An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation

DOI10.1137/22m1538909arXiv2212.02798OpenAlexW4391435958MaRDI QIDQ6202926

Otmar Scherzer, Bochra Méjri

Publication date: 27 February 2024

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.02798

zbMATH Keywords

shear/pressure wavesFourier diffraction theorembackprojection formulaelastic diffraction tomographyk-space coverage

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25)

Cites Work

• Unnamed Item
• Linearized inverse scattering problems in acoustics and elasticity
• Mathematical Methods in Image Reconstruction
• Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
• Inverse scattering problems with multi-frequencies
• Distributions and Operators
• Limiting absorption principles for the Navier equation in elasticity
• Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity
• Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations

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