三维多物体散射问题的区域分解时域有限差分方法  

A novel domain decomposition FDTD algorithm for the analysis of 3-D multi-objects scattering problem

作　　者：许锋[1] 洪伟[1] 周后型[1] 

机构地区：[1]东南大学国家毫米波重点实验室,江苏南京210096

出　　处：《通信学报》2004年第3期105-111,共7页Journal on Communications

基　　金：国家杰出青年基金资助项目(6925102)

摘　　要：提出一种用于计算三维多物体散射问题的区域分解时域有限差分算法(DD-FDTD)。各散射体之间用三维时域Green函数传递信息,取代经典FDTD算法通过网格迭代运算传递信息的方式。每个物体处理为一个子域,当各物体相距一定距离时,省去了各物体间大量网格,减小了存储量。将各物体间的互偶处理为等效球面波照射,采用惠更斯原理,等效球面波激励信号可处理为球面波入射场阵列(SWIFA),大幅度提高了计算速度;同时采用近远场变换的方法来获得等效球面波,进一步提高了计算速度。通过几个实例的分析,验证了该算法的正确性。A novel domain decomposition FDTD method (DD-FDTD) is presented for solving 3-D multi-objects scattering problem. The idea of domain decomposition is introduced here for greatly decreasing the memory requirements. Based on this idea, the original domain is decomposed into several sub-domains according to each object. All of sub-domains are connected by use of the 3-D time domain Green抯 function. The coupling between objects can be regarded as the equivalent spherical wave irradiations. The input signals of the equivalent spherical waves are expressed as spherical wave input filed array (SWIFA) according Huygens principle. Then the calculation speed is increased largely. The near-zone to far-zone transformation is used to obtain the equivalent spherical wave, this increase the calculation speed more. The new method has been verified by examining the computed results of a number of typical guided wave structures with the published results. Very good agreement is achieved.

关 键 词：区域分解 时域有限差分法 等效球面波 近远场变换 

分 类 号：TN011[电子电信—物理电子学]