将基于超基元函数的模拟模型与压缩传感相结合,快速分析宽带电磁散射问题

IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Zhonggen Wang;Chenwei Li;Yufa Sun;Wenyan Nie;Xuejun Zhang;Pan Wang
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引用次数: 0

摘要

基于超基函数(HBF)的 MoM 已被证明是一种分析宽带电磁散射问题的高效数值方法。然而,这种方法需要花费大量时间来重建每个频点的阻抗矩阵和还原矩阵。为了解决上述问题,本文提出了一种结合基于 HBF 的 MoM 和压缩传感(CS)的新方法。该方法首先应用在最高频率点得到的特征模态(CM)作为 HBF 来解决较低频率点的散射问题,并对感应电流进行稀疏变换作为 CS 框架的稀疏基础。然后采用按行均匀提取阻抗矩阵的方法构建测量矩阵,从而获得稳定的计算结果。最后,根据几个 CM 就足以近似表征表面电流的先验条件,采用简化的最小二乘法来重建电流系数的恢复算法。数值模拟结果表明,与基于 HBF 的 MoM 相比,它能显著提高解决宽带电磁问题的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fast Analysis of Broadband Electromagnetic Scattering Problems by Combining Hyper Basis Functions-Based MoM With Compressive Sensing
The hyper basis functions (HBF)-based MoM has been proven to be an efficient numerical method to analyze broadband electromagnetic scattering problems. However, this method costs a lot of time to reconstruct the impedance matrix and reduced matrix at each frequency point. In order to solve the above problem, a novel method combining HBF-based MoM and compressive sensing (CS) has been proposed in this paper. The proposed method first applies the characteristic modes (CM) derived at the highest frequency point as the HBF for solving the scattering problems at lower frequency points, and performs sparse transform of the induced currents as the sparse basis for the CS framework. Then the measurement matrix is constructed using the method of uniformly extracting the impedance matrix by rows to obtain stable calculation results. Finally, according to the prior condition that a few CM are sufficient to characterize the surface currents approximately, the recovery algorithm is simplified least square method to reconstruct the current coefficients. Numerical simulation results show that it can significantly improve the efficiency of solving broadband electromagnetic problems compared with HBF-based MoM.
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来源期刊
CiteScore
4.30
自引率
0.00%
发文量
27
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