KAUST Grant NumberKUS-C1-016-04
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AbstractIn this work we present a novel sampling method for time harmonic inverse medium scattering problems. It provides a simple tool to directly estimate the shape of the unknown scatterers (inhomogeneous media), and it is applicable even when the measured data are only available for one or two incident directions. A mathematical derivation is provided for its validation. Two- and three-dimensional numerical simulations are presented, which show that the method is accurate even with a few sets of scattered field data, computationally efficient, and very robust with respect to noises in the data. © 2012 IOP Publishing Ltd.
CitationIto K, Jin B, Zou J (2012) A direct sampling method to an inverse medium scattering problem. Inverse Problems 28: 025003. Available: http://dx.doi.org/10.1088/0266-5611/28/2/025003.
SponsorsThe authors would like to thank two anonymous referees and the board member for their helpful and constructive comments, which have led to a much improved presentation of the results. The work of BJ was supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ was substantially supported by Hong Kong RGC grants (projects 405110 and 404611).