OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 1 — Jan. 1, 2012
  • pp: 68–74

Transmission and dispersion of coupled double-ring resonators

Xin Liu, Mei Kong, and He Feng  »View Author Affiliations

JOSA B, Vol. 29, Issue 1, pp. 68-74 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (314 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Based on the symmetry between the transfer characteristics of two coupled double-ring resonators (CDRRs) with symmetrical loss and gain distributions, the transmission and dispersion characteristics of CDRRs with gain in both rings and gain in one ring and loss in the other are analyzed systematically. It is shown that besides coupled-resonator-induced transparency and absorption as in total lossy structures, transmission spectra of inverse transparency and absorption can also exist when gain is introduced. The lasing threshold, classification of transmission response, and group velocity control of different loss and gain structures at resonance and split modes are provided.

© 2011 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(230.3120) Optical devices : Integrated optics devices
(230.5750) Optical devices : Resonators
(230.4555) Optical devices : Coupled resonators
(250.4745) Optoelectronics : Optical processing devices

ToC Category:
Optical Devices

Original Manuscript: July 29, 2011
Revised Manuscript: October 26, 2011
Manuscript Accepted: October 27, 2011
Published: December 9, 2011

Xin Liu, Mei Kong, and He Feng, "Transmission and dispersion of coupled double-ring resonators," J. Opt. Soc. Am. B 29, 68-74 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. B. Liu, A. Shakouri, and J. E. Bowers, “Wide tunable double ring resonator coupled lasers,” IEEE Photon. Technol. Lett. 14, 600–602 (2002). [CrossRef]
  2. J. M. Choi, R. K. Lee, and A. Yariv, “Control of critical coupling in a ring resonator fiber configuration: application to wavelength selective switching, modulation, amplification and oscillation,” Opt. Lett. 26, 1236–1238 (2001). [CrossRef]
  3. I. M. White, H. Zhu, J. D. Suter, N. M. Hanumegowda, H. Oveys, M. Zourob, and X. Fan, “Refractometric sensors for lab-on-a-chip based on optical ring resonators,” IEEE Sens. J. 7, 28–35 (2007). [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. D. G. Rabus, “Devices,” in Integrated Ring Resonators: The Compendium (Springer, 2007), pp. 125–209.
  6. J. Heebner, R. Grover, and T. Ibrahim, “Distributed microresonator systems,” in Optical Microresonators: Theory, Fabrication, and Applications (Springer, 2008), pp. 175–215.
  7. J. Scheuer, J. K. S. Poon, G. T. Paloczi, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing & storage of light,” Opt. Photon. News 16, 36–40 (2005). [CrossRef]
  8. A. Melloni, F. Morichetti, and M. Martinelli, “Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures,” Opt. Quantum Electron. 35, 365–379 (2003). [CrossRef]
  9. J. E. Heebner, R. W. Boyd, and Q. H. Park, “Slow light, induced dispersion, enhanced nonlinearity, and optical solitons in a resonator-array waveguide,” Phys. Rev. E 65, 036619 (2002). [CrossRef]
  10. J. B. Khurgin, “Optical buffers based on slow light in electromagnetically induced transparent media and coupled resonator structures: comparative analysis,” J. Opt. Soc. Am. B 22, 1062–1074 (2005). [CrossRef]
  11. H. P. Uranus and H. J. W. M. Hoekstra, “Modeling of loss-induced superluminal and negative group velocity in two-port ring-resonator circuits,” J. Lightwave Technol. 25, 2376–2384 (2007). [CrossRef]
  12. H. P. Uranus, L. Zhuang, C. G. H. Roeloffzen, and H. J. W. M. Hoekstra, “Pulse advancement and delay in an integrated-optical two-port ring-resonator circuit: direct experimental observations,” Opt. Lett. 32, 2620–2622 (2007). [CrossRef] [PubMed]
  13. J. E. Heebner and R. W. Boyd, “‘Slow’ and ‘fast’ light in resonator-coupled waveguides,” J. Mod. Opt. 49, 2629–2636 (2002). [CrossRef]
  14. K. Totsuka, N. Kobayashi, and M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98, 213904(2007). [CrossRef] [PubMed]
  15. D. D. Smith and H. Chang, “Coherence phenomena in coupled optical resonators,” J. Mod. Opt. 51, 2503–2513 (2004). [CrossRef]
  16. Y. Hao and M. Kong, “Symmetry between the transfer properties of micro-ring resonators with gain and with loss,” J. Mod. Opt. 57, 2182–2186 (2010). [CrossRef]
  17. H. Chang and D. D. Smith, “Gain-assisted superluminal propagation in coupled optical resonators,” J. Opt. Soc. Am. B 22, 2237–2241 (2005). [CrossRef]
  18. H. Chang, D. D. Smith, K. A. Fuller, J. O. Dimmock, D. A. Gregory, and D. O. Frazier, “Slow and fast light in coupled microresonators,” Proc. SPIE 5735, 40–51 (2005). [CrossRef]
  19. Y. Lu, L. Xu, Y. Yu, P. Wang, and J. Yao, “Double-wavelength Fano resonance and enhanced coupled-resonator-induced transparency in a double-microcavity resonator system,” J. Opt. Soc. Am. A 23, 1718–1721 (2006). [CrossRef]
  20. H. Shen, J. Chen, X. Li, and Y. Wang, “Group delay and dispersion analysis of compound high order microring resonator all-pass filter,” Opt. Commun. 262, 200–205 (2006). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited