A volume integral method for solving scattering problems from locally perturbed infinite periodic layers

DOI10.1080/00036811.2016.1221942zbMath1364.65267OpenAlexW2511238033WikidataQ58123645 ScholiaQ58123645MaRDI QIDQ2965791

Houssem Haddar, Thi-Phong Nguyen

Publication date: 3 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01374892/file/TPNHH-2016.pdf

zbMATH Keywords

convergenceintegral equationperiodicityHelmholtz equationnumerical experimentscattering problemsspectral approximationFloquet-Bloch transform

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (13)

Analysis of sampling methods for imaging a periodic layer and its defects ⋮ Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D ⋮ A High Order Numerical Method for Scattering from Locally Perturbed Periodic Surfaces ⋮ Fast imaging of local perturbations in a unknown bi-periodic layered medium ⋮ A Floquet--Bloch Transform Based Numerical Method for Scattering from Locally Perturbed Periodic Surfaces ⋮ 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 ⋮ Numerical methods for scattering problems in periodic waveguides ⋮ Differential imaging of local perturbations in anisotropic periodic media ⋮ Reconstruction of a local perturbation in inhomogeneous periodic layers from partial near field measurements ⋮ Near-field imaging of locally perturbed periodic surfaces ⋮ Numerical Scheme for Electromagnetic Scattering on Perturbed Periodic Inhomogeneous Media and Reconstruction of the Perturbation ⋮ Time-Harmonic Acoustic Scattering from Locally Perturbed Periodic Curves

Cites Work

• Helmholtz equation in periodic media with a line defect
• A trigonometric Galerkin method for volume integral equations arising in TM grating scattering
• The mathematics of scattering by unbounded, rough, inhomogeneous layers
• Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem
• On the numerical solution of a three-dimensional inverse medium scattering problem
• On uniqueness in electromagnetic scattering from biperiodic structures
• Electromagnetic Wave Scattering from Rough Penetrable Layers
• On radiation conditions for rough surface scattering problems
• A variational method for wave scattering from penetrable rough layers
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Volume integral equations for scattering from anisotropic diffraction gratings
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: A volume integral method for solving scattering problems from locally perturbed infinite periodic layers