Sparsity promotion and inverse source problems for qualitative reconstruction of buried targets

Abstract

A novel strategy is proposed to achieve qualitative characterization of penetrable and impenetrable objects buried in lossy soils. The approach, aimed to support reconstruction, is based on the consideration that for high conductivity and dielectric scatterers, induced and ‘equivalent’ currents can be considered localized on the boundary. In particular, an ad hoc sparsity promoting inversion approach which also allow to enforce congruence amongst the different currents is proposed to localize and retrieve the shape of the unknown objects.