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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 9 — Apr. 26, 2010
  • pp: 8998–9005

Optical nonlinearities in hydrogenated- amorphous silicon waveguides

Karthik Narayanan and Stefan F. Preble  »View Author Affiliations

Optics Express, Vol. 18, Issue 9, pp. 8998-9005 (2010)

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We experimentally measure the optical nonlinearities in hydrogenated-amorphous silicon (a-Si:H) waveguides through the transmission of ultra-short pulses. The measured two-photon absorption coefficient β is 4.1 cm/GW and we obtain a 3.5π nonlinear phase shift at 4.1 W coupled input power corresponding to a nonlinear refractive index n2 of 4.2∙10−13 cm2/W. The measured nonlinear coefficient γ = 2003 (W∙m)−1 is at least 5 times the value in crystalline silicon. The measured free carrier absorption coefficient σ = 1.9∙10−16 cm2 agrees with the values predicted from the Drude-Lorenz model. It is seen that a-Si:H exhibits enhanced nonlinear properties at 1550 nm and is a promising platform for nonlinear silicon photonics.

© 2010 OSA

OCIS Codes
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
(230.4320) Optical devices : Nonlinear optical devices

ToC Category:
Nonlinear Optics

Original Manuscript: March 8, 2010
Revised Manuscript: April 11, 2010
Manuscript Accepted: April 12, 2010
Published: April 14, 2010

Karthik Narayanan and Stefan F. Preble, "Optical nonlinearities in hydrogenated-amorphous silicon waveguides," Opt. Express 18, 8998-9005 (2010)

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  1. M. J. A. de Dood, A. Polman, T. Zijlstra, and E. W. J. M. van der Drift, “Amorphous silicon waveguides for microphotonics,” J. Appl. Phys. 92(2), 649–653 (2002). [CrossRef]
  2. A. Harke, M. Krause, and J. Mueller, “Low-loss singlemode amorphous silicon waveguides,” Electron. Lett. 41(25), 1377–1379 (2005). [CrossRef]
  3. D. K. Sparacin, R. Sun, A. M. Agarwal, M. A. Beals, J. Michel, L. C. Kimerling, T. J. Conway, A. T. Pomerene, D. N. Carothers, M. J. Grove, D. M. Gill, M. S. Rasras, S. S. Patel, and A. E. White, “Low Loss Amorphous Silicon Channel Waveguides for Integrated Photonics,” in Group IV Photonics, 2006. 3rd IEEE International Conference on, pp. 255–257 (2006)
  4. R. Sun, J. Cheng, J. Michel, and L. Kimerling, “Transparent amorphous silicon channel waveguides and high-Q resonators using a damascene process,” Opt. Lett. 34(15), 2378–2380 (2009). [CrossRef] [PubMed]
  5. R. Sun, P. Dong, N. N. Feng, C. Y. Hong, J. Michel, M. Lipson, and L. Kimerling, “Horizontal single and multiple slot waveguides: optical transmission at λ = 1550 nm,” Opt. Express 15(26), 17967–17972 (2007). [CrossRef] [PubMed]
  6. H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. W. Roberts, A. Harpin, J. Drake, and M. Asghari, “Optical dispersion, two-photon absorption and self-phase modulation in silicon waveguides at 1.5 um wavelength,” Appl. Phys. Lett. 80(3), 416–418 (2002). [CrossRef]
  7. M. Dinu, F. Quochi, and H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82(18), 2954–2956 (2003). [CrossRef]
  8. G. W. Rieger, K. S. Virk, and J. F. Young, “Nonlinear propagation of ultrafast 1.5um pulses in high-index-contrast silicon-on-insulator waveguides,” Appl. Phys. Lett. 84(6), 900–902 (2004). [CrossRef]
  9. O. Boyraz, T. Indukuri, and B. Jalali, “Self-phase-modulation induced spectral broadening in silicon waveguides,” Opt. Express 12(5), 829–834 (2004). [CrossRef] [PubMed]
  10. E. Dulkeith, Y. A. Vlasov, X. Chen, N. C. Panoiu, and R. M. Osgood., “Self-phase-modulation in submicron silicon-on-insulator photonic wires,” Opt. Express 14(12), 5524–5534 (2006). [CrossRef] [PubMed]
  11. H. Yamada, M. Shirane, T. Chu, H. Yokoyama, S. Ishida, and Y. Arakawa, “Nonlinear-Optic Silicon-Nanowire Waveguides,” Jpn. J. Appl. Phys. 44(No. 9A), 6541–6545 (2005). [CrossRef]
  12. H. Fukuda, K. Yamada, T. Shoji, M. Takahashi, T. Tsuchizawa, T. Watanabe, J. Takahashi, and S. Itabashi, “Four-wave mixing in silicon wire waveguides,” Opt. Express 13(12), 4629–4637 (2005). [CrossRef] [PubMed]
  13. K. Ikeda, Y. Shen, and Y. Fainman, “Enhanced optical nonlinearity in amorphous silicon and its application to waveguide devices,” Opt. Express 15(26), 17761–17771 (2007). [CrossRef] [PubMed]
  14. M. Zelikson, J. Salzman, K. Weiser, and J. Kanicki, “Enhanced electro-optic effect in amorphous hydrogenated silicon based waveguides,” Appl. Phys. Lett. 61(14), 1664–1666 (1992). [CrossRef]
  15. V. R. Almeida, R. R. Panepucci, and M. Lipson, “Nanotaper for compact mode conversion,” Opt. Lett. 28(15), 1302–1304 (2003). [CrossRef] [PubMed]
  16. L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett. 32(14), 2031–2033 (2007). [CrossRef] [PubMed]
  17. S. Roy, S. K. Bhadra, and G. P. Agrawal, “Femtosecond pulse propagation in silicon waveguides: Variational approach and its advantages,” Opt. Commun. 281(23), 5889–5893 (2008). [CrossRef]
  18. P. Apiratikul, A. M. Rossi, and T. E. Murphy, “Nonlinearities in porous silicon optical waveguides at 1550 nm,” Opt. Express 17(5), 3396–3406 (2009). [CrossRef] [PubMed]
  19. G. P. Agrawal, Nonlinear Fiber Optics, (Academic Press, New York, Third Edition 2001)
  20. V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, “All-optical control of light on a silicon chip,” Nature 431(7012), 1081–1084 (2004). [CrossRef] [PubMed]
  21. K. Narayanan, A. W. Elshaari, and S. F. Preble, “Broadband all-optical modulation in hydrogenated-amorphous silicon waveguides,” Submitted for publication.
  22. R. A. Street, Hydrogenated Amorphous Silicon, (Cambridge University Press, Cambridge NY 1991)
  23. R. Soref and B. Bennett, “Electrooptical effect in silicon,” IEEE J. Quantum Electron. 23(1), 123–129 (1987). [CrossRef]
  24. P. Fauchet, D. Hulin, R. Vanderhaghen, A. Mourchid, and W. Nighan., “The properties of free carriers in amorphous silicon,” J. Non-Cryst. Solids 141, 76–87 (1992). [CrossRef]
  25. G. I. Stegeman, “Material figures of merit and implications to all-optical waveguide switching,” Proc. SPIE 1852, 75 (1993). [CrossRef]
  26. Y. Shoji, T. Ogasawara, T. Kamei, Y. Sakakibara, S. Suda, K. Kintaka, H. Kawashima, M. Okano, T. Hasama, H. Ishikawa, and M. Mori, “Ultrafast nonlinear effects in hydrogenated amorphous silicon wire waveguide,” Opt. Express 18(6), 5668–5673 (2010). [CrossRef] [PubMed]

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