A perturbation approach for near bound-state resonances of photonic crystal with defect

DOI10.1017/S0956792515000340zbMath1383.78006OpenAlexW2605708994MaRDI QIDQ4594571

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Publication date: 24 November 2017

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

Full work available at URL: https://doi.org/10.1017/s0956792515000340

zbMATH Keywords

Helmholtz equationphotonic crystalscattering resonances

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Waves and radiation in optics and electromagnetic theory (78A40) Physical optics (78A10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

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Cites Work

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• Maximization of the quality factor of an optical resonator
• Localized classical waves created by defects
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• Resonances of a Finite One-Dimensional Photonic Crystal with a Defect
• Resonances of a Potential Well with a Thick Barrier
• Resonance spectrum for one-dimensional layered media
• TRANSMISSION THROUGH A THICK PERIODIC SLAB
• Midgap Defect Modes in Dielectric and Acoustic Media
• Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
• Scattering Resonances for a Two-Dimensional Potential Well with a Thick Barrier
• Convergence of the Supercell Method for Defect Modes Calculations in Photonic Crystals

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