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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 19 — Sep. 13, 2010
  • pp: 20512–20517

Holographically formed three-dimensional Penrose-type photonic quasicrystal through a lab-made single diffractive optical element

Ahmad Harb, Faraon Torres, Kris Ohlinger, Yuankun Lin, Karen Lozano, Di Xu, and Kevin P. Chen  »View Author Affiliations

Optics Express, Vol. 18, Issue 19, pp. 20512-20517 (2010)

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Large-area three-dimensional Penrose-type photonic quasicrystals are fabricated through a holographic lithography method using a lab-made diffractive optical element and a single laser exposure. The diffractive optical element consists of five polymer gratings symmetrically orientated around a central opening. The fabricated Penrose-type photonic quasicrystal shows ten-fold rotational symmetry. The Laue diffraction pattern from the photonic quasi-crystal is observed to be similar to that of the traditional alloy quasi-crystal. A golden ratio of 1.618 is also observed for the radii of diffraction rings, which has not been observed before in artificial photonic quasicrystals.

© 2010 OSA

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(090.0090) Holography : Holography
(220.4000) Optical design and fabrication : Microstructure fabrication
(260.3160) Physical optics : Interference

ToC Category:
Photonic Crystals

Original Manuscript: July 26, 2010
Revised Manuscript: August 29, 2010
Manuscript Accepted: August 30, 2010
Published: September 10, 2010

Ahmad Harb, Faraon Torres, Kris Ohlinger, Yuankun Lin, Karen Lozano, Di Xu, and Kevin P. Chen, "Holographically formed three-dimensional Penrose-type photonic quasicrystal through a lab-made single diffractive optical element," Opt. Express 18, 20512-20517 (2010)

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  1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987). [CrossRef] [PubMed]
  2. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987). [CrossRef] [PubMed]
  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). [CrossRef] [PubMed]
  4. W. 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). [CrossRef] [PubMed]
  5. S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “Three-dimensional photonic crystal operating at infrared wavelengths,” Nature 394(6690), 251–253 (1998). [CrossRef]
  6. J. E. G. J. Wijnhoven and W. L. Vos, “Preparation of photonic crystals made of air spheres in titania,” Science 281(5378), 802–804 (1998). [CrossRef]
  7. M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004). [CrossRef] [PubMed]
  8. 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(6773), 53–56 (2000). [CrossRef] [PubMed]
  9. A. Ledermann, L. Cademartiri, M. Hermatschweiler, C. Toninelli, G. A. Ozin, D. S. Wiersma, M. Wegener, and G. von Freymann, “Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths,” Nat. Mater. 5(12), 942–945 (2006). [CrossRef] [PubMed]
  10. S. P. Gorkhali, J. Qi, and G. P. Grawford, “Electrically switchable mesoscale Penrose quasicrystal structure,” Appl. Phys. Lett. 86(1), 011110 (2005). [CrossRef]
  11. X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasi-crystals,” Adv. Mater. 15(18), 1526–1528 (2003). [CrossRef]
  12. 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(5), 051901 (2006). [CrossRef]
  13. W. Y. Tam, “Icosahedral quasicrystals by optical interference holography,” Appl. Phys. Lett. 89(25), 251111 (2006). [CrossRef]
  14. J. Xu, R. Ma, X. Wang, and W. Y. Tam, “Icosahedral quasicrystals for visible wavelengths by optical interference holography,” Opt. Express 15(7), 4287–4295 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-7-4287 . [CrossRef] [PubMed]
  15. Y. Lin, P. R. Herman, and K. Darmawikarta, “Design and holographic fabrication of tetragonal and cubic photonic crystals with phase mask: toward the mass-production of three-dimensional photonic crystals,” Appl. Phys. Lett . 86, 071117/1–3 (2005). [CrossRef]
  16. Y. Lin, A. Harb, D. Rodriguez, K. Lozano, D. Xu, and K. P. Chen, “Fabrication of two-layer integrated phase mask for single-beam and single-exposure fabrication of three-dimensional photonic crystal,” Opt. Express 16(12), 9165–9172 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-12-9165 . [CrossRef] [PubMed]
  17. N. Tereault, G. von Freymann, M. Deubel, M. Hermatschweiler, F. Perez-Willard, S. John, M. Wegener, and G. A. Ozin, “New route to three-dimensional photonic bandgap materials: silicon double inversion of polymer templates,” Adv. Mater. 18(4), 457–460 (2006). [CrossRef]
  18. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long range orientataional order and no translational symmetry,” Phys. Rev. Lett. 53(20), 1951–1953 (1984). [CrossRef]
  19. D. Levine and P. J. Steinhardt, “Quasicrystal: a new class of ordered structures,” Phys. Rev. Lett. 53(26), 2477–2480 (1984). [CrossRef]

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