A quadratic RF Tomography inverse model for reflection configuration

Radio Frequency (RF) tomography (L. Lo Monte, D. Erricolo, F. Soldovieri, M.C. Wicks, “Radio Frequency Tomography for Tunnel Detection,” IEEE Trans. Geoscience and Remote Sensing, Vol. 48, No. 3, Mar. 2010, pp. 1128–1137) aims at imaging targets in a scene starting from the measurements of the scattered field under the illumination of known incident fields. Therefore, such an imaging method shares the classical issues of inverse scattering problems such as ill-posedness and non-linearity. These mathematical questions, if not properly addressed, have a detrimental effect on the reliability and accuracy of the solution by impairing the outcomes of the overall imaging procedure.