Reflectors in wave equation imaging

DOI10.1016/j.wavemoti.2008.01.001zbMath1231.78030OpenAlexW2028648507MaRDI QIDQ661664

Frank Natterer

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2008.01.001

zbMATH Keywords

Born approximationnonlinear reconstructionacoustic imaging

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (6)

Inverse problems of 3D ultrasonic tomography with complete and incomplete range data ⋮ Inverse scattering as nonlinear tomography ⋮ Sonic Imaging ⋮ Ray statement of the acoustic tomography problem ⋮ Wave propagation from lateral Cauchy data using a boundary element method ⋮ Tomographic inverse problems: theory and applications. Abstracts from the workshop held January 27 -- February 2, 2019

Cites Work

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• Stability in diffraction tomography and a nonlinear ``basic theorem
• Mathematical Methods in Image Reconstruction
• Enhanced angular resolution from multiply scattered waves
• An error bound for the Born approximation

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