OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 22, Iss. 2 — Feb. 1, 2005
  • pp: 466–473

Photonic crystals: six connected dielectric networks with simple cubic symmetry

Martin Maldovan and Edwin L. Thomas  »View Author Affiliations


JOSA B, Vol. 22, Issue 2, pp. 466-473 (2005)
http://dx.doi.org/10.1364/JOSAB.22.000466


View Full Text Article

Enhanced HTML    Acrobat PDF (779 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Periodic dielectric structures possessing large photonic band gaps have been based primarily on face-centered-cubic diamond symmetry. However, photonic crystals with large photonic band gaps are also found when neighboring lattice sites in the simple cubic lattice are connected to create a connected node dielectric network. Because of the inherent simplicity of this geometry, photonic crystals based on simple cubic symmetry can be more easily and economically produced. In this review, we show graphically and quantitatively the similarities among five photonic crystals having simple cubic lattice symmetry. Structural and photonic properties of this family of crystals are compared to reveal common characteristics. We provide three-dimensional (3-D) graphics to enable the reader to visualize the relationships amongst the various structures. We provide maps of the complete photonic band gaps as a function of the dielectric volume fraction for each structure to help researchers interested in the fabrication of the structures. We also discuss the basic origin of the 3-D complete photonic band gap for the simple cubic morphology in terms of dielectric modulations along principal directions. After reviewing the set of experimentally realized simple cubic structures, we feature the promising champion single P structure accessible through 3-D interference lithography.

© 2005 Optical Society of America

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

Citation
Martin Maldovan and Edwin L. Thomas, "Photonic crystals: six connected dielectric networks with simple cubic symmetry," J. Opt. Soc. Am. B 22, 466-473 (2005)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-2-466


Sort:  Author  |  Year  |  Journal  |  Reset  

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. J. D. Joannopoulos, P. R. Villeneuve, and S. H. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997). [CrossRef]
  4. E. Yablonovitch and T. J. Gmitter, "Photonic band structure: the face-centered-cubic case," Phys. Rev. Lett. 63, 1950-1953 (1989). [CrossRef] [PubMed]
  5. K. M. Leung and Y. F. Liu, "Full wave vector calculation of photonic band structures in face-centered-cubic dielectric media," Phys. Rev. Lett. 65, 2646-2649 (1990). [CrossRef] [PubMed]
  6. Z. Zhang and S. Satpathy, "Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell's equations," Phys. Rev. Lett. 65, 2650-2653 (1990). [CrossRef] [PubMed]
  7. K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic band gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990). [CrossRef] [PubMed]
  8. M. Maldovan and E. L. Thomas, "Diamond-structured photonic crystals," Nat. Mater. 3, 593-600 (2004). [CrossRef] [PubMed]
  9. H. S. Sozuer and J. W. Haus, "Photonic bands: simple-cubic lattice," J. Opt. Soc. Am. B 10, 296-302 (1993). [CrossRef]
  10. L. Zavieh and T. S. Mayer, "Demonstration of a three-dimensional simple-cubic infrared photonic crystal," Appl. Phys. Lett. 75, 2533-2525 (1999). [CrossRef]
  11. S. Y. Lin, J. G. Fleming, R. Lin, M. M. Sigalas, R. Biswas, and K. M. Ho, "Complete three-dimensional photonic bandgap in a simple cubic structure," J. Opt. Soc. Am. B 18, 32-35 (2001). [CrossRef]
  12. 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]
  13. R. Biswas, M. M. Sigalas, K. M. Ho, and S. Y. Lin, "Three-dimensional photonic band gaps in modified simple cubic lattices," Phys. Rev. B 65, 205121 (2002). [CrossRef]
  14. 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 (2000). [CrossRef]
  15. M. Wohlgemuth, N. Yufa, J. Hoffman, and E. L. Thomas, "Triply periodic bicontinuous cubic microdomain morphologies by symmetries," Macromolecules 34, 6083-6089 (2001). [CrossRef]
  16. L. Martin-Moreno, F. J. Garcia-Vidal, and A. M. Somoza, "Self-assembled triply periodic minimal surfaces as molds for photonic band gap materials," Phys. Rev. Lett. 83, 73-75 (1999). [CrossRef]
  17. 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]
  18. O. Toader and S. John, "Photonic band gap architectures for holographic lithography," Phys. Rev. Lett. 92, 043905 (2004). [CrossRef] [PubMed]
  19. M. Qiu and S. He, "Optimal design of a two-dimensional photonic crystal of a square lattice with a large complete two-dimensional band gap," J. Opt. Soc. Am. B 17, 1027-1030 (2000). [CrossRef]
  20. M. Agio and L. C. Andreani, "Complete photonic band gap in a two-dimensional chessboard lattice," Phys. Rev. B 61, 15519 (2000). [CrossRef]
  21. M. Wada, Y. Doi, K. Inoue, J. W. Haus, and Z. Yuan, "A simple cubic photonic lattice in silicon," Appl. Phys. Lett. 70, 2966-2968 (1997). [CrossRef]
  22. C. K. Ullal, M. Maldovan, S. Yang, and E. L. Thomas, "Photonic crystals through holographic lithography: simple cubic, diamond-like and gyroid-like structures," Appl. Phys. Lett. 84, 5434-5436 (2004). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited