OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 12 — Dec. 1, 2006
  • pp: 2601–2604

Special kind of photonic crystals with omnidirectional bandgaps

Zhaona Wang and Dahe Liu  »View Author Affiliations

JOSA B, Vol. 23, Issue 12, pp. 2601-2604 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (181 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



General conditions for obtaining omnidirectional bandgaps (OBG) were derived based on consideration of the permeability of the material. It was found that the OBG is a universal property of a special kind of photonic crystal (PC) comprising two alternate layers with different wave impedances and with the same product of permittivity and permeability (not only the refractive index). Moreover, for this kind of PC, the OBG can be broadened by decreasing the refractive index of the ambient medium and/or increasing the ratio between the wave impedances of the components of the PC.

© 2006 Optical Society of America

OCIS Codes
(000.4930) General : Other topics of general interest
(160.3820) Materials : Magneto-optical materials
(220.4830) Optical design and fabrication : Systems design

ToC Category:
Photonic Crystals

Original Manuscript: April 14, 2006
Revised Manuscript: August 10, 2006
Manuscript Accepted: August 16, 2006

Zhaona Wang and Dahe Liu, "Special kind of photonic crystals with omnidirectional bandgaps," J. Opt. Soc. Am. B 23, 2601-2604 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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. S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, 'Large omnidirectional band gaps in metallodielectric photonic crystals,' Phys. Rev. B 54, 11245-11251 (1996). [CrossRef]
  4. K. Busch and S. John, 'Photonic band gap formation in certain self-organizing systems,' Phys. Rev. E 58, 3896-3908 (1998). [CrossRef]
  5. 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]
  6. 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]
  7. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, 'A dielectric omnidirectional reflector,' Science 282, 1679-1682 (1998). [CrossRef] [PubMed]
  8. I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, 'Complete band gaps in one-dimensional left-handed periodic structures,' Phys. Rev. Lett. 95, 193903-4 (2005). [CrossRef]
  9. K. Ren, X. Ren, R. Li, J. Zhou, and D. Liu, 'Creating 'defects' in photonic crystals by controlling polarizations,' Phys. Lett. A 325, 415-419 (2004). [CrossRef]
  10. J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, 'Omnidirectional reflection from a one-dimensional photonic crystal,' Opt. Lett. 23, 1573-1575 (1998). [CrossRef]
  11. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, 'Observation of total omnidirectional reflection from a one-dimensional dielectric lattice,' Appl. Phys. A 68, 25-28 (1999). [CrossRef]
  12. Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, and E. L. Thomas, 'Guiding optical light in air using an all-dielectric structure,' J. Lightwave Technol. LT17, 2039-2041 (1999). [CrossRef]
  13. M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, 'An all-dielectric coaxial waveguide,' Science 289, 415-420 (2000). [CrossRef] [PubMed]
  14. S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, 'External reflection from omnidirectional dielectric mirror fibers,' Science 296, 510-514 (2002). [CrossRef] [PubMed]
  15. B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, 'Wavelength-scalable hollow optical fibres with large photonic bandgaps for CO2 laser transmission,' Nature 420, 650-653 (2002). [CrossRef] [PubMed]
  16. C. S. Kee, J. E. Kim, and H. Y. Park, 'Omnidirectional reflection bands of one-dimensional magnetic photonic crystals,' J. Opt. A 6, 1086-1088 (2004). [CrossRef]
  17. J. B. Pendry, 'Negative refraction makes a perfect lens,' Phys. Rev. Lett. 85, 3966-3969 (2000). [CrossRef] [PubMed]
  18. S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, 'Experimental demonstration of near-infrared negative-index metamaterials,' Phys. Rev. Lett. 95, 137404 (2005). [CrossRef] [PubMed]
  19. A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, 'Nanofabricated media with negative permeability at visible frequencies,' Nature 438, 335-338 (2005). [CrossRef] [PubMed]
  20. M. Born and E. Wolf, Principles of Optics (Pergamon, 1975), Chap. 1.
  21. C. S. Kee, E. J. Kim, H. Y. Park, S. J. Kim, H. C. Song, Y. S. Kwon, N. H. Myung, S. Y. Shin, and H. Lim, 'Essential parameter in the formation of photonic band gaps,' Phys. Rev. E 59, 4695-4698 (1999). [CrossRef]
  22. L. Wu, S. He, and L. Chen, 'On unusual narrow transmission bands for a multi-layered periodic structure containing left-handed materials,' http://www.arxiv:physics/0211007 (2002).
  23. L. Wang, H. Chen, and S. Zhu, 'Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials,' Phys. Rev. B 70, 245102 (2004). [CrossRef]
  24. Fransisco Villa and J. A. Gaspar-Armenta, 'Electromagnetic surface waves: photonic crystal-photonic crystal interface,' Opt. Commun. 223, 109-115 (2003). [CrossRef]
  25. J. J. Vera, 'Some properties of multi-layer films with periodic structure,' Opt. Acta 11, 315-331 (1964). [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.


Fig. 1 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited