新型特征模基函数构造加速目标电磁散射分析  

Novel Characteristic Mode Basis Functions Construction Accelerating Electromagnetic Scattering of Electrically Large Objects

作　　者：王仲根[1] 郭飞 孙玉发[2] 王攀 聂文艳 高晓嵩 WANG Zhonggen;GUO Fei;SUN Yufa;WANG Pan;NIE Wenyan;GAO Xiaosong(School of Electrical and Information Engineering,Anhui University of Science and Technology,Huainan Anhui 232001,China;School of Electronic Information Engineering,Anhui University,Hefei Anhui 230601,China;College of Mechanical and Electrical Engineering,Huainan Normal University,Huainan Anhui 232001,China)

机构地区：[1]安徽理工大学电气与信息工程学院,安徽淮南232001 [2]安徽大学电子信息工程学院,安徽合肥230601 [3]淮南师范学院机械与电气工程学院,安徽淮南232001

出　　处：《安徽理工大学学报（自然科学版）》2022年第5期9-14,共6页Journal of Anhui University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(62071004);安徽省自然科学基金资助项目(2108085MF200);安徽高校自然科学重点项目(KJ2020A307);安徽理工大学研究生创新基金资助项目(2022CX2083);大学生创新创业训练计划项目(202210361054)。

摘　　要：针对特征模基函数法(CMBFM)在分析电大目标电磁散射特性时求解特征模基函数耗时长、缩减矩阵方程求解效率低等问题,提出一种新型特征模基函数构造方法。首先将目标划分为多个子域并扩展,分别计算每个扩展子域的特征模式,然后根据模式显著性筛选出有效模式作为特征模基函数,最后对特征模基函数进行奇异值分解增强基函数之间的正交性。应用新型特征模基函数构造的缩减矩阵的条件数得到显著降低,加快了缩减矩阵方程迭代求解速度。数值计算结果表明,与传统的CMBFM相比,该方法在分析电大目标电磁散射问题时,特征模基函数的构造效率和缩减矩阵迭代求解速度均得到显著提高,且具有较高的精确性。Long time spent in solving the characteristic mode basis functions(CMBFM)and low efficiency in solving the reduced matrix equation are always the problems of CMBFM in the analysis of electromagnetic scattering characteristics of electrically large objects,aiming at which a novel characteristic mode basis function construction method was proposed.Firstly,the object was divided into several extended subdomains and the characteristic modes of each extended subdomain were calculated respectively.Secondly,the effective modes were selected as the characteristic mode basis functions according to the significant modes.Finally,the singular value decomposition was applied to the characteristic mode basis functions to enhance the orthogonality between the basis functions.The condition number of the reduced matrix constructed with the novel characteristic mode basis functions was significantly reduced and the iteration process was accelerated.The numerical results demonstrate that the method is significantly more effective than the traditional CMBFM in the analysis on the electromagnetic scattering of electrically large objects,improving the construction efficiency of the characteristic mode basis functions and the speed of the reduced matrix iterative solution,as well as achieving a high degree of accuracy.

关 键 词：特征模基函数法 奇异值分解 电磁散射 电大目标 

分 类 号：TN011[电子电信—物理电子学]