Parameter Estimation for Dielectric Media Variations Based on the FDTD Method and the Monge–Kantorovich Mass Transfer Problem

An efficient and consistent methodology is developed in this paper for the precise evaluation of unknown dielectric permittivity media parameters involved in the design of 3-D waveguide structures. In essence, the selected configuration is numerically solved for a set of predetermined permittivity values by means of a time-domain (herein, the finite-difference time-domain) technique at least twice, depending on the desired level of accuracy. Finally, implementing the Monge-Kantorovich mass transfer problem formulation, the required fields are rigorously evaluated for a broader range of values, as substantiated by the results obtained from various realistic arrangements.