用于处理六边对称结构电磁散射的GIM技术

The GIM Technique on Electromagnetic Scattering Problems with Hexagonal Symmetric Scattering Structure

利用散射体的几何对称特性，使各种矩阵方法（指通过离散化，最终导致应用矩阵求解的数值方法）求解散射场过程中所需要的存储单元和时间减少，是当前具有理论和实际意义的重要课题。为此，本文在广义镜像法原理（GIM）的基础上，给出了处理一种具有六边对称结构的电磁散射问题的新方法。本文的结果表明：在计算散射体形状为六边对称的散射场的过程中，能够使所需总的矩阵阶数降至1／4，所需总的运算时间降至约1／32。这一运算结果较之于原来的GIM方法处理同一问题，在不降低运算精度的情况下．可使运算时间和运算所需的存储量节约近一倍。

It is an important issue both in theory and practice nowadays that for us to reduce computer memory and calculation time of matrix in solving scattering field by making use of geometric symmetric features of a scattering body. In this paper, based on the original GIM, a developed method that can save a great deal of calculation time and computer memory is proposed when we use it for the scattering field of hexagonal symmetry structure.