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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 24 — Nov. 26, 2007
  • pp: 15797–15811

Full-vectorial finite element method based eigenvalue algorithm for the analysis of 2D photonic crystals with arbitrary 3D anisotropy

Sen-ming Hsu and Hung-chun Chang  »View Author Affiliations

Optics Express, Vol. 15, Issue 24, pp. 15797-15811 (2007)

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A full-vectorial finite element method based eigenvalue algorithm is developed to analyze the band structures of two-dimensional (2D) photonic crystals (PCs) with arbitray 3D anisotropy for in-planewave propagations, in which the simple transverse-electric (TE) or transverse-magnetic (TM) modes may not be clearly defined. By taking all the field components into consideration simultaneously without decoupling of the wave modes in 2D PCs into TE and TM modes, a full-vectorial matrix eigenvalue equation, with the square of the wavenumber as the eigenvalue, is derived. We examine the convergence behaviors of this algorithm and analyze 2D PCs with arbitrary anisotropy using this algorithm to demonstrate its correctness and usefulness by explaining the numerical results theoretically.

© 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

Original Manuscript: August 28, 2007
Revised Manuscript: November 12, 2007
Manuscript Accepted: November 13, 2007
Published: November 14, 2007

Sen-ming Hsu and Hung-chun Chang, "Full-vectorial finite element method based eigenvalue algorithm for the analysis of 2D photonic crystals with arbitrary 3D anisotropy," Opt. Express 15, 15797-15811 (2007)

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