Low-contrast bandgaps of a planar parabolic spiral lattice

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


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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.

Item Type: Article
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.
ISSNs: 1539-4794
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > NANO
ePrint ID: 268605
Accepted Date and Publication Date:
10 September 2009Published
Date Deposited: 12 Mar 2010 20:31
Last Modified: 27 Mar 2014 20:15
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/268605

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