Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (8): 1586-1590.doi: 10.3969/j.issn.1001-506X.2010.08.07

• 电子技术 • 上一篇    下一篇

用二维DCIM计算分层媒质中场源点不同层时的格林函数

廖飞龙1, 尹成友1, 杜红兵2, 覃开云1   

  1. (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)
  • 出版日期:2010-08-13 发布日期:2010-01-03

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   

  1. (1. Electronic Engineering Inst., Hefei 230037, China; 2. Unit 63880 of the PLA, Luoyang 471003, China)
  • Online:2010-08-13 Published:2010-01-03

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。

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.