The Debye model with multiple relaxation times is most suitable for highly accurate description of the dispersion characteristics of many media
such as biological tissues
soil
and water
among the developed empirical models.In order to reconstruct the electromagnetic properties of these dispersive media simultaneously
a modified time-domain inverse scattering technique is presented.Firstly
in the proposed technology
the nonlinearity and ill-posedness of the inverse problem is circumvented by an iterative method and the Tikhonov's regularization
respectively.Secondly
a set of closed gradients (Frchet derivatives) of its cost functional with respect to objective parameters are derived for the aforementioned inverse problem.Then
the finite-difference time-domain (FDTD) method and any conjugate gradient (CG) method is applied
at its each iteration
to solve the resulting forward and backward sub-problem
respectively.Lastly
the feasibility and robustness for the inversion technique are preliminarily confirmed by two one-dimensional (1-D) numerical examples where a model of the additive white Gaussian noise (AWGN) is considered.