1. Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties
- Author
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Gralak, Boris, Cassier, Maxence, Demésy, Guillaume, Guenneau, Sebastien, EPSILON (EPSILON), Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Abraham de Moivre, Imperial College London-Centre National de la Recherche Scientifique (CNRS), ATHENA (ATHENA), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Abraham de Moivre (UMI2004), Michael Donahue, Yilmaz Sozer, Thomas Bauernfeind, Vadim Markel, This is a collaboration between the teams Epsilon and Athena at Institut Fresnel., and Igor Tsukerman
- Subjects
[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] ,[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism ,0103 physical sciences ,[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] ,[SPI.OPTI]Engineering Sciences [physics]/Optics / Photonic ,Physics::Optics ,010306 general physics ,01 natural sciences ,[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation ,ComputingMilieux_MISCELLANEOUS ,010305 fluids & plasmas - Abstract
This is a book chapter for a World Scientific Reference Set edited by Prof. Vadim Markel, a former member at Institut Fresnel, who currently works in the Department of Radiology at the University of Pennsylvania, USA.; International audience; 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.
- Published
- 2020
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