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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 (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.
0146-9592
2805-2807
Pollard, M.E.
c439d195-6e7c-48d7-ab81-a20c72b72632
Parker, G.J.
edf88b88-ba05-48a5-8ae4-d6d6aa984364
Pollard, M.E.
c439d195-6e7c-48d7-ab81-a20c72b72632
Parker, G.J.
edf88b88-ba05-48a5-8ae4-d6d6aa984364

Pollard, M.E. and Parker, G.J. (2009) Low-contrast bandgaps of a planar parabolic spiral lattice. Optics Letters, 34 (18), 2805-2807. (doi:10.1364/OL.34.002805).

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 (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.

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Published date: 10 September 2009
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: 20 Aug 2019 16:30

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