Bragg structure and the first spectral gap

DOI10.1016/j.aml.2012.03.002zbMath1252.35175OpenAlexW2031249720WikidataQ57482778 ScholiaQ57482778MaRDI QIDQ712639

Braxton Osting

Publication date: 17 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.03.002

zbMATH Keywords

periodic operatorphotonic crystalspectral optimizationfundamental gapgap-to-midgap ratioquarter-wave stack

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Wave equation (35L05)

Related Items (5)

Minimizing eigenvalues for inhomogeneous rods and plates ⋮ Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight ⋮ Extremal spectral gaps for periodic Schrödinger operators ⋮ Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions ⋮ Extremal rearrangement problems involving Poisson's equation with Robin boundary conditions

Cites Work

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• Optimization of scattering resonances
• Maximization of the quality factor of an optical resonator
• Extremal eigenvalue problems for composite membranes. I
• Long-Lived Scattering Resonances and Bragg Structures
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• Maximizing Band Gaps in Two-Dimensional Photonic Crystals

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