圆柱分层媒质中并矢格林函数的快速计算

Fast Computation of Dyadic Green's Functions for Cylindrically Stratified Media

提出了一种适于在 PC机上计算圆柱分层媒质中格林函数的数值方法 .运用迭代方法和渐近方法分区域计算了复宗量圆柱组合函数 ,得到了谱域格林函数的精确值 .用高精度的数值积分法将谱域格林函数经逆傅里叶变换 ,求得了格林函数的空域结果 .计算结果与现有文献比较 ,取得了良好的一致性 。

Proposes a new algorithm which is very efficient for the computation of the Green's functions for cylindrically stratified media on a PC. Using the recursive and asymptotic method in different complex zones, precise results of cylindrical combination functions with complex argument and the Green's functions in spectral domain are obtained. Through the inverse Fourier transform, spatial Green's functions are obtained. Numerical results from this algorithm are in good agreement compared with those from relevant literature.