OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 23 — Nov. 15, 2004
  • pp: 5711–5722

Dispersion-guided resonances in two-dimensional photonic-crystal-embedded microcavities

Kevin K. Tsia and Andrew W. Poon  »View Author Affiliations


Optics Express, Vol. 12, Issue 23, pp. 5711-5722 (2004)
http://dx.doi.org/10.1364/OPEX.12.005711


View Full Text Article

Enhanced HTML    Acrobat PDF (2593 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We analyze dispersion-based guiding of resonances in two-dimensional (2-D) photonic-crystal-embedded microcavities (PCEMs) that comprise a finite-size square lattice of submicrometer air holes embedded in a high-index contrast square microcavity. Our 2-D finite-difference time-domain simulations of waveguide side-coupled PCEMs suggest high-Q quasi-periodic multimodes within the PC first band. The Q can increase by orders of magnitude as the mode frequency approaches the band-edge frequency or as the lattice dimension increases. By mapping the Fourier transform of the mode-field distributions onto the PC dispersion surface, we show that the modes k-vectors and group velocities are pointing near the ΓM direction.

© 2004 Optical Society of America

OCIS Codes
(230.3990) Optical devices : Micro-optical devices
(260.5740) Physical optics : Resonance

ToC Category:
Research Papers

History
Original Manuscript: August 26, 2004
Revised Manuscript: October 29, 2004
Published: November 15, 2004

Citation
Kevin Tsia and Andrew Poon, "Dispersion-guided resonances in two-dimensional photonic-crystal-embedded microcavities," Opt. Express 12, 5711-5722 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-23-5711


Sort:  Journal  |  Reset  

References

  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
  2. K. J. Vahala, �??Optical microcavities,�?? Nature 424, 839-846 (2003). [CrossRef] [PubMed]
  3. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O�??Brien, P. D. Dapkus, and I. Kim, �??Two-dimensional photonic band-gap defect mode laser,�?? Science 284, 1819-1821 (1999). [CrossRef] [PubMed]
  4. M. Loncar, D. Nedeljkovic, T. Doll, J. Vuckovic, A. Scherer, and T. P. Pearsall, �??Waveguiding in planar photonic crystals,�?? Appl. Phys. Lett. 77, 1937-1939 (2000). [CrossRef]
  5. J. Witzens, M. Loncar, and A. Scherer, �??Self-collimation in planar photonic crystals,�?? IEEE J. Sel. Top. Quant. Electron. 8, 1246-1257 (2002). [CrossRef]
  6. L. Wu, M. Mazilu, and T. F. Krauss, �??Beam steering in planar-photonic crystals: from superprism to supercollimator,�?? J. Lightwave Technol. 21, 561-566 (2003) [CrossRef]
  7. M. Notomi, �??Theory of light propagation in strongly modulated photonic crystals: Refraction like behavior in the vicinity of the photonic band gap,�?? Phys. Rev. B 62, 10696�??10705 (2000). [CrossRef]
  8. D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, J. Murakowski, �??Dispersion-based optical routing in photonic crystals,�?? Opt. Lett. 29, 50-52 (2004). [CrossRef] [PubMed]
  9. S. Shi, A. Sharkawy, C. Chen, D. M. Pustai, and D. W. Prather, �??Dispersion-based beam splitter in photonic crystals,�?? Opt. Lett. 29 617-619 (2004). [CrossRef] [PubMed]
  10. X. Yu, and S. Fan, �??Bends and splitters for self-collimated beams in photonic crystals,�?? Appl. Phys. Lett 83, 3251-3253 (2003). [CrossRef]
  11. C. Manolatou, M.J. Khan, S. Fan, P.R. Villeneuve, H.A. Haus, J. D. Joannopoulos, �??Coupling of modes analysis of resonant channel add-drop filters,�?? IEEE J. Quant. Electron. 35, 1322-1331 (1999). [CrossRef]
  12. A. W. Poon, F. Couroisier, and R. K. Chang, �??Multimode resonances in square-shaped optical microcavities,�?? Opt. Lett. 26, 632-634 (2001). [CrossRef]
  13. C. Y. Fong and A. W. Poon, �??Mode field patterns and preferential mode coupling in planar waveguide-coupled square microcavities,�?? Opt. Express 11, 2897-2904 (2003) <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-22-2897">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-22-2897</a>. [CrossRef] [PubMed]
  14. W. H. Guo, Y. Z. Huang, Q. Y. Lu, L. J. Yu, �??Modes in square resonators, �?? IEEE J. Quant. Electron. 39, 1563-1566 (2003). [CrossRef]
  15. K. K. Tsia and A. W. Poon, �??Photonic-crystal-embedded microcavities,�?? presented at 2004 Conference on Lasers and Electro Optics/International Quantum Electronics Conference, San Francisco, 16-21 May, 2004.
  16. K. K. Tsia and A. W. Poon, �??Silicon-based waveguide-coupled planar photonic-crystal-embedded microcavities, �?? presented at 1st International Conference on Group IV Photonics, Hong Kong, 29 Sept-1 Oct, 2004.
  17. J. M. Bendickson, and J. P. Dowling, �??Analytic expressions for electromagnetic mode density in finite, onedimensional, photonic band-gap structures,�?? Phys. Rev. E 53, 4107-4121 (1996). [CrossRef]
  18. G. D�?? Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, �??Photonic band edge effects in finite structures and application to �?(2) interactions,�?? Phys. Rev. E 64, 016609 1-9 (2001). [CrossRef]
  19. D.-Y. Jeong, Y. H. Ye, and Q. M. Zhang, �??Effective optical properties associated with wave propagation in photonic crystals of finite length along the propagation direction,�?? J. Appl. Phys. 92, 4194-4200 (2002). [CrossRef]
  20. H.-Y. Ryu, and M. Notomi, �??Finite-difference time-domain investigation of band-edge resonant modes in finite-size two-dimensional photonic crystal slab,�?? Phys. Rev. B 68, 045209 1-7 (2003). [CrossRef]
  21. K. Sakoda, �??Numerical analysis of the interference patterns in the optical transmission spectra of a square photonic lattice,�?? J. Opt. Soc. Am. B 14, 1961-1965 (1997). [CrossRef]
  22. Y. H. Ye, J. Ding, D.-Y. Jeong, I. C. Khoo, and Q. M. Zhang, �??Finite-size effect on one dimensional coupled-resonator optical waveguides,�?? Phys Rev. E 69, 056604 1-5 (2004). [CrossRef]
  23. M. Born, and E. Wolf, Principle of Optics (Cambridge University Press 7th Ed. 1999).
  24. BandSOLVE, Rsoft Inc. Research Software, <a href="http://www.rsoftinc.com">http://www.rsoftinc.com</a>.
  25. FullWAVE, Rsoft Inc. Research Software, <a href="http://www.rsoftinc.com">http://www.rsoftinc.com</a>.
  26. S.G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, �??Linear waveguides in photonic-crystals slabs,�?? Phys. Rev. B 62, 8212-8222 (2000). [CrossRef]
  27. J. Vu�?kovi�?, M. Lon�?ar, H. Mabuchi, and A. Scherer, �??Design of photonic crystal microcavities for cavity QED,�?? Phys Rev. E 65, 016608 1-11 (2001). [CrossRef]
  28. N. Ma., C. Li., A.W. Poon, �??Laterally Coupled Hexagonal Micropillar Resonator Add�??Drop Filters in Silicon Nitride,�?? IEEE J. Photon. Lett. 16, 2487-2489 (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.

Supplementary Material


» Media 1: MOV (2456 KB)     
» Media 2: MOV (2525 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited