A new approach in identification of dielectric constants

In this note, we present a time domain approach for study of electromagnetic inverse problems. Maxwell´s equations coupled with a generalized dispersion model are considered. The dispersion model is an electric polarization equation given in terms of a convolution of the electric field with an impulse response function. Well posedness is presented for a one-dimensional dispersive medium case. Reconstruction (identification) of electromagnetic property profiles of media is demonstrated via numerical examples. Parameters representing the electromagnetic property of a medium are the static permittivity, relaxation time, natural frequency, static conductivity, etc. The number of parameters involved depend on the choice of parameterization in the polarization equation