Estimation of the parameters of 2D Debye dispersive media using a time-domain inverse scattering technique

A time-domain inverse scattering method for the reconstruction of inhomogeneous dispersive media described by the Debye model is presented. The estimation of the parameters characterizing the scatterer is based on the minimization of a cost function, which describes the discrepancy between measured and estimated values of the electric field. Applying the calculus of variations, we derive the Fréchet derivatives with respect to the scatterer properties, which can be utilized by any gradient-based optimization technique. Numerical results for the reconstruction of two-dimensional Debye scatterer using the Polak-Ribière algorithm exhibit the efficiency of the proposed method.