Linear distribution-based retrieval of underground voids

This paper deals with the problem of determining the shape of unknown scattering voids embedded in a homogeneous half-space from the measurements of the magnetic scattered field over a measurement domain parallel to the air-soil interface. The formulation accommodates the distributional nature of the induced surface equivalent current densities. Thus, as unknown, a single layer distribution whose support accounts for the boundary of the scatterers is chosen and is reconstructed by a singular value decomposition based algorithm. Numerical examples resulting from the application of such algorithm are presented.