Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-dimensional Electromagnetism. Part I: One Step Method
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Publication:3130747
DOI10.1137/17M1113850zbMath1391.35423OpenAlexW2745778491MaRDI QIDQ3130747
María-Luisa Rapún, Frédérique Le Louër
Publication date: 26 January 2018
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1113850
Numerical optimization and variational techniques (65K10) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (14)
Topological imaging methods for the iterative detection of multiple impedance obstacles ⋮ Topological derivative for imaging of thin electromagnetic inhomogeneity: least condition of incident directions ⋮ Investigation of a non-iterative technique based on topological derivatives for fast localization of small conductivity inclusions ⋮ Direct sampling method for identifying magnetic inhomogeneities in limited-aperture inverse scattering problem ⋮ When topological derivatives met regularized Gauss-Newton iterations in holographic 3D imaging ⋮ Detection of multiple impedance obstacles by non-iterative topological gradient based methods ⋮ Improvement of direct sampling method in transverse electric polarization ⋮ Processing the 2D and 3D Fresnel experimental databases via topological derivative methods ⋮ Application of the topological derivative to post-processing infrared time-harmonic thermograms for defect detection ⋮ Analysis of topological derivative as a tool for qualitative identification ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-Dimensional Electromagnetism. Part II: Iterative Method ⋮ Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency ⋮ An extended direct factorization method for inverse scattering with limited aperture data ⋮ A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects
Uses Software
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