Shape reconstruction algorithm for buried objects and cavities

The inverse problem addressed in this paper is that of recovering the contour of unknown "strongly conducting scatterers" buried in the subsurface starting from the knowledge of the scattered field collected at the air-soil interface. Under the Physical Optics approximation, the scattering from perfect conductors is described by surface induced electric currents which form the density of a single layer distribution whose support is the scatterers\´ illuminated side. The imaging problem is then dealt with as the reconstruction of such distribution and faced by means of the Singular Value Decomposition approach. The same approach is also applied to the reconstruction of the shape of underground cavities.