Synyavskyy A. Mathematical models for increase of efficacy of estimate of inhomogeneous medium parameters from known distribution of scattered electromagnetic field

The thesis is dedicated to analysis of electromagnetic wave propagation through inhomogeneous media in order to create estimation methods of the media parameters starting from a distribution of scattered electromagnetic field. The main attention is paid to a question of development of appropriate electromagnetic wave scattering models to solve inverse scattering problems. For solving to the one-dimensional inverse scattering problems the wave propagation in inhomogeneous medium is described by a model of potential scattering. For multidimensional cases, an approximated model is proposed in order to formulate a common sampling strategy for creation of methods to determinate boundary of contrast scatterers.