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Chapitre D'ouvrage Année : 2020

Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties

Boris Gralak
Maxence Cassier
Guillaume Demésy
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Sebastien Guenneau

Résumé

Photonic crystals are periodic structures which prevent light propagation along one or more directions in certain frequency intervals. Their band spectrum is usually analyzed using Floquet-Bloch decomposition. This spectrum is located on the real axis, and it enters the complex plane when absorption and dispersion is considered in the dielectric permittivity of material constituents. Here, we review fundamental definition and properties of dispersion law and group velocity in photonic crystals and we illustrate them with numerical examples.

Dates et versions

hal-01915123 , version 1 (07-11-2018)

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Boris Gralak, Maxence Cassier, Guillaume Demésy, Sebastien Guenneau. Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties. Michael Donahue, Yilmaz Sozer, Thomas Bauernfeind, Vadim Markel. Compendium on Electromagnetic Analysis From Electrostatics to Photonics: Fundamentals and Applications for Physicists and Engineers, 4, pp.205-241, In press, Optics and Photonics I, 978-981-3270-16-9. ⟨10.1142/9789813270329_0004⟩. ⟨hal-01915123⟩
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