Three-dimensional analysis of hexagonal structured photonic crystals using oblique coordinates

The band structures of hexagonal photonic crystals with finite height are determined in this paper. Three-dimensional, full vectorial calculations are performed with the Method of Lines as numerical algorithm. To describe the boundaries of the elementary cells correctly, oblique coordinates are intr...

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Bibliographic Details
Published inOptical and quantum electronics Vol. 41; no. 4; pp. 243 - 254
Main Authors Edelmann, André G., Helfert, Stefan F.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.03.2009
Subjects
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Lasers
Oblique coordinates
Optical Devices
Optics
Photonic crystals
Photonics
Physics
Physics and Astronomy
Quantum electronics
Band structures
Method of lines
Floquet’s theorem
Three-dimensional numerical modeling
Oblique coordinates
Photonic crystals
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Summary:The band structures of hexagonal photonic crystals with finite height are determined in this paper. Three-dimensional, full vectorial calculations are performed with the Method of Lines as numerical algorithm. To describe the boundaries of the elementary cells correctly, oblique coordinates are introduced. In particular, suitable expressions for the analysis with oblique coordinates and for the three-dimensional case are developed from Maxwell’s equations. A comparison of the numerical results with values from the literature shows the validity of the derived algorithm.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-009-9342-x