The mathematics of scattering by unbounded, rough, inhomogeneous layers

DOI10.1016/j.cam.2006.02.052zbMath1118.78007OpenAlexW2024242850MaRDI QIDQ883496

Martin Thomas, Peter B. Monk, Simon N. Chandler-Wilde

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.052

zbMATH Keywords

variational methodsHelmholtz equationa priori estimateweighted spaceradiation conditionnon-smooth boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (16)

Hybridization of the rigorous coupled-wave approach with transformation optics for electromagnetic scattering by a surface-relief grating ⋮ SCATTERING OF PLANE ELASTIC WAVES BY THREE-DIMENSIONAL DIFFRACTION GRATINGS ⋮ A new spectral method for numerical solution of the unbounded rough surface scattering problem ⋮ Numerical methods for scattering problems from multi‐layers with different periodicities ⋮ On the scattering of a plane wave by a perturbed open periodic waveguide ⋮ Maxwell's equations in an unbounded structure ⋮ A volume integral method for solving scattering problems from locally perturbed infinite periodic layers ⋮ Boundary integral equation methods for the scattering problem by an unbounded sound soft rough surface with tapered wave incidence ⋮ Analysis of the rigorous coupled wave approach for \(p\)-polarized light in gratings ⋮ Scattering of a plane harmonic SH wave by a completely embedded corrugated scatterer ⋮ Analysis of the scattering by an unbounded rough surface ⋮ Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces ⋮ Variational approach to scattering of plane elastic waves by diffraction gratings ⋮ Asymptotic models for scattering from unbounded media with high conductivity ⋮ Analysis of the rigorous coupled wave approach for \(s\)-polarized light in gratings ⋮ The PML for rough surface scattering

Cites Work

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• Equivalent Norms for Sobolev Spaces

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