大规模有限周期阵列电磁特性高效分析方法  

An Efficient Method for Electromagnetic Characteristics of Large-Scale Finite Periodic Array

作　　者：张胜 杜平 郑罡 ZHANG Sheng;DU Ping;ZHENG Gang(School of Microelectronics,Hefei University of Technology,Hefei 230009,China;The State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,Ministry of Natural Resources,Hangzhou 310012,China)

机构地区：[1]合肥工业大学微电子学院,合肥230009 [2]自然资源部第二海洋研究所卫星海洋环境动力学国家重点实验室,杭州310012

出　　处：《微波学报》2021年第3期47-51,共5页Journal of Microwaves

基　　金：国家自然科学基金(41676167)。

摘　　要：宏块-特征基函数法(MB-CBFM)是一种分析大规模有限周期结构电磁特性的数值方法,其CPU时间和内存需求均为O(N),其中N是周期阵列的总未知量数。该方法中,周期单元被分成P类宏块。最终得到一个有PK个未知数的压缩矩阵方程,其中K为每个单元上的RWG基函数个数。虽然压缩矩阵计算利用了周期性,然而阻抗元素仍采用矩量法计算,阻抗矩阵的填充较为耗时。文章采用快速偶极子法加速压缩矩阵产生。快速偶极子法将相互作用的偶极子间距离用泰勒级数展开,阻抗元素计算效率相比传统矩量法更高。数值结果显示所提算法的结果与宏块-特征基函数法的结果以及FEKO仿真结果吻合良好,验证了所提方法的精度,同时计算时间显著降低。The macro block-characteristic basis function method(MB-CBFM) is a numerical method for analyzing the electromagnetic characteristics of large-scale finite periodic array. In this technique, the CPU time and memory requirement are O(N), where N is the total number of unknowns of the array. The unit cells in the finite periodic array are divided into P categories of the macro blocks. Finally, a reduced matrix equation with PK unknowns can be obtained, where K is the number of the elementary basis functions on the block. Although the calculation of the reduced matrix uses periodicity, the impedance element is still calculated by the method of moments and the filling of the impedance matrix is time-consuming. In this paper, the fast dipole method is used to accelerate the generation of the reduced matrix. The fast dipole method expands the distance between the interacting dipoles with Taylor′s series, and the calculation efficiency of impedance elements is higher than that of the conventional method of moments. Numerical results show that the results of the proposed algorithm are in good agreement with those of the MB-CBFM and the FEKO. At the same time, the CPU time is significantly reduced.

关 键 词：宏块-特征基函数 快速偶极子法 周期阵列 散射 

分 类 号：O441[理学—电磁学]