On the equivalence of the Newton-Kantorovich and distorted Born methods

DOI10.1088/0266-5611/16/1/101zbMath0969.65116OpenAlexW2017944826MaRDI QIDQ4950630

Robert F. Remis, Peter M. van den Berg

Publication date: 8 May 2001

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

Full work available at URL: https://doi.org/10.1088/0266-5611/16/1/101

zbMATH Keywords

integral operatorsNewton-Kantorovich methodindex of refractionnonlinear inverse scatteringdistorted Born methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Inverse scattering problems in quantum theory (81U40) Fredholm integral equations (45B05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (8)

Tests and problems of the standard model in cosmology ⋮ Theoretical forms of n-point galaxy correlation functions ⋮ Optical momentum and angular momentum in complex media: from the Abraham–Minkowski debate to unusual properties of surface plasmon-polaritons ⋮ Residual correction techniques for the efficient solution of inverse scattering problems ⋮ MiPhDUO: microwave imaging via physics-informed deep unrolled optimization ⋮ Target-Oriented Inversion of Time-Lapse Seismic Waveform Data ⋮ Regularization in ultrasound tomography using projection-based regularized total least squares ⋮ Relationships between correlation lengths and integral scales for covariance models with more than two parameters

This page was built for publication: On the equivalence of the Newton-Kantorovich and distorted Born methods