Reconstruction of Unknown Surface Profiles in Multilayered Media by Complex Images Green's Functions Technique

Abstract

Reconstruction of unknown surfaces profiles in multilayered media with a computationally efficient scheme is studied in this letter. The proposed inverse scattering scheme combines a fast and accurate forward scattering solver with an efficient optimization algorithm. The application of method of moments (MoM) to the integral equation formulation of the forward scattering problem employing complex images Green's functions has resulted in a fast and accurate method for determining the scattered field from unknown surface profiles in multilayered media. The unknown surface profiles are parameterized by B-spline functions with a finite number of unknown coefficients. The simulated annealing (SA) algorithm is then employed to solve the inverse scattering problem. Numerical results show the accuracy of the proposed scheme in the reconstruction of the unknown surface profiles even in noisy environments.