OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 11 — Nov. 1, 1999
  • pp: 2705–2712

Characterization of defect modes in finite bidimensional photonic crystals

E. Centeno and D. Felbacq  »View Author Affiliations

JOSA A, Vol. 16, Issue 11, pp. 2705-2712 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (436 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study finite-size bidimensional photonic crystals doped by a microcavity. We characterize the defect modes by developing a simple model of an infinitely conducting cavity. This model allows the prediction of the number of defect modes and their evolution versus the conicity angle. Finally, we present a method for the computation of the quality factor of the microcavity by means of the poles of the scattering matrix. We demonstrate numerically that the quality factor grows exponentially with respect to the size of the crystal. These results obtained in the frequency domain are checked by solving Maxwell’s equations in the time domain.

© 1999 Optical Society of America

OCIS Codes
(230.4910) Optical devices : Oscillators
(240.7040) Optics at surfaces : Tunneling
(260.5740) Physical optics : Resonance
(290.4210) Scattering : Multiple scattering

Original Manuscript: February 1, 1999
Revised Manuscript: May 13, 1999
Manuscript Accepted: May 13, 1999
Published: November 1, 1999

E. Centeno and D. Felbacq, "Characterization of defect modes in finite bidimensional photonic crystals," J. Opt. Soc. Am. A 16, 2705-2712 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. Tayeb, D. Maystre, “Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities,” J. Opt. Soc. Am. A 14, 3323–3332 (1997). [CrossRef]
  2. J. D. Joannopoulos, R. Meade, J. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J., 1995).
  3. M. Sigalas, C. M. Soukoulis, E. N. Economou, C. T. Chan, K. M. Ho, “Photonic band gaps and defects in two dimensions: studies of transmission coefficient,” Phys. Rev. B 48, 14121–14126 (1996). [CrossRef]
  4. P. R. Villeneuve, S. Fan, J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837–7842 (1996). [CrossRef]
  5. D. Felbacq, G. Tayeb, D. Maystre, “Scattering by a random set of parallel cylinders,” J. Opt. Soc. Am. A 11, 2526–2538 (1994). [CrossRef]
  6. D. Felbacq, G. Tayeb, D. Maystre, “Localization of light by a set of parallel cylinders,” J. Mod. Opt. 42, 473–482 (1995). [CrossRef]
  7. D. Felbacq, G. Bouchitté, “Homogenization of a set of parallel fibers,” Waves Random Media 7, 245–256 (1997). [CrossRef]
  8. E. Centeno, D. Felbacq, “Rigorous vector diffraction of electromagnetic waves by bidimensional crystals,” submitted to J. Opt. Soc. Am. A.
  9. R. Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980).
  10. A. Figotin, A. Klein, “Localization of light in lossless inhomogeneous dielectrics,” J. Opt. Soc. Am. A 15, 1423–1435 (1998). [CrossRef]
  11. A. Figotin, A. Klein, “Localized classical waves created by defects,” J. Stat. Phys. 86, 165–177 (1997). [CrossRef]
  12. D. Felbacq, “Defect modes in one-dimensional periodic media,” (in preparation; available from the author at the address on the title page).
  13. M. Abramowitz, I. A. Stegun, eds. Handbook of Mathematical Functions (Dover, New York, 1970).
  14. R. Feynman, The Feynman Lectures on Physics (Addison-Wesley, Reading, Mass., 1965), Vol. 2.
  15. E. Centeno, D. Felbacq, “Guiding waves with photonic crystals,” Opt. Commun. 160, 57–60 (1999). [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