4.6 Article

Low-contrast bandgaps of a planar parabolic spiral lattice

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OPTICS LETTERS
卷 34, 期 18, 页码 2805-2807

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OPTICAL SOC AMER
DOI: 10.1364/ol.34.002805

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  1. Engineering and Physical Sciences Research Council (EPSRC)
  2. Higher Education Funding Council for England (HEFCE)
  3. University of Southampton

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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. (C) 2009 Optical Society of America

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