On sparsity-enforced microwave inverse scattering

National audienceA sparse nonlinear inverse scattering problemarising in microwave imaging is analyzed and numericallysolved for reconstructing dielectric contrast of region of interestfrom measured fields. The proposed approach is motivated bya Tikhonov functional incorporating a sparsity promoting l1-penalty term. The proposed iterative algorithm of soft shrinkagetype enforces the sparsity constraint at each nonlineariteration in reconstructing dielectric profiles