Advances in microwave tomography: phaseless measurements and layered backgrounds

A new approach for electromagnetic imaging of scatterers enclosed in a stratified media from only intensity data is proposed and discussed. The developed procedure splits the problem in two different steps. In the first one a phase retrieval problem is solved for the total field, thus estimating the scattered field. Then, the complex permittivity profile is reconstructed in the second step by using the estimated scattered field. Numerical examples are provided in order to check the whole chain (which is done in the case of scatterers located in free space) and a specific inverse scattering procedure capable to deal with a three layers background.