OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 20 — Oct. 4, 2004
  • pp: 4864–4874

Planar corner-cut square microcavities: ray optics and FDTD analysis

Chung Yan Fong and Andrew W. Poon  »View Author Affiliations

Optics Express, Vol. 12, Issue 20, pp. 4864-4874 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (1155 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We analyze corner-cut square microcavities as alternative planar microcavities. Ray tracing shows open-ray orbits that are 90°-rotated can oscillate between each other upon reflections at the 45° corner-cut facets, and have the same sense of circulation. Our two-dimensional finite-difference time-domain simulations suggest that a waveguide-coupled corner-cut square microcavity with an optimum cut size supports traveling-wave resonances with desirable add-drop filter responses. The mode-field pattern evolutions confirm the concept of modal oscillations. By applying Fourier transform on the mode-field patterns, we analyze the modal composition in k-space. The add-drop filter responses can be optimized by fine-tuning the waveguide width.

© 2004 Optical Society of America

OCIS Codes
(230.5750) Optical devices : Resonators
(260.5740) Physical optics : Resonance

ToC Category:
Research Papers

Original Manuscript: August 26, 2004
Revised Manuscript: September 20, 2004
Published: October 4, 2004

Chung Yan Fong and Andrew Poon, "Planar corner-cut square microcavities: ray optics and FDTD analysis," Opt. Express 12, 4864-4874 (2004)

Sort:  Journal  |  Reset  


  1. D. Rafizadeh, J. P. Zhang, S. C. Hagness, A. Taflove, K. A. Stair, S. T. Ho and R. C. Tiberio, �??Waveguide-coupled AlGaAs/GaAs microcavity ring and disk resonators with high finesse and 21.6-nm free spectral range,�?? Opt. Lett. 22, 1244-1246 (1997). [CrossRef] [PubMed]
  2. B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling and W. Greene, �??Ultra-compact Si-SiO2 microring resonator optical channel dropping filters,�?? IEEE Photon. Technol. Lett. 10, 549-551 (1998). [CrossRef]
  3. B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, �??Vertically coupled glass microring resonator channel dropping filters,�?? IEEE Photon. Technol. Lett. 11, 215-217, (1999). [CrossRef]
  4. Y. Yanagase, S. Suzuki, Y. Kokubun and S.T. Chu, "Box-like filter response and expansion of FSR by a vertically triple coupled microring resonator filter," J. Lightwave Technol. 20, 1525-1529 (2002). [CrossRef]
  5. T. Barwicz, M. A. Popovic, P. T. Rakich, M. R. Watts, H. A. Haus, E. P. Ippen, H. I. Smith, "Microring-resonator-based add-drop filters in SiN: fabrication and analysis," Opt. Express 12, 1437-1442, (2004). [CrossRef] [PubMed]
  6. S. T. Chu, B. E. Little, V. Van, J. V. Hryniewicz, P. P. Absil, F. G. Johnson, D. Gill, O. King, F. Seiferth, M. Trakalo and J. Shantona, �??Compact full C-band tunable filters for 50 GHz channel spacing based on high order micro-ring resonators,�?? in proceedings of Optical Fiber Communication Conference (OFC), Los Angeles, California, 22-27 February 2004.
  7. S. Blair and Y. Chen, �??Resonant-Enhanced Evanescent-Wave Fluorescence Biosensing with Cylindrical Optical Cavities,�?? Appl. Opt. 40, 570-582, (2001). [CrossRef]
  8. R. W. Boyd and J. E. Heebner, �??Sensitive disk resonator photonic biosensor,�?? Appl. Opt. 40, 5742-5747, (2001). [CrossRef]
  9. E. Krioukov, D.J. W. Klunder, A. Driessen, J. Greve and C. Otto, �?? Sensor based on an integrated optical microcavity,�?? Opt. Lett. 27, 512-514, (2002). [CrossRef]
  10. C. Y. Chao and L. J. Guo, "Biochemical sensors based on polymer microrings with sharp asymmetrical resonance," Appl. Phys. Lett. 83, 1527-1529, (2003). [CrossRef]
  11. R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L. C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun and P. T. Ho, "Laterally coupled InP-based single-mode microracetrack notch filter," IEEE Photon. Technol. Lett. 15, 1082-1084(2003). [CrossRef]
  12. C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus and J. D. Joannopoulos, �??Coupling of modes analysis of resonant channel add-drop filters,�?? IEEE J. Quantum Electron. 35, 1322-1331 (1999). [CrossRef]
  13. A. W. Poon, F. Courvoisier and R. K. Chang, �??Multimode resonances in square-shaped optical microcavities,�?? Opt. Lett. 26, 632-634 (2001). [CrossRef]
  14. Y. L. Pan and R. K. Chang, �??Highly efficient prism coupling to whispering gallery modes of a square µ-cavity,�?? Appl. Phys. Lett. 82, 487-489 (2003). [CrossRef]
  15. 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]
  16. W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, �??Modes in square resonators,�?? IEEE J. Quantum Electron. 39, 1563-1566 (2003). [CrossRef]
  17. H. T. Lee and A. W. Poon, "Fano resonances in prism-coupled square micropillars," Opt. Lett. 29, 5-7, (2004). [CrossRef] [PubMed]
  18. C. Y. Fong and A. W. Poon, �??Corner-cut square microcavity coupled waveguide crossing,�?? in proceedings of Conference on Lasers and Electro-Optics (CLEO), San Francisco, California 16-21 May 2004.
  19. G. D. Chern, A. W. Poon, R. K. Chang, T. Ben-Messaoud, O. Alloschery, E. Toussaere, J. Zyss and S.-Y. Kuo, "Direct evidence of open ray orbits in a square two-dimensional resonator of dye-doped polymers," Opt. Lett. 29, 1674-1676 (2004). [CrossRef] [PubMed]
  20. N. Ma, C. Li and A. W. Poon, �??Laterally coupled hexagonal micro-pillar resonator add-drop filters in silicon nitride,�?? to be published in IEEE Photonics Technol. Lett.
  21. C. Li, N. Ma, and A. W. Poon, �??Waveguide-coupled octagonal microdisk channel add-drop filters,�?? Opt. Lett. 29, 471-473 (2004). [CrossRef] [PubMed]
  22. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Boston: Artech House, 2000), Chapter 16.
  23. FullWAVE, Rsoft Inc. Research Software, <a href="http://www.rsoftinc.com.">http://www.rsoftinc.com."</a>

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