Localization of small PEG spheres by multiview/singie-frequency data: numerical results

In this paper the problem of determining the number and the locations of "small" PEC spheres from the knowledge of the scattered far-field is addressed. A multi-view/single-frequency configuration is considered. The multiple scattering between the spheres is neglected and their locations are represented as the supports of ¿-functions. This allows to cast the problem as the inversion of a linear integral operator with tbe ¿-functions being the unknwons of the problem. The inversion of the linear integral operator is achieved by means of the Truncated-Singular Value Decomposition (TSVD). The performances of the linear inversion algorithm against the model errors (i.e for situations where the multiple scattering is not negligible) and the presence of an Additive White Gaussian Noise (AWGN) are investigated by numerical simulations.