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Optics Express

Optics Express

  • Editor: C. Martijin de Sterke
  • Vol. 15, Iss. 9 — Apr. 30, 2007
  • pp: 5416–5430

Investigation of band structures for 2D non-diagonal anisotropic photonic crystals using a finite element method based eigenvalue algorithm

Sen-ming Hsu, Ming-mung Chen, and Hung-chun Chang  »View Author Affiliations


Optics Express, Vol. 15, Issue 9, pp. 5416-5430 (2007)
http://dx.doi.org/10.1364/OE.15.005416


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Abstract

A finite element method based eigenvalue algorithm is developed for the analysis of band structures of two-dimensional non-diagonal anisotropic photonic crystals under the in-plane wave propagation. The characteristics of band structures for the square and triangular lattices consisting of anisotropic materials are examined in detail and the intrinsic effect of anisotropy on the construction of band structures is investigated. We discover some interesting relationships of band structures for certain directions of the wave vector in the first Brillouin zone and present a theoretical explanation for this phenomenon. The complete band structures can be conveniently constructed by means of this concept.

© 2007 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(230.3990) Optical devices : Micro-optical devices
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Photonic Crystals

History
Original Manuscript: January 22, 2007
Revised Manuscript: April 14, 2007
Manuscript Accepted: April 17, 2007
Published: April 19, 2007

Citation
Sen-ming Hsu, Ming-mung Chen, and Hung-chun Chang, "Investigation of band structures for 2D non-diagonal anisotropic photonic crystals using a finite element method based eigenvalue algorithm," Opt. Express 15, 5416-5430 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-9-5416


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