A Prior Parameter Extraction Method for the Solution of Wide-Angle Electromagnetic Scattering Problems Based on Compressed Sensing

Abstract

A fast solution for electromagnetic scattering problems over a wide incident angle based on compressed sensing (CS) was proposed in recent years. Since current expansion coefficients are not known in advance, the parameters of this solution (e.g., the times of measurements, the selection of sparse transforms) for different scattering objects are difficult to determine. In order to solve this problem, this paper presents a prior parameter extraction method based on the principle of on-surface discretized boundary equation (OS-DBE), in which an approximate distribution of current expansion coefficients at any given point of the scatterer is first obtained with low-coverage and low-complexity, and then the prior parameters can be determined by CS tests for the approximate result. The implementation method is elaborated, and its effectiveness is verified by numerical results.