An Approximate Technique for Solving the Time-Domain Inverse Scattering Problem of a Stratified Medium

Abstract

This paper deals with the inverse problem of estimating the refractive-index profile of a lossless stratified medium by using back-scattering responses of pulsed waves.In the reconstruction procedure, the stratified medium is approximated by a multilayered model, and back-scattering responses from the estimated profile is obtained in a sense of geometrical optics.Introducing a cost functional concerning the responses from the estimated profile and the responses from the true profile, we can derive a simultaneous equation to update iteratively the refractive index of each layer of the model.Two-layered slabs and a five-layered slab located in free space are reconstructed, and the validity of the presented technique is numerically investigated.