Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method

DOI10.1137/16M1059679zbMath1357.65274MaRDI QIDQ2957849

David P. Nicholls

Publication date: 30 January 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

algorithmlayered mediaHelmholtz equationnumerical experimentdiffraction gratingshigh-order spectral methodsasymptotic waveform evaluationhigh-order perturbation of surfaces methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (5)

Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media ⋮ A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media ⋮ Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework ⋮ Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media ⋮ High-Order Spectral Simulation of Graphene Ribbons

Uses Software

• Matlab

Cites Work

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• Fokas integral equations for three dimensional layered-media scattering
• A new integral representation for quasi-periodic scattering problems in two dimensions
• Inverse acoustic and electromagnetic scattering theory.
• Analytic continuation of Dirichlet-Neumann operators
• A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions
• A high-order perturbation of surfaces (HOPS) approach to Fokas integral equations: vector electromagnetic scattering by periodic crossed gratings
• Theoretical Numerical Analysis
• Mathematical Methods in Image Reconstruction
• A new approach to analyticity of Dirichlet-Neumann operators
• A high–order perturbation of surfaces (HOPS) approach to Fokas integral equations: Three–dimensional layered–media scattering
• Properties of short-crested waves in water of finite depth
• Highly nonlinear short-crested water waves
• Taylor Expansion of exp(∑ ∞ k = 0 a k z k ) and Some Applications
• Multipoint Galerkin asymptotic waveform evaluation for model order reduction of frequency domain FEM electromagnetic radiation problems
• Three-dimensional acoustic scattering by layered media: a novel surface formulation with operator expansions implementation
• Reflection of electromagnetic waves from slightly rough surfaces
• A fast algorithm for particle simulations

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