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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 19 — Sep. 14, 2009
  • pp: 16710–16715

Complex 2D photonic crystals with analogue local symmetry as 12-fold quasicrystals

Shih-Chieh Cheng, Xuelian Zhu, and Shu Yang  »View Author Affiliations

Optics Express, Vol. 17, Issue 19, pp. 16710-16715 (2009)

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We construct fourteen complex periodic two-dimensional (2D) photonic structures with different structural symmetries by arranging the small portions of a 12-fold quasicrystal on square or hexagonal lattices. The corresponding reciprocal lattices confirm that all of them demonstrate the 12-fold-like characteristics due to the analogue short-range arrangements. We then investigate their photonic bandgap properties at different dielectric contrast levels (dielectric rods in air background). Our results suggest that all structures possess analogue transverse magnetic (TM) gaps in both Si and glass photonic crystals due to the similarity of their local geometries. However, the arrangements of the basic elements, total symmetries, and the coupling between the local and the lattice symmetries have greater impact on the glass photonic crystals, which show much larger deviation of gap sizes from different structures. Furthermore, we find that the minimal dielectric contrast to achieve the TM gap in the complex lattices (dielectric-in-air) can be as low as ε = 1.44, whereas the inverse structures may open a 2D complete gap in silicon nitride (ε = 4.1).

© 2009 OSA

OCIS Codes
(160.5293) Materials : Photonic bandgap materials
(160.5298) Materials : Photonic crystals
(080.6755) Geometric optics : Systems with special symmetry

ToC Category:
Photonic Crystals

Original Manuscript: June 15, 2009
Revised Manuscript: August 21, 2009
Manuscript Accepted: August 31, 2009
Published: September 3, 2009

Shih-Chieh Cheng, Xuelian Zhu, and Shu Yang, "Complex 2D photonic crystals with analogue local symmetry as 12-fold quasicrystals," Opt. Express 17, 16710-16715 (2009)

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