SVD-tail: A new linear-sampling reconstruction method for inverse scattering problems

A new efficient numerical procedure (SVD-tail) is proposed for the reconstruction of the shape and volume of unknown objects from measurements of their radiation in the far field. At variance with previously published linear-sampling methods where the solution is constructed as a regularized solution of the far-field equations using a variant of the Tikhonov-Morozov type, the new algorithm uses a new eigenspace recovery technique which exploits the combined presence of error in the operator and of eigenvalue clusters. Its performance on a battery of examples and its comparison with existing methods are shown to be promising. © 2009 IOP Publishing Ltd.