Reconstruction of one dimensional multilayered media by using a time domain signal flow graph technique

Abstract

A novel inverse scattering method to reconstruct the permittivity profile of one-dimensional multi-layered media is proposed in this paper. Based on the equivalent network of the medium, a concept of time domain signal flow graph and its basic principles are introduced, from which the reflection coefficient of the medium in time domain can be shown to be a series of Dirac δ-functions(pulse responses). In terms of the pulse responses, we will reconstruct both the permittivity and the thickness of each layer will accurately be reconstructed. Numerical examples verify the applicability of this method.