Research on Scatter Imaging Method for Electromagnetic Field Inverse Problem Based on Sparse Constraints

Abstract

Since the dimension of the measured scattering field is usually much smaller than the dimension of the unknown parameter, this makes the electromagnetic field integral equation ill-conditioned, and the solution of the equation can be obtained using sparse constraint regularization. For this reason, this paper introduced a nonlinear electromagnetic field inverse scattering imaging algorithm under sparse domain, namely: sparse constraints subspace optimization method (SP-SOM) algorithm, the algorithm is used to reconstruct the spatial distribution information of electrical performance parameters of multi-media targets. To use the inexact Newton method, it can be handled that the scattered field equations is reconstructed using the SP-SOM algorithm. The simulation results show that SP-SOM algorithm can effectively reconstruct the spatial distribution information of electrical performance parameters.