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|a Pollard, M.E.
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|a Parker, G.J.
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|a Low-contrast bandgaps of a planar parabolic spiral lattice
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|c 2009-09-10.
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|u https://eprints.soton.ac.uk/268605/1/Pollard2009_%2528Low-contrast_bandgaps_of_a_planar_parabolic_spiral_lattice%2529.pdf
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|a 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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