Abstract:This paper is concerned with the inverse acoustic scattering problem with phaseless near-field data at a fixed frequency. An approximate factorization method is developed to numerically reconstruct both the location and shape of the unknown scatterer from the phaseless near-field data generated by incident plane waves at a fixed frequency and measured on the circle ∂B R with a sufficiently large radius R. The theoretical analysis of our method is based on the asymptotic property in the operator norm from H 1/2… Show more
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