Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency

DOI10.3934/ipi.2020023OpenAlexW3013023750MaRDI QIDQ2188149

Xiaoxu Xu, Bo Zhang, Haiwen Zhang

Publication date: 4 June 2020

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05116

zbMATH Keywords

uniquenessinhomogeneous mediumobstacleinverse electromagnetic scatteringinverse acoustic scatteringphaseless near-field

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Composite media; random media in optics and electromagnetic theory (78A48) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

An iterative scheme for imaging acoustic obstacle from phaseless total-field data ⋮ Uniqueness and reconstruction method for inverse elastic wave scattering with phaseless data ⋮ Uniqueness in phaseless inverse electromagnetic scattering problem with known superposition of incident electric dipoles ⋮ Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory ⋮ The uniqueness of the inverse transmission problem with phaseless far field data at a fixed frequency

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