An Imaging Method Based on Sparse Constrained Nonlinear Electromagnetic Field Inverse Scattering

This paper proposes a nonlinear electromagnetic field inverse scattering imaging method under sparse domain, and applies this method to the spatial distribution information of electrical performance parameters for reconstructing multi-media targets. 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 proposes a nonlinear algorithm in sparse domain, which is named as SP-CS algorithm (Sparse Constraints-Contrast Source). The solution of the scattered field equations of the algorithm can be computed by an inexact Newton method.