Modeling photonic crystal fibers

DOI10.1016/j.aam.2005.06.002zbMath1132.35084OpenAlexW2025491746MaRDI QIDQ2458956

Sofiane Soussi

Publication date: 5 November 2007

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

Full work available at URL: https://doi.org/10.1016/j.aam.2005.06.002

zbMATH Keywords

integral equationsMaxwell equationsperiodic coefficientswave guides

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Antennas, waveguides in optics and electromagnetic theory (78A50) Integral operators (45P05)

Related Items (4)

Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides ⋮ Mathematical analysis of the guided waves in photonic crystal fibers ⋮ On guided waves created by line defects ⋮ Eigenvalue branches of the perturbed Maxwell operator M+λD in a gap of σ(M)

Cites Work

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• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Localized classical waves created by defects
• Localization of classical waves. I: Acoustic waves
• Localization of classical waves. II: Electromagnetic waves
• Perturbation theory for linear operators.
• Spectral properties of periodic media in the large coupling limit
• Guided Waves in a Photonic Bandgap Structure with a Line Defect
• Floquet theory for partial differential equations
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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