A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium

DOI10.1088/1361-6420/ab4d98zbMath1433.78016arXiv1907.07423OpenAlexW3105135152MaRDI QIDQ5210431

Kamran Sadiq, Hiroshi Fujiwara, Alexandru Tamasan

Publication date: 20 January 2020

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

Full work available at URL: https://arxiv.org/abs/1907.07423

zbMATH Keywords

scatteringHilbert transformoptical tomographyattenuated Radon transformattenuated x-ray transformBukhgeim-Beltrami equationA-analytic maps

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (45K05) Biomedical imaging and signal processing (92C55) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inverse problems for PDEs (35R30) Radon transform (44A12) Diffraction, scattering (78A45) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Integro-partial differential equations (35R09)

Related Items (6)

Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation ⋮ Numerical Reconstruction of Radiative Sources in an Absorbing and Nondiffusing Scattering Medium in Two Dimensions ⋮ Numerical Reconstruction of Radiative Sources from Partial Boundary Measurements ⋮ Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation ⋮ Parameter Reconstruction for General Transport Equation ⋮ Inverse source problems in transport equations with external forces

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