Numerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides

DOI10.1016/j.camwa.2013.03.005zbMath1381.78012OpenAlexW2076635031MaRDI QIDQ316577

Kersten Schmidt, Dirk Klindworth, Sonia Fliss

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.03.005

zbMATH Keywords

Newton's methodChebyshev interpolationDirichlet-to-Neumann maphigh-order FEMnon-linear eigenvalue problemphotonic crystal wave-guide

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (5)

Editorial: High-order finite element approximation for partial differential equations ⋮ Domain truncation methods for the wave equation in a homogenization limit ⋮ One-dimensional reflection by a semi-infinite periodic row of scatterers ⋮ Cross‐impact of beam local wavenumbers on the efficiency of self‐adaptive artificial boundary conditions for two‐dimensional nonlinear Schrödinger equation ⋮ Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides

Cites Work

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• Discrete Cosine Transform
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• A Dirichlet-to-Neumann Approach for The Exact Computation of Guided Modes in Photonic Crystal Waveguides
• Convergence of the Supercell Method for Defect Modes Calculations in Photonic Crystals
• Spectral/hp Element Methods for Computational Fluid Dynamics
• Floquet theory for partial differential equations
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