Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps

DOI10.1016/j.jcp.2008.01.014zbMath1143.78012OpenAlexW2117781217MaRDI QIDQ924465

Ya Yan Lu, Xavier Antoine, Jianhua Yuan

Publication date: 16 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.01.014

zbMATH Keywords

numerical methodboundary integral equationDirichlet-to-Neumann mapphotonic crystalband structures

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)

Related Items (7)

A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations ⋮ Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation ⋮ Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map ⋮ Sequential Dirichlet-to-Neumann coupling for the mixed-dimensional wave equation ⋮ Bandgap calculations of two-dimensional solid-fluid phononic crystals with the boundary element method ⋮ Band gap calculations of photonic crystals by singular boundary method ⋮ An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals

Cites Work

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• Finite element computation of grating scattering matrices and application to photonic crystal band calculations
• An efficient method for band structure calculations in 2D photonic crystals
• An efficient finite element method for computing spectra of photonic and acoustic band-gap materials. I: Scalar case
• A finite-difference eigenvalue algorithm for calculating the band structure of a photonic crystal
• The computation of spectra of some 2D photonic crystals
• Inverse acoustic and electromagnetic scattering theory.
• On occurrence of spectral edges for periodic operators inside the Brillouin zone
• A new finite-difference time-domain method for photonic crystals consisting of nearly-free-electron metals

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