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. 5 — May. 1, 2005
  • pp: 1092–1099

Classification of modes in suspended-membrane, 19-missing-hole photonic-crystal microcavities

Wan Kuang, Jiang R. Cao, Tian Yang, Sang-Jun Choi, Po-Tsung Lee, John D. O’Brien, and P. Daniel Dapkus  »View Author Affiliations


JOSA B, Vol. 22, Issue 5, pp. 1092-1099 (2005)
http://dx.doi.org/10.1364/JOSAB.22.001092


View Full Text Article

Enhanced HTML    Acrobat PDF (1091 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Suspended-membrane 19-missing-hole microcavities in triangular lattice photonic crystals are numerically modeled by a three-dimensional finite-difference time-domain method. The resonance frequencies and the quality factors are calculated by interpolation of the discrete Fourier transformation series of the field with a Padé polynomial. The numerical results are compared with the photoluminescent spectra measured on the cavity of a nearly identical dimension. The symmetry properties of the defect modes are analyzed with the group theory, and resonance modes in the photonic-crystal cavities are identified as irreducible representations of the C 6 v point group. The far-field radiations of the identified modes in the free space are also calculated by use of a vector Green’s function. It is found that the numerical results agree very well with the experimental measurement in various aspects.

© 2005 Optical Society of America

OCIS Codes
(140.3460) Lasers and laser optics : Lasers
(230.3990) Optical devices : Micro-optical devices

Citation
Wan Kuang, Jiang R. Cao, Tian Yang, Sang-Jun Choi, Po-Tsung Lee, John D. O'Brien, and P. Daniel Dapkus, "Classification of modes in suspended-membrane, 19-missing-hole photonic-crystal microcavities," J. Opt. Soc. Am. B 22, 1092-1099 (2005)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-5-1092


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. O. Painter, R. K. Lee, A. Yariv, A. Scherer, J. D. O'Brien, P. D. Dapkus, and I. Kim, "Two-dimensional photonic crystal defect laser," Science 284, 1819-1821 (1999). [CrossRef] [PubMed]
  2. J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608-1-11 (2001). [CrossRef]
  3. H.-Y. Ryu, H.-G. Park, and Y.-H. Lee, "Two-dimensional photonic crystal semiconductor laser: computational design, fabrication, and characterization," IEEE J. Sel. Top. Quantum Electron. 8, 891-908 (2002) [CrossRef]
  4. P.-T. Lee, J. R. Cao, S.-J. Choi, Z. J. Wei, J. D. O'Brien, and P. D. Dapkus, "Room-temperature operation of VCSEL-pumped photonic crystal lasers," IEEE Photonics Technol. Lett. 4, 435-437 (2002).
  5. K. Srinivasan and O. Painter, "Fourier space design of high-Q cavities in standard and compressed hexagonal lattice photonic crystals," Opt. Express 11, 579-593 (2003), http://www.opticsexpress.org. [CrossRef] [PubMed]
  6. K. S. Yee, "Numerical solution to initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. AP-14, 302-307 (1966).
  7. A. Taflove, Computational Electrodynamics--The Finite-Difference Time-Domain Method (Artech House, Boston, Mass., 1995).
  8. S. Dey and R. Mittra, "Efficient computation of resonant frequencies and quality factors of cavities via a combination of the finite-difference time-domain technique and the Padé approximation," IEEE Microw. Guid. Wave Lett. 8, 415-417 (1998). [CrossRef]
  9. V. Heine, Group Theory in Quantum Mechanics (Dover, New York, 1993).
  10. O. Painter, K. Srinivasan, J. D. O'Brien, A. Scherer, and P. D. Dapkus, "Tailoring of the resonant mode properties of optical nanocavities in two-dimensional photonic crystal slab waveguides," J. Opt. A, Pure Appl. Opt. 3, S161-70 (2001) [CrossRef]
  11. M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill, San Francisco, Calif., 1964).
  12. A. V. Oppenheim and R. W. Schafer, Discrete-time Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1989).
  13. K. Sakoda, Optical Properties of Photonic Crystals (Springer, New York, 2001). [CrossRef]
  14. J. R. Cao, W. Kuang, Z. J. Wei, S.-J. Choi, H. Yu, M. Bagheri, J. D. O'Brien, and P. D. Dapkus, "Sapphire-bonded photonic crystal microcavity lasers and their far-field radiation patterns," IEEE Photonics Technol. Lett. 17, 4-6 (2005). [CrossRef]
  15. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962).

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