A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media
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Publication:1691793
DOI10.1016/j.jcp.2016.10.057zbMath1378.78017OpenAlexW2541543085MaRDI QIDQ1691793
Youngjoon Hong, David P. Nicholls
Publication date: 25 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.2016.10.057
high-order spectral methodsperiodic layered mediahigh-order perturbation of surfaces methodstime-harmonic linear wave scattering
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)
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Cites Work
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- Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies
- 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
- Non-reflecting boundary conditions
- Error analysis of an enhanced DtN-FE method for exterior scattering problems
- Error analysis and preconditioning for an enhanced DtN-FE algorithm for exterior scattering problems
- A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
- Exact non-reflecting boundary conditions
- Inverse acoustic and electromagnetic scattering theory.
- Analytic continuation of Dirichlet-Neumann operators
- Exact non-reflecting boundary conditions on general domains.
- On nonreflecting boundary conditions
- Special finite elements for use with high-order boundary conditions
- A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions
- A spectral element method with transparent boundary condition for periodic layered media scattering
- Numerical analysis of diffraction by periodic structures: \(TM\) polarization
- 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
- Windowed Green Function Method for Layered-Media Scattering
- Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
- Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method
- Spectral Methods
- A Rigorous Numerical Analysis of the Transformed Field Expansion Method
- Optimal design of periodic antireflective structures for the Helmholtz equation
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- A variational method for electromagnetic diffraction in biperiodic structures
- Finite Element Approximation of Time Harmonic Waves in Periodic Structures
- 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
- Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains
- Reflection of electromagnetic waves from slightly rough surfaces
- A fast algorithm for particle simulations
- Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators
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