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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 2 — Jan. 22, 2007
  • pp: 437–448

Nested ring Mach-Zehnder interferometer

S. Darmawan, Y. M. Landobasa, and M. K. Chin  »View Author Affiliations

Optics Express, Vol. 15, Issue 2, pp. 437-448 (2007)

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We propose a new device configuration that incorporates a nested ring with a Mach-Zehnder interferometer. The nested ring is analogous to a dual-bus coupled ring resonator, with the ends of the two buses connected to form a semi-closed loop. With proper design of the length of the U-shaped loop, as well as the coupling coefficient between the ring and the waveguide, the device is capable of generating a box-shaped spectral response. This is shown to be mainly due to the double-Fano resonances that arise from constructive interference between the nested ring and the outer loop. The device is simple in that it requires only one ring, and unique in that it harnesses a pair of Fano resonances to generate a reasonably box-like filter response. The analysis is based on the transfer matrix formalism, and compared and verified with the FDTD simulations.

© 2007 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(230.5750) Optical devices : Resonators

ToC Category:
Integrated Optics

Original Manuscript: October 12, 2006
Revised Manuscript: November 20, 2006
Manuscript Accepted: November 30, 2006
Published: January 22, 2007

S. Darmawan, Y. M. Landobasa, and M. K. Chin, "Nested ring Mach-Zehnder interferometer," Opt. Express 15, 437-448 (2007)

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  1. B. Little, S. Chu, J. Hryniewicz, and P. Absil, "Filter synthesis for periodically coupled microring resonators," Opt. Lett. 25, 344-346 (2000). [CrossRef]
  2. R. Orta, P. Savi, R. Tascone, and D. Trinchero, "Synthesis of multiple-ring-resonator filters for optical systems," IEEE. Photon. Technol. Lett. 7, 1447-1449 (1995). [CrossRef]
  3. R. W. Boyd and J. E. Heebner, "Sensitive disk resonator photonic biosensor," Appl. Opt. 40, 5742-5747 (2001). [CrossRef]
  4. V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, "All-optical control of light on a silicon chip," Nature. 431, 1081-1084 (2004). [CrossRef] [PubMed]
  5. W. Green, R. Lee, G. DeRose, A. Scherer, and A. Yariv, "Hybrid InGaAsP-InP Mach-Zehnder racetrack resonator for thermo optic switching and coupling control," Opt. Express 13, 1651-1659 (2005). [CrossRef] [PubMed]
  6. Y. Lu, J. Yao, X. Li, and P. Wang, "Tunable asymmetrical Fano resonance and bistability in a microcavity-resonator-coupled Mach-Zehnder interferometer," Opt. Lett. 30, 3069-3071 (2005). [CrossRef] [PubMed]
  7. J. Heebner, N. Lepeshkin, A. Schweinsberg, G. Wicks, R. Boyd, R. Grover, and P. Ho, "Enhanced linear and nonlinear optical phase response of AlGaAs microring resonators," Opt. Lett. 29, 769-771 (2004). [CrossRef] [PubMed]
  8. S. Darmawan and M. K. Chin, "Critical coupling, oscillation, reflection and transmission in optical waveguide-ring resonator systems," J. Opt. Soc. Am. B. 23, 834-841 (2006). [CrossRef]
  9. Y. M. Landobasa, S. Darmawan, M. K. Chin, "Matrix analysis of 2-D micro-resonator lattice optical filters," IEEE J. Quantum Electron. 41, 1410-1418 (2005). [CrossRef]
  10. A. Yariv, "Critical coupling and its control in optical waveguide-ring resonator systems," IEEE Photon. Technol. Lett. 14, 483-485 (2004). [CrossRef]
  11. D. G. Rabus, M. Hamacher, U Troppenz, and H. Heidrich, "Optical filters based on ring resonators with integrated semiconductor optical amplifiers in GaInAsP-InP," IEEE J. Sel. Top. Quantum Electron. 8, 1405-1410 (2002). [CrossRef]
  12. C. K. Madsen and J. H. Zhao, Optical filter design and analysis: A signal processing approach (Wiley, New York, 1999).
  13. B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004). [CrossRef]
  14. C. Y. Chao and L. J. Guo, "Reduction of surface scattering loss in polymer mirorings using thermal-reflow technique," IEEE Photon. Technol. Lett. 16, 1498-1500 (2004). [CrossRef]
  15. J. Niehusmann, A. Vörckel, P. H. Bolivar, T. Wahlbrink, W. Henschel, and H. Kurz, "Ultrahigh-quality-factor silicon-on-insulator microring resonator," Opt. Lett. 29, 2861-2863 (2004). [CrossRef]

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