Temperature effects on silicon-on-insulator (SOI) racetrack resonators: A coupled analytic and 2-D finite difference approach

Journal of Lightwave Technology

Volumn 28, Issue 9, 2010, Pages 1380-1391

  Rouger, Nicolas ^a   Chrostowski, Lukas ^b   Vafaei, Raha ^b  

^a UNIV GRENOBLE ALPES   (France)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Conformal transform; Coupled waveguides; Finite difference method; Nanophotonics; Optical functions on SOI; Racetrack resonators; Temperature effects; Thermo optic tuning

Indexed keywords

CONFORMAL TRANSFORM; COUPLED WAVEGUIDES; OPTICAL FUNCTION; RACETRACK RESONATORS; TEMPERATURE EFFECTS; THERMOOPTIC TUNING;

ELECTRIC COILS; FINITE DIFFERENCE METHOD; LIGHT MODULATORS; NANOPHOTONICS; RESONATORS; TEMPERATURE; TUNING; TWO DIMENSIONAL; WAVEGUIDES;

PHOTONICS;

EID: 77951744938     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2010.2041528     Document Type: Article

References (29)

1. L. Pavesi and G. Guillot, Optical Interconnects: The Silicon Approach. Berlin, Germany: Springer, 2006.
2. M. L. Calvo and V. Lakshminarayanan, Optical Waveguides-From Theory to Applied Technologies. Boca Raton, FL: CRC Press, 2007.
3. W. Bogaerts et al., "Compact wavelength-selective functions in silicon-on-insulator photonic wires", IEEE J. Sel. Topics Quantum Electron., vol. 12, no. 6, 2006. (Pubitemid 44956108)
4. W. Bogaerts, R. Baets, P. Dumon, V. Wiaux, S. Beckx, D. Taillaert, B. Luyssaert, J. V. Campenhout, P. Bienstman, and D. V. Thourhout, "Nanophotonic waveguides in silicon-on-insulator fabricated with CMOS technology", J. Lightw. Technol., vol. 23, no. 1, pp. 401-412, Jan. 2005. (Pubitemid 40181733)
5. F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, "Coupled resonator optical waveguides based on silicon-on-insulator photonic wires", Appl. Phys. Lett., vol. 89, no. 4, pp. 041122-, 2006. (Pubitemid 44147527)
6. J. Niehusmann, A. Vörckel, P. H. Bolivar, T. Wahlbrink, W. Henschel, and H. Kurz, "Ultrahigh-quality-factor silicon-on-insulator microringresonator", Opt. Lett., vol. 29, no. 24, pp. 2861-2863, 2004.
7. G. Roelkens, D. V. Thourhout, and R. Baets, "High efficiency grating coupler between silicon-on-insulator waveguides and perfectly vertical optical fibers", Opt. Lett., vol. 32, no. 11, pp. 1495-1497, 2007. (Pubitemid 351292777)
8. G. Rostami and A. Rostami, An Ultra High-Precision Temperature Sensor Design Based on Two-Port Ring Resonator, A. Serpenguzel, G. Badenes, and G. C. Righini, Eds. New York: SPIE, 2007, vol. 6593, 1.
9. M. Geis, S. Spector, R. Williamson, and T. Lyszczarz, "Submicrosecond submilliwatt silicon-on-insulator thermooptic switch", IEEE Photon. Technol. Lett., vol. 16, no. 11, pp. 2514-2516, Nov. 2004.
10. A. Vörckel, M. Mönster, W. Henschel, P. H. Bolivar, and H. Kurz, "Asymmetrically coupled silicon-on-insulator microring resonators for compact add-drop multiplexers", IEEE Photon. Technol. Lett., vol. 15, no. 7, pp. 921-923, 2003.
11. D. Rabus, Integrated Ring Resonators. New York: Springer, 2007.
