Wavelet-based method for nonlinear inverse scattering problem using least mean square estimation

摘要

In this paper; we present an approach to nonlinear inverse scattering problem using wavelets and least square estimation. Considering a slab of inhomogeneous medium an algorithm is designed to find the medium parameters in terms of scattered electromagnetic fields. The parameters are defined in terms of linear and nonlinear components of susceptibility and permeability. Algorithms are proposed for solving the parameters that characterize the inho-mogeneous medium by first determining an approximate expansion for the scattered EM fields (forward scattering) using Maxwell's equations. Posing the problem using wavelet basis functions in Method of Moment the inverse solutions and parameters are obtained in terms of the basis functions Inverse problems arise in medical data, seismic data, geophysical prospecting and many more applications. This paper demonstrates the analysis and algorithm for the estimation of parameters using inverse scattering technique.