半空间环境中任意位置三维导体目标的电磁建模

采用基于混合位积分方程的数值方法对半空间环境中任意位置(包括界面上方、下方以及跨界面情形)的三维导体目标进行电磁建模,并通过以下两个途径来提高求解效率:一是优化阻抗矩阵的生成过程来避免格林函数的重复计算;二是在不同场源距离区域使用不同的索末菲积分计算方法(包括折合积分路径方法、最陡下降路径方法以及离散复镜像方法)来提高格林函数的单次计算效率.数值结果表明,该方法能方便地对半空间环境中任意位置目标电磁辐射与散射进行精确数值计算,同时具有较高的计算效率.

Electromagnetic modeling of three-dimension perfectly conducting object located arbitrarily in half-space environment

Numerical method based on mixed potential integral equation is used to model the electromagnetic radiation and scattering by three-dimension perfectly conducting object located arbitrarily in half-space environment, including above, below or penetrating the interface. Two approaches are employed to enhance the efficiency of the solution. To void the repeated evaluation of greens functions for half-space, optimization is made to the filling process of impedance matrix. In order to enhance the efficiency of single greens functions evaluation, different proper methods are applied to the regions with different observation-source distance to calculate Sommerfeld integrals, including method of integration along folded Sommerfeld integral path, method of integration along steepest decent path, discrete complex image method and so on.The numerical results show that the methods proposed in the paper can not only model conveniently the radiation and scattering by three-dimension perfectly conducting object located arbitrarily in half-space environment, but also accurate and efficiently.