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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 10 — Oct. 1, 2006
  • pp: 2046–2050

Design and fabrication of two-dimensional holographic photonic quasi crystals with high-order symmetries

Weidong Mao, Guanquan Liang, Hui Zou, Rui Zhang, Hezhou Wang, and Zhaohua Zeng  »View Author Affiliations


JOSA B, Vol. 23, Issue 10, pp. 2046-2050 (2006)
http://dx.doi.org/10.1364/JOSAB.23.002046


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Abstract

From group theory, we have deduced the minimum number of laser beams to create corresponding two-dimensional photonic quasilattices with high-order symmetries. One case is that a quasi-periodicity with eightfold, tenfold, or twelvefold symmetry can be formed by only five linearly polarized beams, which can reduce fabrication complexity and considerably improve feasibility. Accordingly, we have fabricated large-area eightfold and twelvefold photonic quasi crystals by use of a minimum beam single-exposure holographic lithography technique. The high-order symmetries of the fabricated microstructures are confirmed by scanning electron microscopy images and diffraction patterns.

© 2006 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(160.2900) Materials : Optical storage materials
(220.4000) Optical design and fabrication : Microstructure fabrication

ToC Category:
Holography

History
Original Manuscript: March 17, 2006
Manuscript Accepted: May 28, 2006

Citation
Weidong Mao, Guanquan Liang, Hui Zou, Rui Zhang, Hezhou Wang, and Zhaohua Zeng, "Design and fabrication of two-dimensional holographic photonic quasi crystals with high-order symmetries," J. Opt. Soc. Am. B 23, 2046-2050 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-10-2046


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References

  1. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1954 (1984). [CrossRef]
  2. D. Levine and P. J. Steinhardt, "Quasicrystals: a new class of ordered structures," Phys. Rev. Lett. 53, 2477-2480 (1984). [CrossRef]
  3. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
  4. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]
  5. Y. S. Chan, C. T. Chan, and Z. Y. Liu, "Photonic band gaps in two dimensional photonic quasicrystals," Phys. Rev. Lett. 80, 956-969 (1998). [CrossRef]
  6. S. S. M. Cheng, L. M. Li, C. T. Chan, and Z. Q. Zhang, "Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems," Phys. Rev. B 59, 4091-4099 (1999). [CrossRef]
  7. 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, 740-743 (2000). [CrossRef] [PubMed]
  8. A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, "Band gap formation and multiple scattering in photonic quasicrystals with a Penrose-type lattice," Phys. Rev. Lett. 94, 183903 (2005). [CrossRef] [PubMed]
  9. W. Man, M. Megens, P. J. Steinhardt, and P. M. Chaikin, "Experimental measurement of the photonic properties of icosahedral quasicrystals," Nature 436, 993-996 (2005). [CrossRef] [PubMed]
  10. M. Notomi, H. Suzuki, T. Tamamura, and K. Edagawa, "Lasing action due to the two-dimensional quasiperiodicity of photonic quasicrystals with a Penrose lattice," Phys. Rev. Lett. 92, 123906 (2004). [CrossRef] [PubMed]
  11. S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604-606 (2000). [CrossRef] [PubMed]
  12. M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, "Fabrication of photonic crystals for the visible spectrum by holographic lithography," Nature 404, 53-56 (2000). [CrossRef] [PubMed]
  13. W. D. Mao, J. W. Dong, Y. C. Zhong, G. Q. Liang, and H. Z. Wang, "Formation principles of two-dimensional compound photonic lattices by one-step holographic lithography," Opt. Express 13, 2994-2999 (2005). [CrossRef] [PubMed]
  14. Y. V. Miklyaev, D. C. Meisel, A. Blanco, G. VonFreymann, K. Busch, W. Koch, C. Enkrich, M. Deubel, and M. Wegener, "Three-dimensional face-centered-cubic photonic crystal templates by laser holography: fabrication, optical characterization, and band-structure calculations," Appl. Phys. Lett. 82, 1284-1286 (2003). [CrossRef]
  15. Y. C. Zhong, S. A. Zhu, H. M. Su, H. Z. Wang, J. M. Chen, Z. H. Zeng, and Y. L. Chen, "Photonic crystal with diamondlike structure fabricated by holographic lithography," Appl. Phys. Lett. 87, 061103 (2005). [CrossRef]
  16. W. D. Mao, G. Q. Liang, H. Zou, and H. Z. Wang, "Controllable fabrication of two-dimensional compound photonic crystals by single-exposure holographic lithography," Opt. Lett. 31, 1708-1710 (2006). [CrossRef] [PubMed]
  17. X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, "Large-area two-dimensional mesoscale quasicrystals," Adv. Mater. (Weinheim, Ger.) 15, 1526-1528 (2003). [CrossRef]
  18. R. C. Gauthier and A. Ivanov, "Production of quasi-crystal template patterns using a dual beam multiple exposure technique," Opt. Express 12, 990-1003 (2004). [CrossRef] [PubMed]
  19. S. P. Gorkhali, J. Qi, and G. P. Crawford, "Electrically switchable mesoscale Penrose quasicrystal structure," Appl. Phys. Lett. 86, 011110 (2005). [CrossRef]
  20. X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, "Realization of optical periodic quasicrystals using holographic lithography," Appl. Phys. Lett. 88, 051901 (2006). [CrossRef]
  21. D. A. Rabson, N. D. Mermin, D. S. Rokhsar, and D. C. Wright, "The space groups of axial crystals and quasicrystals," Rev. Mod. Phys. 63, 699-733 (1991). [CrossRef]

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