Band structure optimization of two-dimensional photonic crystals in \(H\)-polarization

DOI10.1006/jcph.1999.6415zbMath0949.65115OpenAlexW2067494951MaRDI QIDQ1975427

David C. Dobson, Steven J. Cox

Publication date: 27 July 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6415

zbMATH Keywords

numerical examplesperiodic structuresband gapsoptimal designevolution algorithm

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of crystals (82D25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Optimization problems in optics and electromagnetic theory (78M50)

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Cites Work

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• An efficient method for band structure calculations in 2D photonic crystals
• The generalized gradient at a multiple eigenvalue
• An Efficient Method to Solve the Minimax Problem Directly
• Maximizing Band Gaps in Two-Dimensional Photonic Crystals
• Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
• Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals
• Floquet theory for partial differential equations

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