Seeing behind Partially Reflecting Materials

Abstract

The proposed approach proved to be quite precise and efficient for a large variety of problem parameters. It belongs to the category of schemes that is dividable into two parts, known as Compute Once Use Many/Use Many (COUM/UM). In which the first part computing the complete orthonormal set of the polarization current is independent of the characteristics of the scattering medium (COUM). While the second part is an extremely rapid computation that is responsible for producing the fields for a specific choice of medium parameters (UM). All the current approaches in the literature are Compute Many Use Many (CMUM) approaches, in which, if a change happens to any problem parameter will result in necessarily recomputing the full approach from the beginning. Therefore, the COUM/UM characteristic of the proposed approach makes it far more efficient than the ones available in the literature. Especially when tackling problems wherein numerous instances of the scattered fields are needed to be calculated for various values of medium parameters like the inverse scattering presented problem.