Bandgap properties of low‐index contrast aperiodically ordered photonic quasicrystals

We numerically analyze, using Finite Difference Time Domain simulations, the bandgap properties of photonic quasicrystals with a low-index contrast. We compared 8-, 10-, and 12-fold symmetry aperiodically ordered lattices with different spatial tiling. Our results show that tiling design, more than symmetry, determines the transmission properties of these structures. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 2732–2737, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24724

[1]  Zhao-Qing Zhang,et al.  Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems , 1999 .

[2]  Ekmel Ozbay,et al.  Photonic band-gap effect, localization, and waveguiding in the two-dimensional Penrose lattice , 2001 .

[4]  Robert C. Gauthier,et al.  Production of quasi-crystal template patterns using a dual beam multiple exposure technique. , 2004, Optics express.

[5]  R. Gauthier,et al.  Photonic band gap properties of 12-fold quasi-crystal determined through FDTD analysis. , 2005, Optics express.

[6]  M. C. Netti,et al.  Complete photonic bandgaps in 12-fold symmetric quasicrystals , 2000, Nature.

[7]  J. Socolar,et al.  Simple octagonal and dodecagonal quasicrystals. , 1989, Physical review. B, Condensed matter.

[8]  V. Pierro,et al.  Mode Confinement in Photonic Quasi-Crystal Point-Defect Cavities for Particle Accelerators , 2008, 0809.4997.

[9]  Ping Sheng,et al.  Realization of optical periodic quasicrystals using holographic lithography , 2006 .

[10]  J. Qi,et al.  Switchable quasi-crystal structures with five-, seven-, and ninefold symmetries , 2006 .

[11]  Ping Sheng,et al.  Large‐Area Two‐Dimensional Mesoscale Quasi‐Crystals , 2003 .

[12]  J. Qi,et al.  Electrically switchable mesoscale Penrose quasicrystal structure , 2005 .

[13]  Guo Ping Wang,et al.  Fabrication of two-dimensional metallodielectric quasicrystals by single-beam holography , 2006 .

[14]  M. Gu,et al.  Photonic band gaps and planar cavity of two-dimensional eightfold symmetric void-channel photonic quasicrystals , 2007 .

[15]  E. Santamato,et al.  Two-dimensional photonic quasicrystals by single beam computer-generated holography. , 2008, Optics express.

[16]  Zhaolin Li,et al.  Band gap and wave guiding effect in a quasiperiodic photonic crystal , 1999 .

[17]  T. Goto,et al.  ALL OPTICAL MODE LOCKING OF FABRY-PEROT LASER DIODE VIA MUTUAL INJECTION LOCKING BETWEEN TWO LONGITUDINAL MODES , 1999 .

[18]  Z. Stadnik Physical Properties of Quasicrystals , 1999 .

[19]  C. S. Sotomayor Torres,et al.  Resonant add-drop filter based on a photonic quasicrystal. , 2005, Optics express.

[20]  P. Steinhardt,et al.  Quasicrystals: a new class of ordered structures , 1984 .

[21]  C. Chan,et al.  Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals , 2001 .

[22]  Che Ting Chan,et al.  Photonic Band Gaps in Two Dimensional Photonic Quasicrystals , 1998 .

[23]  Vincenzo Galdi,et al.  Evidence of local effects in anomalous refraction and focusing properties of dodecagonal photonic quasicrystals , 2008, 0804.1692.