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We discuss two techniques for solving two-dimensional (2-D) inverse scattering problems by parameterizing the scattering configuration, and determining the optimum value of the parameters by minimizing a cost function involving the known scattered-field data. The computation of the fields in each estimated configuration is considered as an auxiliary problem. To improve the efficiency of these computations, the CGFFT iterative scheme is combined with a special extrapolation procedure that isdoi:10.1109/36.927455 fatcat:p24yvhxcq5c2zat66aaui5qru4