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

M'Barek Fares, Serge Gratton, Philippe L Toint
2009 Inverse Problems  
A new 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. This efficient procedure is a variant and the linear sampling method and has a very acceptable computational load. At variance with previously published techniques where the solution is constructed as a regularized solution of the far-field equations using a variant of the Tikhonov-Morozov type, the new method uses a new
more » ... ace recovery method which exploits the combined presence of error in the operator and of eigenvalue clusters. The performance of the new technique on a battery of examples and its comparison with existing methods is shown to be promising.
doi:10.1088/0266-5611/25/9/095013 fatcat:zgnsq5eizje5xpkdj6u6b3isqa