OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 10, Iss. 15 — Jul. 29, 2002
  • pp: 670–684

Momentum space design of high-Q photonic crystal optical cavities

Kartik Srinivasan and Oskar Painter  »View Author Affiliations

Optics Express, Vol. 10, Issue 15, pp. 670-684 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (1247 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The design of high quality factor (Q) optical cavities in two dimensional photonic crystal (PC) slab waveguides based upon a momentum space picture is presented. The results of a symmetry analysis of defect modes in hexagonal and square host photonic lattices are used to determine cavity geometries that produce modes which by their very symmetry reduce the vertical radiation loss from the PC slab. Further improvements in the Q are achieved through tailoring of the defect geometry in Fourier space to limit coupling between the dominant momentum components of a given defect mode and those momentum components which are either not reflected by the PC mirror or which lie within the radiation cone of the cladding surrounding the PC slab. Numerical investigations using the finite-difference time-domain (FDTD) method predict that radiation losses can be significantly suppressed through these methods, culminating with a graded square lattice design whose total Q approaches 105 with a mode volume of approximately 0.25 cubic half-wavelengths in vacuum.

© 2002 Optical Society of America

OCIS Codes
(140.5960) Lasers and laser optics : Semiconductor lasers
(230.5750) Optical devices : Resonators

ToC Category:
Research Papers

Original Manuscript: June 3, 2002
Revised Manuscript: July 17, 2002
Published: July 29, 2002

Kartik Srinivasan and Oskar Painter, "Momentum space design of high-Q photonic crystal optical cavities," Opt. Express 10, 670-684 (2002)

Sort:  Journal  |  Reset  


  1. H. Yokoyama, ???Physics and Device Application of Optical Microcavities,??? Science 256, 66???70 (1992) [CrossRef] [PubMed]
  2. J. L. Jewell, J. P. Harbison, A. Scherer, Y. H. Lee, andL. T. Florez, ???Vertical-Cavity Surface-Emitting Lasers: Design, Growth, Fabrication, Characterization,??? IEEE J. Quantum Electron. 27, 1332???1346 (1991). [CrossRef]
  3. S. L. McCall, A. F. J. Levi, R. E. Slusher, S. J. Pearton, and R . A. Logan, ???Whispering-gallery mode lasers,??? Appl. Phys. Lett. 60, 289???291 (1992). [CrossRef]
  4. S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, ???Ultralow-threshold Raman laser using spherical dielectric microcavity,??? Nature 415, 621???623 (2002). [CrossRef] [PubMed]
  5. B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, ???Vertically Coupled Gl ass Microring Resonator Channel Dropping Filters,??? IEEE Photonics Tech. Lett. 11, 215???217 (1999). [CrossRef]
  6. S. Noda, A. Chutinan, and M. Imada, ???Trapping and emission of photons by a single defect in a photonic bandgap structure,??? Nature 407, 608???610 (2000). [CrossRef] [PubMed]
  7. S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, ???Channel drop filters in photonic crystals,??? Opt. Express 3, 4???11 (1998), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-3-1-4">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-3-1-4</a>. [CrossRef] [PubMed]
  8. G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, ???Nonlinear optics of normalmode-coupling semiconductor microcavities,??? Rev. Mod. Phys. 71, 1591???1639 (1999). [CrossRef]
  9. D. M. Atkin, P. S. J. Russell, T. A. Birks, and P. J. Roberts, ???Photonic band structure of guided Bloch modes in high index films fully etched through with periodic microstructure,??? J. Mod. Opt. 43, 1035???1053 (1996). [CrossRef]
  10. S. G. Johnson, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejaki, ???Guided modes in photonic crystal slabs,??? Phys. Rev. B 60, 5751???5758 (1999). [CrossRef]
  11. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, ???Coupled-resonator optical waveguide: a proposal and analysis,??? Opt. Lett. 24, 711???713 (1999). [CrossRef]
  12. C. Smith, R. De la Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. Krauss, U. Oesterle, andR . Houdre, ???Coupled guide and cavity in a two-dimensional photonic crystal,??? Appl. Phys. Lett. 78, 1487???1489 (2001). [CrossRef]
  13. 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 3, S161???S170 (2001). [CrossRef]
  14. O. J. Painter, A. Husain, A. Scherer, J.D. O???Brien, I.Kim, and P.D.Dapkus, ???RoomTemperature Photonic Crystal Defect Lasers at Near-Infrared Wavelengths in InGaAsP,??? J. Lightwave Tech. 17, 2082???2088 (1999). [CrossRef]
  15. O. Painter, J. Vu¡ckovic, andA . Scherer, ???Defect Modes of a Two-Dimensional Photonic Crystal in an Optically Thin Dielectric Slab,??? J. Opt. Soc. Am. B 16, 275???285 (1999). [CrossRef]
  16. J. Vu¡ckovic, M. Lon¡car, H. Mabuchi, and A . Scherer, ???Design of photonic crystal microcavities for cavity QED,??? Phys. Rev. E 65 (2002).
  17. T. Yoshie, J. Vu¡ckovic, A. Scherer, H. Chen, and D. Deppe, ???High quality two-dimensional photonic crystal slab cavities,??? Appl. Phys. Lett. 79, 4289???4291 (2001). [CrossRef]
  18. O. Painter andK . Srinivasan, ???Localizedd efect states in two-dimensional photonic crystal slab waveguides: a simple model based upon symmetry analysis,??? submitted to Phys. Rev. B (2002).
  19. This can be viewed in the far-field as elimination of lower-order multi-pole radiation components [23].
  20. E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, ???Donor and acceptor modes in photonic band-structure,??? Phys. Rev. Lett. 67, 3380???3383 (1991). [CrossRef] [PubMed]
  21. M. Tinkham, Group Theory and Quantum Mechanics, International Series in Pure and Applied Physics (McGaw-Hill, Inc., New York, NY, 1964).
  22. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, Germany, 2001).
  23. S. G. Johnson, S. Fan, A. Mekis, andJ. D. Joannopoulos, ???Multipole-cancellation mechanism for high-Q cavities in the absence of a complete photonic bandgap,??? Appl. Phys. Lett. 78, 3388???3390 (2001). [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