A Multi-Resolution Computational Method to Solve Highly Non-Linear Inverse Scattering Problems

An innovative computational method to solve inverse scattering problems is proposed for retrieving the electromagnetic properties of unknown targets. The proposed technique is based on the contraction integral equation for inversion (CIE-I) method to mitigate multiple scattering contributions when imaging strong scatterers. More specifically, the CIE-I is integrated in an effective multi-resolution (MR) scheme to reduce the ratio between unknowns and non-redundant data as well as to exploit iteratively acquired information on the scenario for yielding higher-resolution reconstructions. Some preliminary numerical results are reported to assess the capabilities of the proposed MR-CIE-I method.