An Effective MoM Solution With Nested Complex Source Beam Method for Electromagnetic Scattering Problems
An Effective MoM Solution With Nested Complex Source Beam Method for Electromagnetic Scattering Problems
复制标题
DOI：
10.1109/tap.2016.2550082
复制
发表时间：
2016-04
影响因子：
5.7
通讯作者：
K. Wang;Z. Fan;M. Li;R. Chen
中科院分区：
文献类型：
--
作者：
K. Wang;Z. Fan;M. Li;R. Chen
提出了一种基于八叉树结构的嵌套复源波束（NCSB）方法，用于加速矩量法（MoM）求解三维电磁散射问题。在最细的层次上，每个基函数的远场贡献表示为分布在等效球面上的复源光束（CSB）的远场贡献。此外，在子级处的源组的CSB辐射的远场可以由在父级处的源组的CSB辐射的远场表示。类似地，在父级的每个观察组的CSB的接收字段可以用属于其子级组的CSB的接收字段来表示。通过建立相邻两层CSB之间的等价关系，得到了NCSB方法的嵌套等价过程，并且只有最细层的CSB与其组内的基函数有直接的关联。通过适当参数的数值例子，NCSB方法在矩阵向量积（MVP）时间和内存存储方面的计算复杂度均为O（NlogN），数值结果表明该方法比当前的多级CSB方法具有更好的效率。
A nested complex source beam (NCSB) method based on octree structure is proposed to accelerate the method-of-moments (MoM) solution for three-dimensional (3-D) electromagnetic scattering analysis. At the finest level, the far-field contribution of each basis function is expressed with that of complex source beams (CSBs) distributed on the equivalent sphere surface for every group. Furthermore, the far field radiated by CSBs of the source group at child level can be represented by that radiated by CSBs of the source group at parent level. Similarly, the received field of CSBs for each observation group at the parent level can be expressed with that of CSBs belong to their child level group. An equivalent relationship of CSBs between every two adjacent levels is built to obtain the nested equivalent process for NCSB method, and only the CSBs at the finest level have the direct association with the basis functions in their group. The NCSB method is shown to be O(NlogN) computational complexity for both matrix-vector product (MVP) time and memory storage by numerical examples with appropriate parameters, and numerical results demonstrate the better efficiency of the proposed method than the current multilevel CSB method.