Uniqueness of two phaseless inverse acoustics problems in 3-d

2013/03/29 by Michael V. Klibanov, Klibanov, Michael V.
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1303.7384

arxiv created 2013/03/29 · arxiv updated 2013/04/01

Abstract

Uniqueness is proven for two 3-d inverse problems of the determination of the spatially distributed sound speed in the frequency dependent acoustic PDE. The main new point is the assumption that only the modulus of the scattered complex valued wave field is measured on a certain set.

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• Phaseless inverse scattering problems in 3-d
• Uniqueness of a phaseless inverse scattering problem for the generalized 3-D Helmholtz equation
• Uniqueness in inverse scattering problems with phaseless far-field data at a fixed frequency
• Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency
• Uniqueness in inverse acoustic scattering with phaseless near-field measurements