Differential imaging of local perturbations in anisotropic periodic media

DOI10.1088/1361-6420/AB2066zbMath1435.78014arXiv1811.03460OpenAlexW2962723957WikidataQ127900843 ScholiaQ127900843MaRDI QIDQ5220305

Thi-Phong Nguyen

Publication date: 16 March 2020

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

Full work available at URL: https://arxiv.org/abs/1811.03460

zbMATH Keywords

transmission eigenvalueslocal perturbationdifferential imaging\(T\) coercivityanisotropic periodic media

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Related Items (6)

Imaging of bi-anisotropic periodic structures from electromagnetic near-field data ⋮ Analysis of sampling methods for imaging a periodic layer and its defects ⋮ A novel method in determining a layered periodic structure ⋮ On the inverse scattering from anisotropic periodic layers and transmission eigenvalues ⋮ A new sampling indicator function for stable imaging of periodic scattering media ⋮ Fast imaging of local perturbations in a unknown bi-periodic layered medium

Cites Work

• Identifying defects in an unknown background using differential measurements
• Inverse scattering of elastic waves by periodic structures: uniqueness under the third or fourth kind boundary conditions
• On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem
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• A complete factorization method for scattering by periodic surfaces
• Inverse Scattering Theory and Transmission Eigenvalues
• Factorization Method for Electromagnetic Inverse Scattering from Biperiodic Structures
• On the identification of defects in a periodic waveguide from far field data
• A volume integral method for solving scattering problems from locally perturbed infinite periodic layers
• Reconstruction of local perturbations in periodic surfaces
• New interior transmission problem applied to a single Floquet–Bloch mode imaging of local perturbations in periodic media
• A generalized formulation of the linear sampling method with exact characterization of targets in terms of farfield measurements

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