Inverse scattering problem for the tensor fields in a coordinate-free representation

DOI10.1142/S1793557123502297MaRDI QIDQ6650944

A. L. Balandin

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transforminverse scatteringdiffraction tomographyBorn approximationtensor Green's function

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Cites Work

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• Integral geometry for tensor fields. Transl. from the Russian
• Support theorems for the transverse ray transform of tensor fields of rank \(m\)
• Principles of computerized tomography imaging
• Mathematical foundations of imaging, tomography and wavefield inversion.
• Inverse Acoustic and Electromagnetic Scattering Theory
• Diffraction tomography of strain
• Integral transform techniques for Green's function

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