单轴各向异性分层介质的二维空域格林函数

2-D spatial domain Green′s function for uniaxial layered structures

通过采用２－Ｄ全波离散镜像技术得到了单轴各向异性分层介质结构的空域Ｇｒｅｅｎ函数的解析形式。重点讨论了应用全波离散镜像技术到２－Ｄ问题中的难点。通过比较，揭示了２－Ｄ问题中极点抽取的必要性。对于近谱变化剧烈的单轴各向异性介质的谱域Ｇｒｅｅｎ函数，采用了矩阵束方法进行拟合。最终结果与数值积分的结果吻合很好。

The spatial domain Green′s functions for uniaxial layered structures are cast into closed forms by using 2 D full wave discrete images(FWDI) technique.The main difficulty of the application of FWDI technique in 2 D problem is discussed in this paper.The comparison shows that the extraction of poles is necessary for 2-D problems.In order to catch the fast change of the near spectrum of the spectral domain Green′s function of uniaxial medium, the matrix pencil method(MPM) is used.All the results agree well with those of numerical integration.