Slow light in photonic crystals

DOI10.1080/17455030600836507zbMath1191.78002arXivphysics/0504112OpenAlexW2093695609MaRDI QIDQ3576436

Alex Figotin, Ilya Vitebsky

Publication date: 30 July 2010

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0504112

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Waves and radiation in optics and electromagnetic theory (78A40) Physical optics (78A10)

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Optics of anisotropic nanostructures ⋮ On the spectral theory of linear differential-algebraic equations with periodic coefficients ⋮ Eigenvalue bifurcations in Kac-Murdock-Szegő matrices with a complex parameter ⋮ Dispersive and effective properties of two-dimensional periodic media ⋮ Resonant electromagnetic scattering in anisotropic layered media ⋮ Bloch dispersion and high frequency homogenization for separable doubly-periodic structures ⋮ Derivation of ray optics equations in photonic crystals via a semiclassical limit ⋮ Wave propagation in a one-dimensional randomly perturbed periodic medium ⋮ Pathological scattering by a defect in a slow-light periodic layered medium ⋮ High-frequency spectral analysis of thin periodic acoustic strips: Theory and numerics ⋮ Bloch waves in periodic multi-layered acoustic waveguides ⋮ The effect of disorder on the wave propagation in one-dimensional periodic optical systems ⋮ Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential ⋮ Dispersion of waves in two and three-dimensional periodic media

Cites Work

• Perturbation theory for linear operators.
• Spectral Properties of Thin-Film Photonic Crystals
• Slowdown of the wave packages in finite slabs of periodic medias
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