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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 7 — Mar. 26, 2012
  • pp: 7454–7468

Bistability and self-pulsation phenomena in silicon microring resonators based on nonlinear optical effects

Shaowu Chen, Libin Zhang, Yonghao Fei, and Tongtong Cao  »View Author Affiliations

Optics Express, Vol. 20, Issue 7, pp. 7454-7468 (2012)

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Bistability (BS) and self-pulsation (SP) phenomena in silicon microring resonators (MRR) with intense CW light injection are studied. Several nonlinear optical effects including Kerr effect, two-photon absorption, free carrier absorption and free carrier dispersion are taken into account. The threshold optical intensity of BS and SP is derived from the coupled mode theory and a linear stability analysis method. The influences of MRR’s parameters (carrier lifetime, linear loss and radius) and light injection conditions (input power, wavelength detuning) on the characteristics of SP (modulation depth and oscillating frequency) are analyzed and discussed. It is shown that, SP occurs only if the carrier lifetime ranges from several ps to several-hundred ps and the input light intensity is higher than 106W/cm2. The modulation depth of SP can be as large as 8dB and the associated oscillating frequency is in the range from several GHz to beyond 10 GHz.

© 2012 OSA

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
(190.5940) Nonlinear optics : Self-action effects
(230.1150) Optical devices : All-optical devices
(230.4555) Optical devices : Coupled resonators

ToC Category:
Nonlinear Optics

Original Manuscript: January 3, 2012
Revised Manuscript: February 16, 2012
Manuscript Accepted: March 14, 2012
Published: March 19, 2012

Shaowu Chen, Libin Zhang, Yonghao Fei, and Tongtong Cao, "Bistability and self-pulsation phenomena in silicon microring resonators based on nonlinear optical effects," Opt. Express 20, 7454-7468 (2012)

