A theoretical model for an optical diode built with nonlinear silicon microrings

Journal of Lightwave Technology

Volumn 31, Issue 2, 2013, Pages 313-323

  Wang, Jian ^a   Fan, Li ^a   Varghese, Leo T ^a   Shen, Hao ^b   Xuan, Yi ^a   Niu, Ben ^a   Qi, Minghao ^a,c  

^a PURDUE UNIVERSITY   (United States)

^b Applied Micro Circuits   (United States)

^c SHANGHAI INSTITUTE OF MICROSYSTEM AND INFORMATION TECHNOLOGY   (China)

Author keywords

Coupled mode theory (CMT); Free carrier effect (FCE); Nonlinear optics; Optoelectronics; Perturbation theory; Silicon photonics; Thermo optic effect (TOE)

Indexed keywords

COUPLED-MODE THEORY; FREE-CARRIER EFFECTS; PERTURBATION THEORY; SILICON PHOTONICS; THERMOOPTIC EFFECTS;

COMPUTER SIMULATION; DIODES; OPTICAL DATA PROCESSING; OPTOELECTRONIC DEVICES; PHOTONICS; PHOTONS; RESONATORS; SILICON; TWO PHOTON PROCESSES;

NONLINEAR OPTICS;

EID: 84872026881     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2012.2229966     Document Type: Article

References (32)

