OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 12 — Dec. 1, 2007
  • pp: 2957–2963

Accurate and efficient techniques for the analysis of reflection at the interfaces of three-dimensional photonic crystals

Babak Momeni, Majid Badieirostami, and Ali Adibi  »View Author Affiliations

JOSA B, Vol. 24, Issue 12, pp. 2957-2963 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (422 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present two efficient and accurate models for the analysis and optimization of reflection at the interface of three-dimensional (3D) photonic crystal structures. For the most general photonic crystal interfaces, we develop a rigorous technique based on mode matching at the interface. We also explain a more efficient (yet accurate) model based on effective impedance definition for the analysis of 3D photonic crystals (PC) structures that are highly desired for practical applications. The two techniques are used to model practical 3D PC structures, and the issue of reflection minimization at the interface of such structures is addressed.

© 2007 Optical Society of America

OCIS Codes
(160.1245) Materials : Artificially engineered materials
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: July 9, 2007
Manuscript Accepted: September 2, 2007
Published: November 12, 2007

Babak Momeni, Majid Badieirostami, and Ali Adibi, "Accurate and efficient techniques for the analysis of reflection at the interfaces of three-dimensional photonic crystals," J. Opt. Soc. Am. B 24, 2957-2963 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. M. Loncar, T. Yoshie, J. Vuckovic, A. Scherer, H. Chen, D. Deppe, P. Gogna, Y. Qiu, D. Nedeljkovic, and T. P. Pearsall, "Nanophotonics based on planar photonic crystals," in The 15th Annual Meeting of the IEEE LEOS (IEEE, 2002), Vol. 2, pp. 671-672.
  2. S. G. Romanov, P. Ferrand, M. Egen, R. Zentel, J. Ahopelto, N. Goponik, A. Eychmüller, A. Rogach, and C. M. Sotomayor Torres, "Exploring integration prospects of opal-based photonic crystals," Synth. Met. 139, 701-704 (2003). [CrossRef]
  3. 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]
  4. J. H. Moon, J. Ford, and S. Yang, "Fabricating three-dimensional polymeric photonic structures by multi-beam interference lithography," Int. Symp. Polym. Adv. Technol. 17, 83-93 (2006).
  5. J. H. Moon, S. Yang, and S.-M. Yang, "Photonic band-gap structures of core-shell simple cubic crystals from holographic lithography," Appl. Phys. Lett. 88, 121101 (2006). [CrossRef]
  6. 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, 444-447 (2004). [CrossRef] [PubMed]
  7. R. Guo, Z. Li, Z. Jiang, D. Yuan, W. Huang, and A. Xia, "Log-pile photonic crystal fabricated by two-photon photopolymerization," J. Opt. A, Pure Appl. Opt. 7, 396-399 (2005). [CrossRef]
  8. M. Deubel, M. Wegener, S. Linden, G. von Freymann, and S. John, "3D-2D-3D photonic crystal heterostructures fabricated by direct laser writing," Opt. Lett. 31, 805-807 (2006). [CrossRef] [PubMed]
  9. Y. Zeng, X. Chen, and W. Lu, "Electromagnetic modes in semi-infinite photonic crystals," Physica E (Amsterdam) 30, 55-58 (2005). [CrossRef]
  10. T. P. White, C. M. De Sterke, R. C. McPhedran, and L. C. Botten, "Highly efficient wide-angle transmission into uniform rod-type photonic crystals," Appl. Phys. Lett. 87, 111107 (2005). [CrossRef]
  11. Y.-C. Hsue and T.-J. Yang, "Applying a modified plane-wave expansion method to the calculations of transmittivity and reflectivity of a semi-infinite photonic crystal," Phys. Rev. E 70, 016706 (2004). [CrossRef]
  12. Z.-Y. Li and K.-M. Ho, "Light propogation in semi-infinite photonic crystals and related waveguide structures," Phys. Rev. B 68, 155101 (2003). [CrossRef]
  13. E. Istrate, A. A. Green, and E. H. Sargent, "Behavior of light at photonic crystal interfaces," Phys. Rev. B 71, 195122 (2005). [CrossRef]
  14. X. Yu and S. Fan, "Anomalous reflections at photonic crystal surfaces," Phys. Rev. E 70, 055601 (2004). [CrossRef]
  15. E. Schonbrun, Q. Wu, W. Park, T. Yamashita, and C. J. Summers, "Polarization beam splitter based on a photonic crystal heterostructure," Opt. Lett. 31, 3104-3106 (2006). [CrossRef] [PubMed]
  16. X. Ao, L. Liu, L. Wosinski, and S. He, "Polarization beam splitter based on a two-dimensional photonic crystal of pillar type," Appl. Phys. Lett. 89, 171115 (2006). [CrossRef]
  17. B. Momeni, A. A. Eftekhar, and A. Adibi, "Effective impedence model for analysis of reflection at the interfaces of photonic crystals," Opt. Lett. 32, 778-780 (2007). [CrossRef] [PubMed]

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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited