A high-order perturbation of surfaces method for scattering of linear waves by periodic multiply layered gratings in two and three dimensions

DOI10.1016/J.JCP.2017.05.017zbMath1378.78037OpenAlexW2613877116MaRDI QIDQ1692007

David P. Nicholls, Youngjoon Hong

Publication date: 26 January 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.05.017

zbMATH Keywords

high-order spectral methodshigh-order perturbation of surfaces methodslinear wave scatteringperiodic multiply layered media

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Composite media; random media in optics and electromagnetic theory (78A48) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (4)

Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media ⋮ A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures ⋮ A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings ⋮ A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation

Cites Work

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• An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure
• A new integral representation for quasi-periodic scattering problems in two dimensions
• A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
• Finite element analysis of acoustic scattering
• Inverse acoustic and electromagnetic scattering theory.
• A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media
• A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions
• Linear and quasilinear elliptic equations
• Mathematical Methods in Image Reconstruction
• A new approach to analyticity of Dirichlet-Neumann operators
• Spectral Methods
• A Rigorous Numerical Analysis of the Transformed Field Expansion Method
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• High-Order Methods for Incompressible Fluid Flow
• A Stable High‐Order Method for Two‐Dimensional Bounded‐Obstacle Scattering
• Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space
• Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints
• Reflection of electromagnetic waves from slightly rough surfaces
• Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators

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