Abstract
We report the measurements of the diffraction pattern of atwo-dimensional Penrose-tiled photonic quasicrystal, obtainedby etching air cylinders in a silica substrate, and themodelling of the light propagation and dispersion relations ofphotons inside such a structure. The calculated transmission spectra exhibit dips whose positions are insensitive to thedirection of propagation and whose depth increases withincreasing structure length. An approach is developed for thecalculation of the dispersion relations which is based on a setof reciprocal vectors defined by the diffraction pattern. Thedispersion curves exhibit gap-like features at frequenciescorresponding to the dips in the transmission spectra.
Published Version
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