Application of signal-subspace and optimization methods in reconstructing extended scatterers.

A signal-subspace approach to reconstruct the permittivities of extended scatterers in two-dimensional settings is proposed. A portion of the scatterers' information is retrieved by the signal-subspace method, and the remaining part is obtained by solving a nonlinear least-squares problem. The method exhibits several strengths, including robustness against noise, fast convergence, less scattering data, high resolution, and the ability to deal with scatterers of special shapes.

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