1. Y. Shoji, T. Mizumoto, H. Yokoi, I. Hsieh, and R. M. Osgood, "Magneto-optical isolator with silicon waveguides fabricated by direct bonding," Appl. Phys. Lett., vol. 92, pp. 071117-1-071117-3, Feb. 2008.
2. M. C. Tien, T.Mizumoto, P. Pintus, H. Kromer, and J. E. Bowers, "Silicon ring isolators with bonded nonreciprocal magneto-optic garnets," Opt. Exp., vol. 19, no. 12, pp. 11740-11745, Jun. 2011.
3. L. Bi, J. Hu, P. Jiang, D. H. Kim, G. F. Dionne, L. C. Kimerling, and C. A. Ross, "On-chip optical isolation in monolithically integrated nonreciprocal optical resonators," Nature Photon., vol. 5, no. 12, pp. 758-762, Nov. 2011.
4. S. K. Ibrahim, S. Bhandare, D. Sandel, H. Zhang, and R. Noe, "Nonmagnetic 30 dB integrated optical isolator in III/V material," Electron. Lett., vol. 40, no. 20, pp. 1293-1294, Sep. 2004.
5. Z. F. Yu and S. H. Fan, "Complete optical isolation created by indirect interband photonic transitions," Nature Photon., vol. 3, no. 2, pp. 91-94, Feb. 2009.
6. S.Manipatruni, J. T. Robinson, andM. Lipson, "Optical nonreciprocity in optomechanical structures," Phys. Rev. Lett., vol. 102, no. 21, pp. 213903-1-213903-4, May 2009.
7. L. Fan, J. Wang, L. T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, andM. Qi, "An all-silicon passive optical diode," Science, vol. 335, no. 6067, pp. 447-450, Jan. 2012.
8. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Norwood, MA: Artech House, 2005, pp. 743-846.
9. A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, "MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method," Comput. Phys. Commun., vol. 181, no. 3, pp. 687-702, Mar. 2010.
10. N. Suzuki, "FDTD analysis of two-photon absorption and free-carrier absorption in Si high-index-contrast waveguides," J. Lightw. Technol., vol. 25, no. 9, pp. 2495-2501, Sep. 2007. (Pubitemid 47407520)
11. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J. P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol., vol. 15, no. 6, pp. 998-1005, Jun. 1997. (Pubitemid 127601697)
12. M. Soljacic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E, vol. 66, no. 5, pp. 055601-1-055601-4, Nov. 2002.
13. T. Uesugi, B. S. Song, T. Asano, and S. Noda, "Investigation of optical nonlinearities in an ultra-high-Q Si nanocavity in a two-dimensional photonic crystal slab," Opt. Exp., vol. 14, no. 1, pp. 377-386, Jan. 2006. (Pubitemid 43064066)
14. P. E. Barclay, K. Srinivasan, and O. Painter, "Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper," Opt. Exp., vol. 13, no. 3, pp. 801-820, Feb. 2005. (Pubitemid 40345233)
15. X. Yang and C. W. Wong, "Coupled-mode theory for stimulated Raman scattering in high-Q/Vm silicon photonic band gap defect cavity lasers," Opt. Exp., vol. 15, no. 8, pp. 4763-4780, Apr. 2007. (Pubitemid 46609021)
16. Q. Xu, S. Manipatruni, B. Schmidt, J. Shakya, and M. Lipson, "12.5 Gbit/s carrier-injection-based silicon microring silicon modulators," Opt. Exp., vol. 15, no. 2, pp. 430-436, Jan. 2007. (Pubitemid 46168487)
17. K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, "Ultralow-power all-optical RAM based on nanocavities," Nature Photon., vol. 6, no. 4, pp. 248-252, Apr. 2012.
18. J. Leuthold, C. Koos, and W. Freude, "Nonlinear silicon photonics," Nature Photon., vol. 4, no. 8, pp. 535-544, Aug. 2010.
19. R. M. Osgood, N. C. Panoiu, J. I. Dadap, X. Liu, X. Chen, I.-W. Hsieh, E. Dulkeith, W. M. Green, and Y. A. Vlasov, "Engineering nonlinearities in nanoscale optical systems: Physics and applications in dispersion- engineered silicon nanophotonic wires," Adv. Opt. Photon., vol. 1, no. 1, pp. 162-235, Jan. 2009.
20. J. B. Driscoll,W. Astar, X. Liu, J. I. Dadap,W. M. Green, Y. A. Vlasov, G. M. Carter, and R. M. Osgood, "All-optical wavelength conversion of 10 Gb/s RZ-OOK data in a silicon nanowire via cross-phase modulation: Experiment and theoretical investigation," IEEE J. Sel. Topics Quantum Electron., vol. 16, no. 5, pp. 1448-1459, Sep.-Oct. 2010.
21. Q. F. Xu and M. Lipson, "Carrier-induced optical bistability in silicon ring resonators," Opt. Lett., vol. 31, no. 3, pp. 341-343, Feb. 2006.
22. M. Khan, H. Shen, Y. Xuan, L. Zhao, S. Xiao, D. E. Leaird, A. M. Weiner, and M. Qi, "Ultrabroad-bandwidth arbitrary radiofrequency waveform generation with a silicon photonic chip-based spectral shaper," Nature Photon., vol. 4, no. 2, pp. 117-122, Feb. 2010.
23. Q. Lin, O. J. Painter, and G. P. Agrawal, "Nonlinear optical phenomena in silicon waveguides: Modeling and applications," Opt. Exp., vol. 15, no. 25, pp. 16604-16644, Dec. 2007. (Pubitemid 350262702)
24. R. Boyd, Nonlinear Optics. San Diego, CA: Academic, 2008, pp. 1-65.
25. M. Dinu, F. Quochi, and H. Garcia, "Third-order nonlinearities in silicon at telecom wavelengths," Appl. Phys. Lett., vol. 82, no. 18, pp. 2954-2956, May 2003.
26. J. D. Jackson, Classical Electrodynamics. Hoboken, NJ:Wiley, Aug. 1998, pp. 258-267.
27. B. Zeghbroeck, Principles of Semiconductor Devices and Heterojunctions. Englewood Cliffs, NJ: Prentice-Hall, Dec. 2009, ch. 2.6.
28. R. A. Soref and B. R. Bennett, "Electrooptic effects in silicon," IEEE J. Quantum Electron., vol. QE-23, no. 1, pp. 123-129, Jan. 1987.
29. I. D. Rukhlenko, M. Premaratne, and G. P. Agrawal, "Analytical study of optical bistability in silicon ring resonators," Opt. Lett., vol. 35, no. 1, pp. 55-57, Jan. 2010.
30. S. F. Mingaleev and Y. S. Kivshar, "Nonlinear transmission and light localization in photonic-crystal waveguides," J. Opt. Soc. Amer. B, vol. 19, no. 9, pp. 2241-2249, Jan. 2002.
31. X. Lin, J. Yan, L. Wu, and S. Lan, "High transmission contrast for single resonator based all-optical diodes with pump-assisting," Opt. Exp., vol. 16, no. 25, pp. 20949-20954, Dec. 2008.
32. W. H. P. Pernice, C. Schuck, M. Li, and H. X. Tang, "Carrier and thermal dynamics of silicon photonic resonators at cryogenic temperatures," Opt. Exp., vol. 19, no. 4, pp. 3290-3296, Feb. 2011.