区域分裂法及其在三维散射中的应用

基于区域分裂（ＤＤＭ）和频域有限差分（ＦＤＦＤ）提出了一种分析三维散射问题的精确高效算法。用区域分裂法可以把原问题分解成若干子问题,可以大大缩小稀疏矩阵的规模,使得求解大尺寸三维散射问题成为可能。文中首先在小尺寸下计算了三维立体柱的散射特性,并和没有进行区域分裂时的ＦＤＦＤ法进行了对比,验证了本算法的正确性;然后又计算了尺寸比较大的三维矩形柱的散射特性,验证了它的高效性。

The application of domain decomposition mmethod in scattering analysis of 3-D objects

An efficient method based on Domain Decomposition Method(DDM) and FDFD is presented to solve the scattering problem by three dimensional objects. The original large domain is divided into several sub domains and the size of the sparse matrix created by FDFD is reduced much more. Thus the scattering problem by large 3 D objects can be solved. The scattering characteristic of a small three dimensional cube scatterer is calculated firstly. It is agreement between results calculated by DDM and the results from FDFD method. Then a large 3-D rectangular pillar is computed to prove the efficiency of this method.