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Low-contrast bandgaps of a planar parabolic spiral lattice

Low-contrast bandgaps of a planar parabolic spiral lattice
Low-contrast bandgaps of a planar parabolic spiral lattice
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 (epsilon=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.
0146-9592
2805-2807
Pollard, M. E.
b2bbe070-61d9-494e-afbd-21cf4d488a56
Parker, G. J.
1cebce4f-f897-48ad-bad1-fe34d73fa6bd
Pollard, M. E.
b2bbe070-61d9-494e-afbd-21cf4d488a56
Parker, G. J.
1cebce4f-f897-48ad-bad1-fe34d73fa6bd

Pollard, M. E. and Parker, G. J. (2009) Low-contrast bandgaps of a planar parabolic spiral lattice. Optics Letters, 34 (18), 2805-2807.

Record type: Article

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 (epsilon=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.

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Published date: 10 September 2009
Additional Information: This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ol/abstract.cfm?uri=ol-34-18-2805. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Organisations: Nanoelectronics and Nanotechnology

Identifiers

Local EPrints ID: 268605
URI: https://eprints.soton.ac.uk/id/eprint/268605
ISSN: 0146-9592
PURE UUID: e6123b4c-1863-48fd-9f07-2f4d1f6e0ec6

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Date deposited: 12 Mar 2010 20:31
Last modified: 19 Jul 2019 22:15

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