Finite element computation of grating scattering matrices and application to photonic crystal band calculations

DOI10.1016/J.JCP.2006.03.029zbMath1137.82343OpenAlexW1968200078MaRDI QIDQ856375

Lindsay C. Botten, Michael A. Byrne, Kokou B. Dossou

Publication date: 7 December 2006

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

Full work available at URL: http://hdl.handle.net/10453/704

zbMATH Keywords

finite element methodtransfer matrix methodscattering matrixphotonic crystalsBloch modes

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Plane-wave scattering by a photonic crystal slab: Multipole modal formulation and accuracy ⋮ A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations ⋮ Association of scattering matrices in quantum networks ⋮ Topology optimization of periodic layouts of dielectric materials ⋮ A high accuracy algorithm for 3D periodic electromagnetic scattering ⋮ A combined three-dimensional finite element and scattering matrix method for the analysis of plane wave diffraction by bi-periodic, multilayered structures ⋮ Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps ⋮ A non-linear material interpolation for design of metallic nano-particles using topology optimization

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