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Main Title: Bandgap Calculations for Photonic Crystals
Author(s): Froidevaux, Marine
Gamst, Cornelia
Type: Research Paper
Abstract: We study the propagation of light in a three-dimensional periodic photonic crystal, of which the electric permittivity is a complex nonlinear function of both space and frequency. We introduce the correct functional space needed to ensure that the operator corresponding to the weak formulation has a discrete spectrum, i.e., at most countably many isolated eigenvalues of finite multiplicity. Moreover, for two-dimensional photonic crystals, we present an a posteriori error estimator that can be used for the development of adaptive finite element methods.
Subject(s): Maxwell equations
photonic crystals
eigenvalue problem
adaptive finite element method
posteriori error estimator
Issue Date: 30-Nov-2016
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 78A25 Electromagnetic theory, general
35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2016, 25
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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