Published August 3, 2020 | Version v1
Book section

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

Description

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.

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.

Abstract

International audience

Additional details

Identifiers

URL
https://hal.archives-ouvertes.fr/hal-01915123
URN
urn:oai:HAL:hal-01915123v1

Origin repository

Origin repository
UNICA