基于多层快速多极子算法分析平面多层结构  

Multilayered plane structure using multilevel fast multipole algorithm

作　　者：丁大志[1] 刘金权[1] 胡云琴[1] 陈如山[1] 

机构地区：[1]南京理工大学电子工程与光电技术学院,江苏南京210094

出　　处：《电波科学学报》2009年第3期422-426,456,共6页Chinese Journal of Radio Science

基　　金：中国博士后基金(No.20070411054);江苏省博士后基金(No.0701017B);国家自然科学基金(No.60871013;No.60701005);高等学校博士学科点专项科研基金(No.20070288043);重点实验室基金(No.9140C5305020805)

摘　　要：由于多层平面结构空域闭式格林函数难以用加法定理展开,因此,将多层快速多极子算法推广到该类问题的分析存在一定困难。采用二级离散复镜像技术,获得了多层介质空域格林函数,通过对其表达形式做简单的改写,提出针对多层平面结构的多层快速多极子算法,详细讨论了加法定理展开条件对离散复镜像系数的影响及处理办法。数值算例验证了本文方法的准确性和有效性。Due to the complexity of the spatial domain multilayered Green＇s function （GF）, it is quite difficult to extend the multilevel fast multipole algorithm （MLFMA） to multilayered plane structures. The two level discrete complex image method （2-DCIM） is used to obtain the closed spatial domain green＇s function which can be expanded by recompositing the addition theorem. Finally the MLFMA can be used to accelerate the simulation of the EM scattering by the multilayered plane structures. The restriction to the 2-DCIM exponential coefficient caused by the addition theorem is discussed in detail. Numerical results are presented to demonstrate the accuracy and capability of the proposed method.

关 键 词：多层快速多极子 二级离散复镜像 多层媒质格林函数 加法定理 

分 类 号：TN015[电子电信—物理电子学]