Reconstruction of complex dielectric profiles via quadratic models

The electromagnetic inverse scattering problem deserves special attention in many branches of applied science. Besides theoretical uniqueness of a solution and limitations induced from measurement errors, the development of solution algorithms effectively capable to retrieve the unknown parameters in a reliable way should be addressed. In order to discuss factors affecting accuracy and reliability of solution algorithms the authors refer in the following, by the sake of simplicity, to a two dimensional (2D) geometry. All results can be extended to the 3D case. The authors consider an inhomogeneous object, whose compact support is Ω, imbedded in an homogeneous medium. Equations are developed for the scattered field. The inverse scattering problem is solved by a quadratic model