The factorization method in inverse scattering from periodic structures
From MaRDI portal
Publication:4460655
DOI10.1088/0266-5611/19/5/311zbMath1330.35519OpenAlexW2086203176MaRDI QIDQ4460655
Publication date: 18 May 2004
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/b2b7856536a335b0fe0e01a3c7c8dcecaeff52c7
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items (34)
Uniqueness results in the inverse scattering problem for periodic structures ⋮ Imaging of bi-anisotropic periodic structures from electromagnetic near-field data ⋮ The range test and the no response test for Oseen problems: theoretical foundation ⋮ Reconstruction of periodic gratings from one scattered wave ⋮ A novel method in determining a layered periodic structure ⋮ The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure ⋮ A sparsity-constrained sampling method with applications to communications and inverse scattering ⋮ A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation ⋮ Efficient finite element method for grating profile reconstruction ⋮ A linear sampling method for inverse problems of diffraction gratings of mixed type ⋮ Imaging of periodic dielectrics ⋮ Inverse medium scattering from periodic structures with fixed-direction incoming waves ⋮ On the inverse scattering from anisotropic periodic layers and transmission eigenvalues ⋮ Sampling methods for reconstructing the geometry of a local perturbation in unknown periodic layers ⋮ A new sampling indicator function for stable imaging of periodic scattering media ⋮ Inverse electromagnetic diffraction by biperiodic dielectric gratings ⋮ Periodic surface identification with phase or phaseless near-field data ⋮ Reverse time migration for imaging periodic obstacles with electromagnetic plane wave ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ Scattering in a partially open waveguide: the inverse problem ⋮ Near-Field Imaging of an Unbounded Elastic Rough Surface with a Direct Imaging Method ⋮ Inverse Scattering by a Random Periodic Structure ⋮ Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data ⋮ An integral equation for Maxwell's equations in a layered medium with an application to the factorization method ⋮ A Direct Imaging Method for Inverse Scattering by Unbounded Rough Surfaces ⋮ Sampling Methods ⋮ Factorization method for imaging a local perturbation in inhomogeneous periodic layers from far field measurements ⋮ Recovering unbounded rough surfaces with a direct imaging method ⋮ A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation ⋮ A time domain point source method for inverse scattering by rough surfaces ⋮ Sampling and probe methods -- an algorithmical view ⋮ A complete factorization method for scattering by periodic surfaces ⋮ Shape identification of anisotropic diffraction gratings for TM-polarized electromagnetic waves ⋮ Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves
This page was built for publication: The factorization method in inverse scattering from periodic structures