Bandgap Calculations for Photonic Crystals

dc.contributor.authorFroidevaux, Marine
dc.contributor.authorGamst, Cornelia
dc.date.accessioned2021-12-17T10:13:57Z
dc.date.available2021-12-17T10:13:57Z
dc.date.issued2016-11-30
dc.description.abstractWe 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.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15861
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14634
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherMaxwell equationsen
dc.subject.otherphotonic crystalsen
dc.subject.othereigenvalue problemen
dc.subject.otheradaptive finite element methoden
dc.subject.otherposteriori error estimatoren
dc.titleBandgap Calculations for Photonic Crystalsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2016, 25en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200078A25 Electromagnetic theory, generalen
tub.subject.msc200035P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDOen
Files
Original bundle
Now showing 1 - 1 of 1
Loading…
Thumbnail Image
Name:
Preprint-25-2016.pdf
Size:
1.19 MB
Format:
Adobe Portable Document Format
Description:
Collections