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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 18 — Sep. 15, 2009
  • pp: 2805–2807

Low-contrast bandgaps of a planar parabolic spiral lattice

Michael E. Pollard and Gregory J. Parker  »View Author Affiliations


Optics Letters, Vol. 34, Issue 18, pp. 2805-2807 (2009)
http://dx.doi.org/10.1364/OL.34.002805


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Abstract

We show that a planar aperiodic lattice, mimicking the appearance of a sunflower, supports photonic bandgaps for weak dielectric contrast. The pattern’s high orientational order and spatially uniform modal pitch yields an isotropic Fourier space. A 2D structure of cylinders ( ϵ = 2 ) in air possesses a wide 21% TM bandgap, versus 5.6% for a sixfold lattice or 14% for a 12-fold fractal tiling. The isotropic gap frequencies imply flat bands, and thus application in nonlinear optics and low threshold lasers, where a reduced group velocity in all directions may be desired.

© 2009 Optical Society of America

OCIS Codes
(220.2740) Optical design and fabrication : Geometric optical design
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(160.5293) Materials : Photonic bandgap materials

ToC Category:
Materials

History
Original Manuscript: May 28, 2009
Revised Manuscript: August 11, 2009
Manuscript Accepted: August 13, 2009
Published: September 10, 2009

Citation
Michael E. Pollard and Gregory J. Parker, "Low-contrast bandgaps of a planar parabolic spiral lattice," Opt. Lett. 34, 2805-2807 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-18-2805

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