Solving 1D Inverse Scattering Problem for Media and Materials Profiling

The inverse problem at hand tackles the reconstruction of the dielectric profile of a slab. To this end, single-view multi-frequency configuration is exploited, wherein the scattered field can be collected in reflection (single antenna) and in transmission (two antennas) mode. As it is well known, besides being ill-posed, the problem is also non-linear, thus requiring local or global optimization schemes which could be trapped into false solutions. This drawback is completely avoided if inversion methods based on some classical linear scattering models are employed. However, by doing so, the cost to pay is that the class of retrievable profiles for which they work is extremely narrow. In this contribution we analyse a possible effective strategy to enlarge the class of retrievable profiles.