Finite-difference time-domain formulation of an inverse scattering scheme for remote sensing of inhomogeneous lossy layered media: Part I - One dimensional case

Abstract

The inverse scattering problem of determining the electromagnetic characteristics, namely, conductivity, permittivity and permeability profiles of an inhomogeneous one-dimensional layered medium is presented in the time domain utilizing the layer-stripping procedure. A fully explicit numerical algorithm is proposed for simultaneous extraction of the electrical parameters by simulating a real-time wave propagation and scattering based on the Finite-Difference Time-Domain method. This yields an efficient profile inversion technique suitable for layered medium synthesis. Examples of the one-dimensional conductivity and permittivity profile inversions are also presented including the depth of the medium probed.