Abstract

The influence of three-photon absorption (3PA) on cross-phase modulation (XPM) effect in the mid-infrared (IR) region is theoretically investigated in silicon-on-sapphire (SOS) waveguides. It is found that the 3PA-induced nonlinear losses in the SOS waveguide will be considerable for the pulse propagation in the wavelength region of 2300 nm-3300 nm when the pump peak intensity is high enough. For the XPM process, the 3PA and 3PA-induced free-carrier effects can affect the spectrum and temporal profiles of the pump and signal pulses for sufficiently high pump peak intensities. Moreover, the XPM-induced frequency shift of signal spectrum is also discussed with different pump peak intensities, and the XPM-induced blue and red shifts are reduced due to 3PA.

© 2013 OSA

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2012 (6)

2011 (8)

F. Li, S. D. Jackson, C. Grillet, E. Magi, D. Hudson, S. J. Madden, Y. Moghe, C. O’Brien, A. Read, S. G. Duvall, P. Atanackovic, B. J. Eggleton, and D. J. Moss, “Low propagation loss silicon-on-sapphire waveguides for the mid-infrared,” Opt. Express 19(16), 15212–15220 (2011).
[Crossref] [PubMed]

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[Crossref]

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[Crossref]

Z. Wang, H. Liu, N. Huang, Q. Sun, and J. Wen, “Influence of spectral broadening on femtosecond wavelength conversion based on four-wave mixing in silicon waveguides,” Appl. Opt. 50(28), 5430–5436 (2011).
[Crossref] [PubMed]

Z. Wang, H. Liu, N. Huang, Q. Sun, and J. Wen, “Impact of dispersion profiles of silicon waveguides on optical parametric amplification in the femtosecond regime,” Opt. Express 19(24), 24730–24737 (2011).
[Crossref] [PubMed]

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[Crossref] [PubMed]

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[Crossref] [PubMed]

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[Crossref] [PubMed]

2010 (10)

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

X. Liu, R. M. Osgood, Y. A. Vlasov, and W. M. J. Green, “Mid-infrared optical parametric amplifier using silicon nanophotonic waveguides,” Nat. Photonics 4(8), 557–560 (2010).
[Crossref]

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

J. Leuthold, C. Koos, and W. Freude, “Nonlinear silicon photonics,” Nat. Photonics 4(8), 535–544 (2010).
[Crossref]

R. Soref, “Mid-infrared photonics in silicon and germanium,” Nat. Photonics 4(8), 495–497 (2010).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

T. Baehr-Jones, A. Spott, R. Ilic, A. Spott, B. Penkov, W. Asher, and M. Hochberg, “Silicon-on-sapphire integrated waveguides for the mid-infrared,” Opt. Express 18(12), 12127–12135 (2010).
[Crossref] [PubMed]

J. Y. Lee, L. Yin, G. P. Agrawal, and P. M. Fauchet, “Ultrafast optical switching based on nonlinear polarization rotation in silicon waveguides,” Opt. Express 18(11), 11514–11523 (2010).
[Crossref] [PubMed]

H.-S. Hsieh, K.-M. Feng, and M.-C. M. Lee, “Study of cross-phase modulation and free-carrier dispersion in silicon photonic wires for Mamyshev signal regenerators,” Opt. Express 18(9), 9613–9621 (2010).
[Crossref] [PubMed]

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]

2009 (2)

2008 (3)

2007 (5)

2006 (5)

2005 (3)

Adas, E.

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

Agrawal, G. P.

Alic, N.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Asher, W.

Assefa, S.

Astar, W.

Atanackovic, P.

Baehr-Jones, T.

Baets, R.

Boggio, J. M. C.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Boyraz, O.

O. Boyraz, Y. Huang, and X. Sang, “Silicon on sapphire and SOI photonic devices for mid-infrared and near-IR wavelengths,” Proc. SPIE 8431, 843104, 843104-12 (2012).
[Crossref]

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Bristow, A. D.

A. D. Bristow, N. Rotenberg, and H. M. van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm,” Appl. Phys. Lett. 90(19), 191104 (2007).
[Crossref]

Buchwald, W. R.

R. A. Soref, S. J. Emelett, and W. R. Buchwald, “Silicon waveguided components for the long-wave infrared region,” J. Opt. A, Pure Appl. Opt. 8(10), 840–848 (2006).
[Crossref]

Carter, G. M.

Chen, X.

Chen, Y. M.

Z. Cheng, X. Chen, C. Y. Wong, K. Xu, C. K. Y. Fung, Y. M. Chen, and H. K. Tsang, “Mid-Infrared Grating Couplers for Silicon-on-Sapphire Waveguides,” IEEE Photon. J. 4, 104–113 (2012).

Cheng, Z.

