Publication: Compressive-sensing based method of moment for wide angle electromagnetic scattering problem of perfect electric conductor.
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Date
2025-02
Authors
Gao, Yalan
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Abstract
The method of moments, recognized as a highly effective numerical technique for analyzing electromagnetic scattering problems of objects, faces challenges in addressing electrically large problems due to substantial computational and storage demands. In the last decade, the compressive sensing-based method of moments (CS-MoM) has been proposed to overcome the aforementioned limitations. However, these reported models still confront numerous challenges, including unstable computational results, and low efficiency in wide-angle scattering problems. In this research, several novel strategies and methods are developed for the CS-MoM to address the mentioned challenges. For the bistatic scattering problems, a stabilized overdetermined equation-based CS-MoM (SCS-MoM) is developed, in which a fixed step extracting impedance matrix strategy is proposed to eliminate the instability of results, and the recovery algorithm is simplified into least-squares operation. For the wide-angle electromagnetic scattering problems, a direct solution scheme for the overdetermined equation-based CS-MoM (DCS-MoM) is proposed, which constructs a reduced matrix equation that enables a direct solution. Moreover, a dual-layer CS MoM (DL-CS-MoM) is developed to further enhance the computational efficiency of large-scale incident sources. In addition, the adaptive cross-approximation algorithm is incorporated into the above-proposed methods to improve computational efficiency and reduce memory consumption. A number of three-dimensional perfect electrical conductors with different shapes are modelled and simulated. Simulation results demonstrate that SCS-MoM achieves stable results and reduces the time for solving current coefficients by 80%. The proposed DCS-MoM reduces the memory consumption of the measurement matrix by 85% and the total computation time by 71%. The proposed DL-CS-MoM achieves a 55% reduction in total computation time, including a 99% reduction in the time required to fill the original excitation matrix.