A fully no-sampling formulation of the linear sampling method for three-dimensional inverse electromagnetic scattering problems

We describe a very fast and automatic formulation of the linear sampling method for three-dimensional electromagnetic inverse scattering problems. This formulation is an extension of a no-sampling implementation recently proposed for two- dimensional configurations. In this 3D framework, regularization occurs independently not only of the sampling point but even of the polarization of the fundamental solution used as known term. Furthermore, a very effective automatic procedure for the selection of the optimal surface describing the scatterer is introduced.