Z. Cheng, X. Chen, C. Y. Wong, K. Xu, C. K. Y. Fung, Y. M. Chen, and H. K. Tsang, “Mid-Infrared Grating Couplers for Silicon-on-Sapphire Waveguides,” IEEE Photon. J. 4, 104–113 (2012).

Claps, R.

Cohen, O.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Colman, P.

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

Combrie, S.

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

Dadap, J. I.

Davoyan, A. R.

Dekker, R.

Dimitropoulos, D.

Divliansky, I. B.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Driel, H. M.

S. Pearl, N. Rotenberg, and H. M. Driel, “Three photon absorption in silicon for 2300-3300 nm,” Appl. Phys. Lett. 93(13), 131102 (2008).
[Crossref]

Driessen, A.

Driscoll, J. B.

Dumon, P.

Duvall, S. G.

Eggleton, B. J.

Emelett, S. J.

R. A. Soref, S. J. Emelett, and W. R. Buchwald, “Silicon waveguided components for the long-wave infrared region,” J. Opt. A, Pure Appl. Opt. 8(10), 840–848 (2006).
[Crossref]

Fang, A.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Fauchet, P. M.

Feng, K.-M.

Forst, M.

Foster, M. A.

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Tailored anomalous group-velocity dispersion in silicon channel waveguides,” Opt. Express 14(10), 4357–4362 (2006).
[Crossref] [PubMed]

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441(7096), 960–963 (2006).
[Crossref] [PubMed]

Freude, W.

J. Leuthold, C. Koos, and W. Freude, “Nonlinear silicon photonics,” Nat. Photonics 4(8), 535–544 (2010).
[Crossref]

Fung, C. K. Y.

Z. Cheng, X. Chen, C. Y. Wong, K. Xu, C. K. Y. Fung, Y. M. Chen, and H. K. Tsang, “Mid-Infrared Grating Couplers for Silicon-on-Sapphire Waveguides,” IEEE Photon. J. 4, 104–113 (2012).

Gaeta, A. L.

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Tailored anomalous group-velocity dispersion in silicon channel waveguides,” Opt. Express 14(10), 4357–4362 (2006).
[Crossref] [PubMed]

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441(7096), 960–963 (2006).
[Crossref] [PubMed]

Gao, S.

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Green, W. M.

Green, W. M. J.

X. Liu, R. M. Osgood, Y. A. Vlasov, and W. M. J. Green, “Mid-infrared optical parametric amplifier using silicon nanophotonic waveguides,” Nat. Photonics 4(8), 557–560 (2010).
[Crossref]

W. Astar, J. B. Driscoll, X. Liu, J. I. Dadap, W. M. J. Green, Y. A. Vlasov, G. M. Carter, and R. M. Osgood, “Conversion of 10 Gb/s NRZ-OOK to RZ-OOK utilizing XPM in a Si nanowire,” Opt. Express 17(15), 12987–12999 (2009).
[Crossref] [PubMed]

Grillet, C.

Hak, D.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Hasama, T.

Hochberg, M.

Hsieh, H.-S.

Hsieh, I.-W.

Huang, N.

Huang, Y.

O. Boyraz, Y. Huang, and X. Sang, “Silicon on sapphire and SOI photonic devices for mid-infrared and near-IR wavelengths,” Proc. SPIE 8431, 843104, 843104-12 (2012).
[Crossref]

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Hudson, D.

Husko, C.

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

Ilic, R.

Ishikawa, H.

Jackson, S. D.

Jalali, B.

Johnson, T. J.

Jones, R.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Kalyoncu, S. K.

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Kamei, T.

Kawanishi, T.

Kawashima, H.

Kintaka, K.

Kivshar, Y. S.

Koos, C.

J. Leuthold, C. Koos, and W. Freude, “Nonlinear silicon photonics,” Nat. Photonics 4(8), 535–544 (2010).
[Crossref]

Kuyken, B.

Lee, J. Y.

Lee, M.-C. M.

Leuthold, J.

J. Leuthold, C. Koos, and W. Freude, “Nonlinear silicon photonics,” Nat. Photonics 4(8), 535–544 (2010).
[Crossref]

Li, F.

Li, X.

Liang, T. K.

Lin, Q.

Lipson, M.

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Tailored anomalous group-velocity dispersion in silicon channel waveguides,” Opt. Express 14(10), 4357–4362 (2006).
[Crossref] [PubMed]

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441(7096), 960–963 (2006).
[Crossref] [PubMed]

Liu, A.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Liu, H.

Liu, X.

Madden, S. J.

Magi, E.

Manolatou, C.

McNab, S. J.

Michael, C. P.

Moghe, Y.

Mookherjea, S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Moormann, C.

Mori, M.

Moro, S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Moss, D. J.

Niehusmann, J.

Nunes, L.

O’Brien, C.

Ogasawara, T.

Okano, M.

Osgood, R. M.

