基于压缩感知的目标频空电磁散射特性快速分析

摘要

Method of moments (MOM) is a common numerical method for solving electromagnetics, which is used widely owing to its high accuracy. As the traditional MOM is applied to solving electromagnetic problem in both spatial and frequency domains, the matrix equation generated from the integral equation must be solved repeatedly since small spatial increments and frequency increments are both required. To resolve problems of this kind, the compressive sensing (CS) theory combined with the asymptotic waveform evaluation (AWE) is introduced to form a new efficient computational method. Firstly, a new incident source is constructed based on CS theory, in which much spatial information is included. Secondly, illuminated by the new incident source, the new equation is solved by AWE technique, and finally a fast implement is formed for solving electromagnetic scattering characteristics in both spatial and frequency domains.%矩量法是求解目标电磁散射问题的一种常用数值方法，因其精度较高而被广泛应用。应用矩量法求解目标频空电磁散射特性时，随着入射波的角度和频率的变化，需要间隔很小的角度和频率步长反复求解矩量法生成的矩阵方程，运算量极大。为解决此类问题，本文结合压缩感知理论和渐近波形估计形成一种新的有效计算方法。首先，基于压缩感知理论引入一种富含空间信息的新型入射源，其次，在该入射源照射下应用渐近波形估计技术求解，从而快速实现目标频空电磁散射特性分析。