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用二维DCIM计算分层媒质中场源点不同层时的格林函数
引用本文:廖飞龙,尹成友,杜红兵,覃开云.用二维DCIM计算分层媒质中场源点不同层时的格林函数[J].系统工程与电子技术,2010,32(8):1586-1590.
作者姓名:廖飞龙  尹成友  杜红兵  覃开云
作者单位:(1. 电子工程学院, 安徽 合肥 230037; 2. 中国人民解放军63880部队, 河南 洛阳 471003)
摘    要:采用二维离散复镜像法(discrete complex image method, DCIM)计算分层媒质中场点和源点不在同一层时的格林函数。运用二维旋转子空间不变法(estimation of signal parameters via rotational invariant technique, ESPRIT)将谱域核函数表示成二维指数级数的形式,利用Sommerfeld恒等式得到场源点不同层情况下空域内的闭式格林函数,避免了插值方法的繁琐运算。数值仿真结果证明了其正确性和有效性。

关 键 词:分层媒质  Sommerfeld积分  二维离散复镜像法  二维ESPRIT方法

Using two-dimensional DCIM to calculate Green function with source and field points locating in different layers in the layered medium
LIAO Fei-long,YIN Cheng-you,DU Hong-bing,QIN Kai-yun.Using two-dimensional DCIM to calculate Green function with source and field points locating in different layers in the layered medium[J].System Engineering and Electronics,2010,32(8):1586-1590.
Authors:LIAO Fei-long  YIN Cheng-you  DU Hong-bing  QIN Kai-yun
Institution:(1. Electronic Engineering Inst., Hefei 230037, China; 2. Unit 63880 of the PLA, Luoyang 471003, China)
Abstract:A two-dimensional discrete complex image method (DCIM) is used to calculate the Green functions in the layered medium when field point and source point are located in different layers. Firstly the spectral kernel function is expressed as two-dimension exponential series by two-dimensional estimation of signal parameters via rotational invariant techniques (ESPRIT), then Sommerfeld identity is used to get the closed form Green functions in spatial domain. The numerical interpolation is avoided and numerical simulation results confirm the correctness of this method.
Keywords:layered medium  Sommerfeld integral  two-dimensional discrete complex image method  two-dimensional ESPRIT method
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