Iterative method for multi-dimensional inverse scattering problems at fixed frequencies

DOI10.1088/0266-5611/10/3/006zbMath0805.35153OpenAlexW2053197903MaRDI QIDQ4302228

Michael V. Klibanov, Semion Gutman

Publication date: 14 August 1994

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

Full work available at URL: https://doi.org/10.1088/0266-5611/10/3/006

zbMATH Keywords

quasi-Newton methodBorn approximationscattering by inhomogeneities

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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Looking Back on Inverse Scattering Theory ⋮ An efficient iterative method for reconstructing the refractive index in complex domains from far field data ⋮ A new non-iterative singular sources method for the reconstruction of piecewise constant media. ⋮ Sonic Imaging ⋮ Regularized quasi-Newton method for inverse scattering problems ⋮ High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization

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