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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 18 — Sep. 4, 2006
  • pp: 8096–8102

Holographic design and band gap evolution of photonic crystals formed with five-beam symmetric umbrella configuration

G. Y. Dong, L. Z. Cai, X. L. Yang, X. X. Shen, X. F. Meng, X. F. Xu, and Y. R. Wang  »View Author Affiliations


Optics Express, Vol. 14, Issue 18, pp. 8096-8102 (2006)
http://dx.doi.org/10.1364/OE.14.008096


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Abstract

We propose a holographic design of five-beam symmetric umbrella configuration, where there are a central beam and four ambient beams symmetrically scattered around the central one with the same apex angle, for fabrication of three-dimensional photonic crystals with tetragonal or cubic symmetries, and systematically analyzed the band gap properties of resultant photonic crystals when the apex angle is continuously increased. Our calculations reveal that large complete photonic band gaps exist in a wide range of apex angle for a relatively low refractive index contrast. Specifically, the face-centered cubic structure with a relative band gap of 25.1% for ε = 11.9 can be obtained with this recording geometry conveniently where all the beams are incident from the same half-space. These results will provide us with more understanding of this important recording geometry and give guidelines to its use in experiments.

© 2006 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(220.4000) Optical design and fabrication : Microstructure fabrication
(260.2110) Physical optics : Electromagnetic optics
(260.3160) Physical optics : Interference

ToC Category:
Holography

History
Original Manuscript: June 28, 2006
Revised Manuscript: August 7, 2006
Manuscript Accepted: August 8, 2006
Published: September 1, 2006

Citation
G.-Y. Dong, L. Z. Cai, X. L. Yang, X. X. Shen, X. F. Meng, X. F. Xu, and Y. R. Wang, "Holographic design and band gap evolution of photonic crystals formed with five-beam symmetric umbrella configuration," Opt. Express 14, 8096-8102 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-18-8096


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References

  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
  2. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]
  3. M. Qi, E. Lidorikis, P. T. Rakich, S. G. Johnson, J. D. Joannopoulos, E. P. Ippen, and H. I. Smith, "A three-dimensional optical photonic crystal with designed point defects," Nature (London) 429, 538-542 (2004). [CrossRef]
  4. Y. A. Vlasov, X. Z. Bo, J. C. Sturm, and D. J. Norris, "On-chip natural assembly of silicon photonic bandgap crystals," Nature (London) 414, 289-293 (2001). [CrossRef]
  5. H. B. Sun, S. M. Matsuo, and H. Misawa, "Three-dimensional photonic crystal structures achieved with two-photon-absorption photopolymerization of resin," Appl. Phys. Lett. 74, 786-788 (1999). [CrossRef]
  6. 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 (London) 404, 53-56 (2000). [CrossRef]
  7. G. Wang, C. Tan, Y. Yi, and H. Shan, "Holography for one-step fabrication of three-dimensional metallodielectric photonic crystals with a single continuous wavelength laser beam," J. Mod. Opt. 50, 2155-2161 (2003).
  8. S. Shoji, H. Sun, and S. Kawata, "Photofabrication of wood-pile three-dimensional photonic crystals using four-beam laser interference," Appl. Phys. Lett. 83, 608-610 (2003). [CrossRef]
  9. C. K. Ullal, M. Maldovan, E. L. Thomas, G. Chen, Y. Han, and S. Yang, "Photonic crystals through holographic lithography: Simple cubic, diamond-like, and gyroid-like structures," Appl. Phys. Lett. 84, 5434-5436 (2004). [CrossRef]
  10. D. N. Sharp, A. J. Turberfield, and R. G. Denning, "Holographic photonic crystals with diamond symmetry," Phys. Rev. B 68, 205102 (2003). [CrossRef]
  11. C. K. Ullal, M. Maldovan, M. Wohlgemuth, C. A. White, S. Yang, and E. L. Thomas, "Triply periodic bicontinuous structures through interference lithography: a level-set approach," J. Opt. Soc. Am. A 20, 948-954 (2003). [CrossRef]
  12. L. Z. Cai, X. L. Yang, and Y. R. Wang, "All fourteen Bravais lattices can be formed by interference of four noncoplanar beams," Opt. Lett. 27, 900-902 (2002). [CrossRef]
  13. X. L. Yang, L. Z. Cai, Y. R. Wang, and Q. Liu, "Interference of four umbrellalike beams by a diffractive beam splitter for fabrication of two-dimensional square and trigonal lattices," Opt. Lett. 28, 453-455 (2003). [CrossRef] [PubMed]
  14. X. L. Yang, L. Z. Cai, and Q. Liu, "Theoretical bandgap modeling of two-dimensional triangular photonic crystals formed by interference technique of three-noncoplanar beams," Opt. Express. 11, 1050-1055 (2003). [CrossRef] [PubMed]
  15. I. Divliansky, T. S. Mayer, K. S. Holliday, and V. H. Crespi, "Fabrication of three-dimensional polymer photonic crystal structures using single diffraction element interference lithography," Appl. Phys. Lett. 82, 1667-1669 (2003). [CrossRef]
  16. Yu. V. Miklyaev, D. C. Meisel, A. Blanco, and G. von Freymann, "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]
  17. D. C. Meisel, M. Wegener, and K. Busch, "Three-dimensional photonic crystals by holographic lithography using the umbrella configuration: symmetries and complete photonic band gaps," Phys. Rev. B 70, 165104 (2004). [CrossRef]
  18. M. Maldovan, A. M. Urbas, N. Yufa, W. C. Carter, and E. L. Thomas, "Photonic properties of bicontinuous cubic microphases," Phys. Rev. B 65, 165123 (2002). [CrossRef]
  19. O. Toader, T. Y. M. Chan, and S. John, "Photonic band gap architectures for holographic lithography," Phys. Rev. Lett. 92, 043905 (2004). [CrossRef] [PubMed]
  20. T. Y. M. Chan, O. Toader, and S. John, "Photonic band gap templating using optical interference lithography," Phys. Rev. E. 71, 046605 (2005). [CrossRef]
  21. 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 (2005). [CrossRef]
  22. W. Y. Tam, "Woodpile and diamond structures by optical interference holography," (2006), http://arxiv.org/ftp/physics/papers/0607/0607092.
  23. K. Busch and S. John, "Photonic band gap formation in certain self-organizing systems," Phys. Rev. E 58, 3896-3908 (1998). [CrossRef]
  24. K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990). [CrossRef] [PubMed]
  25. B. Gralak and M. de Dood, "Theoretical study of photonic band gaps in woodpile crystals," Phys. Rev. E 67, 066601 (2003). [CrossRef]

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