FDTD analysis of photonic quasicrystals with different tiling geometries and fabrication by single-beam computer-generated holography

Multiple-beam holography has been widely used for the realization of photonic quasicrystals with high rotational symmetries not achievable by conventional periodic crystals. Accurate control of the properties of the interfering beams is necessary to provide photonic band-gap structures. Here we show, by finite difference time domain (FDTD) simulations of the transmission spectra of 8-fold quasiperiodic structures, how the geometric tiling of the structure affects the presence and properties of the photonic band-gap for low refractive index contrasts. Hence, we show an interesting approach to the fabrication of photonic quasicrystals based on the use of a programmable spatial light modulator encoding computer-generated holograms, that permits an accurate control of the writing pattern with almost no limitations in the pattern design. Using this single-beam technique we fabricated quasiperiodic structures with high rotational symmetries and different geometries of the tiling, demonstrating the great versatility of our technique.