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  1. R. G. Harrison, D. J. Biswas, “Chaos in light,” Nature 321(6068), 394–401 (1986). [CrossRef]
  2. V. Grigoriev, F. Biancalana, “Bistability, multistability and non-reciprocal light propagation in Thue–Morse multilayered structures,” New J. Phys. 12(5), 053041 (2010). [CrossRef]
  3. A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, C. D. Angelis, “Self-pulsing and bistability in nonlinear Bragg gratings,” J. Opt. Soc. Am. B 24(9), 2229–2237 (2007). [CrossRef]
  4. V. Grigoriev, F. Biancalana, “Resonant self-pulsations in coupled nonlinear microcavities,” Phys. Rev. A 83(4), 043816 (2011). [CrossRef]
  5. B. Maes, M. Fiers, P. Bienstman, “Self-pulsing and chaos in short chains of coupled nonlinear microcavities,” Phys. Rev. A 80(3), 033805 (2009). [CrossRef]
  6. A. Sterkhova, J. Luksch, and J. Petracek, “Simulation of self-pulsing and chaos in coupled microring resonators,” in Proceedings of 12th International Conference on Transparent Optical Networks (ICTON), (Munich, Germany, 2010), paper Mo.P.19. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5549300
  7. G. Priem, P. Dumon, W. Bogaerts, D. V. Thourhout, G. Morthier, R. Baets, “Nonlinear effects in ultrasmall Silicon-on-Insulator ring resonators,” Proc. SPIE 6183, 61831A, 61831A-8 (2006). [CrossRef]
  8. G. Priem, P. Dumon, W. Bogaerts, D. Van Thourhout, G. Morthier, R. Baets, “Optical bistability and pulsating behaviour in Silicon-On-Insulator ring resonator structures,” Opt. Express 13(23), 9623–9628 (2005). [CrossRef] [PubMed]
  9. Q. Xu, M. Lipson, “Carrier-induced optical bistability in silicon ring resonators,” Opt. Lett. 31(3), 341–343 (2006). [CrossRef] [PubMed]
  10. K. Ikeda, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Opt. Commun. 30(2), 257–261 (1979). [CrossRef]
  11. K. Ikeda, H. Daido, O. Akimoto, “Optical turbulence: chaotic behavior of transmitted light from a ring cavity,” Phys. Rev. Lett. 45(9), 709–712 (1980). [CrossRef]
  12. K. Ikeda, O. Akimoto, “Instability leading to periodic and chaotic self-pulsations in a bistable optical cavity,” Phys. Rev. Lett. 48(9), 617–620 (1982). [CrossRef]
  13. H. M. Gibbs, F. A. Hopf, D. L. Kaplan, R. L. Shoemaker, “Observation of chaos in optical bistability,” Phys. Rev. Lett. 46(7), 474–477 (1981). [CrossRef]
  14. F. Morichetti, A. Melloni, J. Čáp, J. Petráćek, P. Bienstman, G. Priem, B. Maes, M. Lauritano, G. Bellanca, “Self-phase modulation in slow-wave structures: A comparative numerical analysis,” Opt. Quantum Electron. 38(9-11), 761–780 (2007). [CrossRef]
  15. J. Petráček, A. Sterkhova, J. Luksch, “Numerical scheme for simulation of self-pulsing and chaos in coupled microring resonators,” Microw. Opt. Technol. Lett. 53(10), 2238–2242 (2011). [CrossRef]
  16. S. Malaguti, G. Bellanca, A. de Rossi, S. Combrié, S. Trillo, “Self-pulsing driven by two-photon absorption in semiconductor nanocavities,” Phys. Rev. A 83(5), 051802 (2011). [CrossRef]
  17. M. Tabor, Chaos and integrability in nonlinear dynamics: an introduction (Wiley, New York, 1989).
  18. P. Chamorro-Posada, P. Martin-Ramos, J. Sánchez-Curto, J. C. García-Escartín, J. A. Calzada, C. Palencia, A. Durán, “Nonlinear Bloch modes, optical switching and Bragg solitons in tightly coupled micro-ring resonator chains,” J. Opt. 14(1), 015205 (2012). [CrossRef]
  19. R. Dekker, N. Usechak, M. Först, A. Driessen, “Ultrafast nonlinear all-optical processes in silicon-on-insulator waveguides,” J. Phys. D Appl. Phys. 40(14), R249–R271 (2007). [CrossRef]
  20. J. Leuthold, C. Koos, W. Freude, “Nonlinear silicon photonics,” Nat. Photonics 4(8), 535–544 (2010). [CrossRef]
  21. H. A. Haus, M. A. Popovic, M. R. Watts, C. Manolatou, B. E. Little, and S. T. Chu, “Optical resonators and filters,” in Optical Microcavities, Kerry Vahala, ed. (World Scientific, Singapore, 2004).
  22. A. D. Rossi, M. Lauritano, S. Combrié, Q. V. Tran, C. Husko, “Interplay of plasma-induced and fast thermal nonlinearities in a GaAs-based photonic crystal nanocavity,” Phys. Rev. A 79(4), 043818 (2009). [CrossRef]
  23. V. Van, T. A. Ibrahim, P. P. Absil, F. G. Johnson, R. Grover, P. T. Ho, “Optical signal processing using nonlinear semiconductor microring resonators,” IEEE J. Sel. Top. Quantum Electron. 8(3), 705–713 (2002). [CrossRef]
  24. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15(6), 998–1005 (1997). [CrossRef]
  25. R. A. Soref, B. R. Bennett, “Electrooptical effects in silicon,” IEEE J. Quantum Electron. 23(1), 123–129 (1987). [CrossRef]
  26. P. Rabier and W. H. Steier, “Polymer microring resonators,” in Optical Microcavities, Kerry Vahala, ed. (World Scientific, Singapore, 2004).
  27. Q. Lin, O. J. Painter, G. P. Agrawal, “Nonlinear optical phenomena in silicon waveguides: Modeling and applications,” Opt. Express 15(25), 16604–16644 (2007). [CrossRef] [PubMed]
  28. H. K. Tsang, Y. Liu, “Nonlinear optical properties of silicon waveguides,” Semicond. Sci. Technol. 23(6), 064007 (2008). [CrossRef]
  29. A. C. Turner-Foster, M. A. Foster, J. S. Levy, C. B. Poitras, R. Salem, A. L. Gaeta, M. Lipson, “Ultrashort free-carrier lifetime in low-loss silicon nanowaveguides,” Opt. Express 18(4), 3582–3591 (2010). [CrossRef] [PubMed]
  30. M. Först, J. Niehusmann, T. Plötzing, J. Bolten, T. Wahlbrink, C. Moormann, H. Kurz, “High-speed all-optical switching in ion-implanted silicon-on-insulator microring resonators,” Opt. Lett. 32(14), 2046–2048 (2007). [CrossRef] [PubMed]
  31. M. Waldow, T. Plötzing, M. Gottheil, M. Först, J. Bolten, T. Wahlbrink, H. Kurz, “25ps all-optical switching in oxygen implanted silicon-on-insulator microring resonator,” Opt. Express 16(11), 7693–7702 (2008). [CrossRef] [PubMed]
  32. B. Jalali, V. Raghunathan, R. Shori, S. Fathpour, D. Dimitropoulos, O. Stafsudd, “Prospects for silicon mid-IR raman lasers,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1618–1627 (2006). [CrossRef]

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