了凸体的Yee元胞建模方法。此种方法称为凸体的凸面几何学Yee元胞建模(convex geometry Yee cells model building of convexobject,CGYCMBCO)方法。CGYCMBCO方法给出了4个凸体的Yee元胞建模的实验结果,实验结果表明CGYCMBCO方法适用于任意凸体,能给出任意凸体的Yee元胞。

Convex object Yee cell model building based on convex geometries

One of major concerns in numerical analyses of the electromagnetic scattering properties of convex objects in the finite difference time domain(FDTD) method is the Yee cell model of the convex object.A model building method for convex object was developed based on the geometric relationship between a point and each volume cell of a convex object based on the convex geometry.According to the geometric relationship between a point and any volume cell of a convex object,a method for modeling convex object Yee cells,which is called convex geometry Yee cells model building of convex object(CGYCMBCO) method,is proposed.Results using Yee cells of four convex objects show that the CGYCMBCO method is applicable to any convex object and that the Yee cells can be easily obtained for any convex object.