平面分层介质结构的空间域格林函数近似解

The Approximate Solution of Spatial Green′s Functions for Planar Stratified Media

本文详细描述了用离散复镜像法求解平面分层介质结构的空间域格林函数的过程，指出传统离散复镜像法中存在的不足之处。给出了采用现代谱估计技术中的矩阵束法代替Ｐｒｏｎｙ 法，并通过改变Ｓｏｍ ｍ ｅｒｆｅｌｄ 积分路径，进行多级近似的改进方法。该方法避免了预先研究谱域格林函数的性态和繁琐的提取极点的过程，提高了计算效率和稳定性。

The Discrete Complex Image Method (DCIM) applie d to obtain the spatial Green′s functions for planar stratified media is descri bed in detail.The shortcomings with DCIM are also demonstrated. A new approach b ased on DCIM is presented,in which the Sommerfeld integral path is changed and t he spectral domain Green′s functions are gradually approximated using Matrix Pe ncil Method instead of Prony Method.Investigation on the properties of spectral domain Green′s function and the tedious poles extraction procedure are avoided with the new method,consequently the computation efficiency and stability are i mproved.