Bandgap Calculations for Photonic Crystals
dc.contributor.author | Froidevaux, Marine | |
dc.contributor.author | Gamst, Cornelia | |
dc.date.accessioned | 2021-12-17T10:13:57Z | |
dc.date.available | 2021-12-17T10:13:57Z | |
dc.date.issued | 2016-11-30 | |
dc.description.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. | en |
dc.identifier.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15861 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14634 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | Maxwell equations | en |
dc.subject.other | photonic crystals | en |
dc.subject.other | eigenvalue problem | en |
dc.subject.other | adaptive finite element method | en |
dc.subject.other | posteriori error estimator | en |
dc.title | Bandgap Calculations for Photonic Crystals | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2016, 25 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 78A25 Electromagnetic theory, general | en |
tub.subject.msc2000 | 35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO | en |
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