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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 24 — Nov. 21, 2011
  • pp: 23631–23642

Localized photonic band edge modes and orbital angular momenta of light in a golden-angle spiral

Seng Fatt Liew, Heeso Noh, Jacob Trevino, Luca Dal Negro, and Hui Cao  »View Author Affiliations

Optics Express, Vol. 19, Issue 24, pp. 23631-23642 (2011)

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We present a numerical study on photonic bandgap and band edge modes in the golden-angle spiral array of air cylinders in dielectric media. Despite the lack of long-range translational and rotational order, there is a large PBG for the TE polarized light. Due to spatial inhomogeneity in the air hole spacing, the band edge modes are spatially localized by Bragg scattering from the parastichies in the spiral structure. They have discrete angular momenta that originate from different families of the parastichies whose numbers correspond to the Fibonacci numbers. The unique structural characteristics of the golden-angle spiral lead to distinctive features of the band edge modes that are absent in both photonic crystals and quasicrystals.

© 2011 OSA

OCIS Codes
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(160.5293) Materials : Photonic bandgap materials

ToC Category:
Photonic Crystals

Original Manuscript: September 19, 2011
Revised Manuscript: October 10, 2011
Manuscript Accepted: October 11, 2011
Published: November 7, 2011

Seng Fatt Liew, Heeso Noh, Jacob Trevino, Luca Dal Negro, and Hui Cao, "Localized photonic band edge modes and orbital angular momenta of light in a golden-angle spiral," Opt. Express 19, 23631-23642 (2011)

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