12. M. W. Pruessner, T. H. Stievater, M. S. Ferraro, and W. S. Rabinovich, "Thermo-optic tuning and switching in SOI waveguide Fabry-Perot microcavities", Opt. Exp., vol. 15, no. 12, pp. 7557-7563, 2007.
13. S. Mandal, S. K. Ghosh, and T. K. Basak, "Modeling and analysis of fiber optic ring resonator performance as temperature sensor", Sensors & Transducers J., vol. 82, no. 8, pp. 1431-1442, 2007.
14. A. Fallahkhair, K. Li, and T. Murphy, "Vector finite difference modesolver for anisotropic dielectric waveguides", J. Lightw. Technol., vol. 26, no. 11, pp. 1423-1431, Jun. 1, 2008.
15. M. Heiblum and J. Harris, "Analysis of curved optical waveguides by conformal transformation", IEEE J. Quantum Electron., vol. 11, no. 2, pp. 75-83, Feb. 1975.
16. C. Doerr and H. Kogelnik, "Dielectric waveguide theory", J. Lightw. Technol., vol. 26, no. 9, pp. 1176-1187, May 1, 2008.
17. N. Rouger and L. Chrostowski, "Simulation of coupling between parallel SOI nanowaveguides and its dependence on temperature", in Proc. IEEE/LEOS Int. Conf. Optical MEMs and Nanophoton., 2009, pp. 103-104.
18. H. H. Li, "Refractive index of silicon and germanium and its wavelength and temperature derivatives", J. Phys. Chem. Ref. Data, vol. 9, no. 3, pp. 561-658, 1980.
19. 2 in the infrared wavelength range", J. Phys. Chem. Solids, vol. 61, no. 8, pp. 1315-1320, 2000.
20. A. Yariv and P. Yeh, Optical Electronics in Modern Communications, 6th ed. Oxford, U. K.: Oxford Univ. Press, 2006.
21. Y. Sun, X. Jiang, Y. Hao, J. Yang, and M. Wang, "Calculation of the coupling coefficients for spatial waveguides using the field matching method", J. Optics A: Pure Appl. Opt., vol. 10, no. 9, pp. 095305-, 2008, (4pp).
22. A. Yariv, "Coupled-mode theory for guided-wave optics", IEEE J. Quantum Electron., vol. 9, no. 9, pp. 919-933, Sep. 1973.
23. Y. Okada and Y. Tokumaru, "Precise determination of lattice parameter and thermal expansion coefficient of silicon between 300 and 1500 k", J. Appl. Phys., vol. 56, no. 2, pp. 314-320, 1984. (Pubitemid 14626802)
24. S. Xiao, M. H. Khan, H. Shen, and M. Qi, "Modeling and measurement of losses in silicon-on-insulator resonators and bends", Opt. Exp., vol. 15, no. 17, pp. 10 553-10 561, 2007. (Pubitemid 47296110)
25. R. Soref and B. Bennett, "Electrooptical effects in silicon", IEEE J. Quantum Electron., vol. 23, no. 1, pp. 123-129, Jan. 1987.
26. Y. Vlasov and S. McNab, "Losses in single-mode silicon-on-insulator strip waveguides and bends", Opt. Exp., vol. 12, no. 8, pp. 1622-1631, 2004. (Pubitemid 40290633)
27. A. Delage, D.-X. Xu, R. W. Mckinnon, E. Post, P. Waldron, J. Lapointe, C. Storey, A. Densmore, S. Janz, B. Lamontagne, P. Cheben, and J. H. Schmid, "Wavelength-dependent model of a ring resonator sensor excited by a directional coupler", J. Lightw. Technol., vol. 27, no. 9, pp. 1172-1180, 2009.
28. F. Xia, L. Sekaric, and Y. A. Vlasov, "Mode conversion losses in silicon-on-insulator photonic wire based racetrack resonators", Opt. Exp., vol. 14, no. 9, pp. 3872-3886, 2006.
29. Y.-H. Kuo, Y.-A. Huang, and T.-L. Chen, "A vertical germanium thermooptic modulator for optical interconnects", IEEE Photon. Technol. Lett., vol. 21, no. 4, pp. 245-247, Feb. 15, 2009.