Algorithm of the Search for Inhomogeneities in the Inverse Nonlinear Diffraction Problems

Abstract

This study is aimed at the solution of the inverse problem used for determining the inhomogeneity of an object. The scattered field is measured beyond its limits with a certain set of observation points. It is assumed that the radiation source and the observation points are located outside the object under investigation. The scattered field is modeled as the result of solution of the direct problem. For solving the inverse problem, a two-step method is employed. The application of various types of nonlinearities is considered. The computational grid is introduced using the generalized grid method. A numerical method for solving this problem is proposed and implemented. The numerical results reported here demonstrate the solution to the problem for preset experimental data.