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

Sen-ming Hsu | Zendy; Ming-mung Chen | Zendy; Hung-Chun Chang | Zendy

Open Access

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

Author(s) -

Sen-ming Hsu,

Ming-mung Chen,

Hung-Chun Chang

Publication year - 2007

Publication title -

optics express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.394

H-Index - 271

ISSN - 1094-4087

DOI - 10.1364/oe.15.005416

Subject(s) - anisotropy , brillouin zone , diagonal , photonic crystal , finite element method , eigenvalues and eigenvectors , optics , physics , plane wave expansion method , plane wave , electronic band structure , photonics , mathematical analysis , geometry , condensed matter physics , mathematics , quantum mechanics , thermodynamics

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.

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