A Smart Convenient Rewriting of the Inverse Scattering Equations for the 3D Scalar Problem

The contribution addresses the tridimensional inverse scattering scalar problem, by introducing a new smart rewriting of the scattering equations such to reduce the degree of nonlinearity of the inverse problem. The analysis of the norm of the relevant internal radiation operator is performed in comparison with the standard one. This analysis can open the way for exploring new possibilities and opportunities for imaging and detection of unknown targets.