Complex 2D photonic crystals with analogue local symmetry as 12-fold quasicrystals

Optics Express

Volumn 17, Issue 19, 2009, Pages 16710-16715

  Cheng, Shih Chieh ^a   Zhu, Xuelian ^a   Yang, Shu ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; CRYSTAL SYMMETRY; CRYSTALS; GLASS; QUASICRYSTALS; SILICON NITRIDE;

2-D PHOTONIC CRYSTALS; DIELECTRIC CONTRASTS; DIFFERENT STRUCTURE; INVERSE STRUCTURES; PHOTONIC BAND GAP PROPERTIES; STRUCTURAL SYMMETRY; TRANSVERSE MAGNETIC; TWO DIMENSIONAL (2 D);

PHOTONIC CRYSTALS;

EID: 70349193244     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.17.016710     Document Type: Article

References (12)

1. J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic crystals (Princeton University Press, 2008).
2. Y. S. Chan, C. T. Chan, and Z. Y. Liu, "Photonic band gaps in two dimensional photonic quasicrystals," Phys. Rev. Lett. 80(5), 956-959 (1998).
3. M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404(6779), 740-743 (2000).
4. X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, "Large-area two-dimensional mesoscale quasicrystals," Adv. Mater. 15(18), 1526-1528 (2003).
5. W. N. Man, M. Megens, P. J. Steinhardt, and P. M. Chaikin, "Experimental measurement of the photonic properties of icosahedral quasicrystals," Nature 436(7053), 993-996 (2005).
6. Y. Yang, and G. P. Wang, "Two-dimensional photonic crystals constructed with a portion of photonic quasicrystals," Opt. Express 15(10), 5991-5996 (2007).
7. Y. Yang, Q. Z. Li, and G. P. Wang, "Fabrication of periodic complex photonic crystals constructed with a portion of photonic quasicrystals by interference lithography," Appl. Phys. Lett. 93(6), 061112 (2008).
8. M. Baake, R. Klitzing, and M. Schlottmann, "Fractally shaped acceptance domains of quasiperiodic squaretriangular tilings with dodecaonal symmetry," Physica A 191(1-4), 554-558 (1992).
9. A. Delia Villa, S. Enoch, G. Tayeb, F. Capolino, V. Pierro, and V. Galdi, "Localized modes in photonic quasicrystals with Penrose-type lattice," Opt. Express 14(21), 10021-10027 (2006).
10. P. Stampfli, "A dodecagonal quasiperiodic lattice in two dimensions," Helv. Phys. Acta 59, 1260-1263 (1986).
11. S. G. Johnson, and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8(3), 173-190 (2001).
12. X. D. Zhang, Z. Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63(8), 081105 (2001).