Numerical studies of the inverse Born series for diffuse waves

DOI10.1088/0266-5611/25/9/095007zbMath1173.35734OpenAlexW2046458269MaRDI QIDQ3182390

Shari Moskow, John C. Schotland

Publication date: 8 October 2009

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

Full work available at URL: https://semanticscholar.org/paper/85c38006d32a9b6ffd07edf063a7c355cd311740

zbMATH Keywords

diffusive wavesinverse Born series

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in Section 78-XX) (78A97)

Related Items (9)

The D-Bar Method for Diffuse Optical Tomography: A Computational Study ⋮ Inverse design of anti-reflection coatings using the nonlinear approximate inverse ⋮ Analysis of the inverse Born series: an approach through geometric function theory ⋮ Uniqueness, Born approximation, and numerical methods for diffuse optical tomography ⋮ Norm-dependent convergence and stability of the inverse scattering series for diffuse and scalar waves ⋮ The inverse Rytov series for diffuse optical tomography ⋮ A direct method for nonlinear ill-posed problems ⋮ Modified forward and inverse Born series for the Calderon and diffuse-wave problems ⋮ A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data

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