基于矩阵降维的MoM-PO电磁散射混合算法

doi:10.12305/j.issn.1001-506X.2023.08.11

摘要/Abstract

摘要：

针对包含精细结构的电大尺寸目标电磁散射快速计算问题, 提出了一种计算包含精细结构的电大尺寸目标电磁散射问题的基于矩阵降维的混合算法。该方法在Rao-Wilton-Glisson基函数矩量法(method of moment, MoM)的基础上, 对目标区域进行划分, 完成阻抗矩阵的分块和未知量的分离, 再由矩量区与物理光学(physical optics, PO)区之间的电流相互作用构造耦合转移矩阵和激励转移矩阵, 从而建立两个区域未知量之间的线性关系, 进而完成对阻抗矩阵的降维, 最终从矩阵运算角度构建了一种MoM-PO混合算法。其中, 使用等效电偶极子模型简化双重积分计算, 进一步减少矩阵元素的计算量; 阻抗矩阵的阶数大幅减少, 避免了大规模矩阵方程的求解计算。算例结果表明, 与传统的低频算法相比, 该算法既保证了计算精度, 又提高了计算效率。

关键词: 矩量法, 物理光学法, 矩阵降维, 混合算法, 电偶极子

Abstract:

A hybrid algorithm based on matrix dimension reduction is proposed to calculate the electromagnetic scattering problem of electrically large targets with fine structures. Using the Rao-Wilton-G1isson (RWG) basis function, this method divides the target area based on method of moments (MoM), so as to divide the impedance matrix into blocks and separate the unknown values. The coupling transfer matrix and excitation transfer matrix are constructed from the current interaction between the moment region and the physical optics (PO) region, and the linear relationship between the unknown values in the two regions is established, thereby completing the dimension reduction of impedance matrix. Finally, a MoM-PO hybrid algorithm is constructed from the perspective of matrix operation. The equivalent electric dipole model is used to simplify the double integral calculation and further reduce the calculation amount of matrix elements. In the end, the order of impedance matrix is greatly reduced, avoiding the calculation of large-scale matrix equation. Numerical results show that compared with the traditional low-frequency algorithm, the proposed algorithm not only ensures the computational accuracy but also improves the computational efficiency.

Key words: method of moments (MoM), physical optic (PO), matrix dimension reduction (MDR), hybrid algorithm, electric dipole

中图分类号:

O0441.4

李建周, 张海轩, 陈书慧. 基于矩阵降维的MoM-PO电磁散射混合算法[J]. 系统工程与电子技术, 2023, 45(8): 2377-2382.

Jianzhou LI, Haixuan ZHANG, Shuhui CHEN. Hybrid algorithm of MoM-PO for electromagnetic scattering based on matrix dimension reduction[J]. Systems Engineering and Electronics, 2023, 45(8): 2377-2382.

图/表 5

参考文献 31

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