Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides

DOI10.1016/j.matpur.2012.10.013zbMath1278.35170arXiv1010.1738OpenAlexW1990535704MaRDI QIDQ385983

Thorsten Hohage, Sofiane Soussi

Publication date: 13 December 2013

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1738

zbMATH Keywords

Floquet theoryphotonic crystalanalytic theory of operatorsperiodic dielectric mediumphotonic band gap

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Waves and radiation in optics and electromagnetic theory (78A40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Numerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides ⋮ A Spectral Decomposition Method to Approximate Dirichlet-to-Neumann Maps in Complicated Waveguides ⋮ A multiscale \(hp\)-FEM for 2D photonic crystal bands ⋮ Spectrum Decomposition of Translation Operators in Periodic Waveguide

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