A finite element frequency domain method for 2D photonic crystals

DOI10.1016/J.CAM.2012.02.041zbMath1245.82098OpenAlexW2011476548MaRDI QIDQ433942

Sebastiano Seatzu, Pietro Contu, Cornelis V. M. van der Mee

Publication date: 9 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.02.041

zbMATH Keywords

circulant matricesphotonic crystalsFEFD method

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Lasers, masers, optical bistability, nonlinear optics (78A60) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (1)

A matrix-exponential decomposition based time-domain method for calculating the defect states of scalar waves in two-dimensional periodic structures

Cites Work

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• A computer-assisted proof for photonic band gaps
• Fast superoptimal preconditioning of multiindex Toeplitz matrices
• Modified edge finite elements for photonic crystals
• 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
• An efficient method for band structure calculations in 3D photonic crystals
• Fast computation of two-level circulant preconditioners
• Fast and effective finite difference method for 2D photonic crystals

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