%L elediasc12805
%T A Robust Multi‐Resolution Approach for Solving Fully Non‐Linear Inverse Scattering Problems
%K Inverse Scattering, Microwave Imaging, Iterative Multi-Scaling Approach, New Integral Equation
%I ELEDIA Research Center - University of Trento
%A Marco SALUCCI
%A Alessandro POLO
%A Andrea MASSA
%X The solution of highly non‐linear inverse scattering (IS) problems is dealt with in this work. More in detail, an innovative IS strategy is introduced to tackle the ill‐posedness and non‐linearity issues, allowing to remarkably overcome the limitations of state‐fo‐the‐art methods based on the classical Lippmann‐Schwinger Integral Equation (LSIE) formulation. It is based on the effective integration of a New Integral Equation (NIE) method with a multi‐resolution scheme (i.e., the Iterative Multi‐Scaling Approach ‐ IMSA). The arising IMSA‐NIE method is able to adaptively increase the resolution only in those sub‐regions of the imaged domain where the presence of an unknown target has been previously detected. Moreover, it allows to robustly retrieve images of strong scatterers even in presence of significant noise components on the scattered field used to make the inversions. Numerical results are shown to validate the effectiveness of the approach under several operative conditions involving several signal‐to‐noise ratios and considering different values of relative permittivity of the unknown target.