A regularized Newton method for locating thin tubular conductivity inhomogeneities

DOI10.1088/0266-5611/27/11/115008zbMath1252.78011OpenAlexW1999669853MaRDI QIDQ3103933

Roland Griesmaier, Nuutti Hyvönen

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1088/0266-5611/27/11/115008

zbMATH Keywords

inverse problemregularized Newton methodFréchet dervative

Mathematics Subject Classification ID

Electro- and magnetostatics (78A30) Optimization problems in optics and electromagnetic theory (78M50) Asymptotic analysis in optics and electromagnetic theory (78M35) Numerical methods for variational inequalities and related problems (65K15)

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Analysis of MUSIC-type imaging functional for single, thin electromagnetic inhomogeneity in limited-view inverse scattering problem ⋮ Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies ⋮ Maximizing the Electromagnetic Chirality of Thin Dielectric Tubes ⋮ Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks in full- and limited-view inverse scattering problems ⋮ An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering ⋮ Asymptotic properties of MUSIC-Type Imaging in Two-Dimensional Inverse Scattering from Thin Electromagnetic Inclusions

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