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

被引：0
作者：
André G. Edelmann
Stefan F. Helfert
机构：
[1] FernUniversität in Hagen,
来源：
Optical and Quantum Electronics | 2009年 / 41卷
关键词：
Photonic crystals; Band structures; Method of lines; Oblique coordinates; Floquet’s theorem; Three-dimensional numerical modeling;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：243 / 254
页数：11
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