X. Liu, J. B. Driscoll, J. I. Dadap, R. M. Osgood, S. Assefa, Y. A. Vlasov, and W. M. Green, “Self-phase modulation and nonlinear loss in silicon nanophotonic wires near the mid-infrared two-photon absorption edge,” Opt. Express 19(8), 7778–7789 (2011).
[Crossref] [PubMed]

B. Kuyken, X. Liu, R. M. Osgood, R. Baets, G. Roelkens, and W. M. Green, “Mid-infrared to telecom-band supercontinuum generation in highly nonlinear silicon-on-insulator wire waveguides,” Opt. Express 19(21), 20172–20181 (2011).
[Crossref] [PubMed]

X. Liu, R. M. Osgood, Y. A. Vlasov, and W. M. J. Green, “Mid-infrared optical parametric amplifier using silicon nanophotonic waveguides,” Nat. Photonics 4(8), 557–560 (2010).
[Crossref]

W. Astar, J. B. Driscoll, X. Liu, J. I. Dadap, W. M. J. Green, Y. A. Vlasov, G. M. Carter, and R. M. Osgood, “Conversion of 10 Gb/s NRZ-OOK to RZ-OOK utilizing XPM in a Si nanowire,” Opt. Express 17(15), 12987–12999 (2009).
[Crossref] [PubMed]

I.-W. Hsieh, X. Chen, J. I. Dadap, N. C. Panoiu, R. M. Osgood, S. J. McNab, and Y. A. Vlasov, “Cross-phase modulation-induced spectral and temporal effects on co-propagating femtosecond pulses in silicon photonic wires,” Opt. Express 15(3), 1135–1146 (2007).
[Crossref] [PubMed]

I.-W. Hsieh, X. Chen, J. I. Dadap, N. C. Panoiu, R. M. Osgood, S. J. McNab, and Y. A. Vlasov, “Ultrafast-pulse self-phase modulation and third-order dispersion in Si photonic wire-waveguides,” Opt. Express 14(25), 12380–12387 (2006).
[Crossref] [PubMed]

Painter, O. J.

Paniccia, M.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Panoiu, N. C.

Park, J. S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Peacock, A. C.

Pearl, S.

S. Pearl, N. Rotenberg, and H. M. Driel, “Three photon absorption in silicon for 2300-3300 nm,” Appl. Phys. Lett. 93(13), 131102 (2008).
[Crossref]

Penkov, B.

Perahia, R.

Priem, G.

Qian, F.

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Radic, S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Raghunathan, V.

Read, A.

Roelkens, G.

Rong, H.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Rossi, A. D.

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

Rotenberg, N.

S. Pearl, N. Rotenberg, and H. M. Driel, “Three photon absorption in silicon for 2300-3300 nm,” Appl. Phys. Lett. 93(13), 131102 (2008).
[Crossref]

A. D. Bristow, N. Rotenberg, and H. M. van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm,” Appl. Phys. Lett. 90(19), 191104 (2007).
[Crossref]

Sagnes, I.

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

Sakakibara, Y.

Sakamoto, T.

Sang, X.

O. Boyraz, Y. Huang, and X. Sang, “Silicon on sapphire and SOI photonic devices for mid-infrared and near-IR wavelengths,” Proc. SPIE 8431, 843104, 843104-12 (2012).
[Crossref]

Sasagawa, K.

Schmidt, B. S.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441(7096), 960–963 (2006).
[Crossref] [PubMed]

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Tailored anomalous group-velocity dispersion in silicon channel waveguides,” Opt. Express 14(10), 4357–4362 (2006).
[Crossref] [PubMed]

Shadrivov, I. V.

Sharping, J. E.

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Tailored anomalous group-velocity dispersion in silicon channel waveguides,” Opt. Express 14(10), 4357–4362 (2006).
[Crossref] [PubMed]

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441(7096), 960–963 (2006).
[Crossref] [PubMed]

Shoji, Y.

Song, Q.

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Soref, R.

R. Soref, “Mid-infrared photonics in silicon and germanium,” Nat. Photonics 4(8), 495–497 (2010).
[Crossref]

Soref, R. A.

R. A. Soref, S. J. Emelett, and W. R. Buchwald, “Silicon waveguided components for the long-wave infrared region,” J. Opt. A, Pure Appl. Opt. 8(10), 840–848 (2006).
[Crossref]

Spott, A.

Suda, S.

Sun, Q.

Tien, E. K.

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Tsang, H.

Tsang, H. K.

Z. Cheng, X. Chen, C. Y. Wong, K. Xu, C. K. Y. Fung, Y. M. Chen, and H. K. Tsang, “Mid-Infrared Grating Couplers for Silicon-on-Sapphire Waveguides,” IEEE Photon. J. 4, 104–113 (2012).

Tsuchiya, M.

Turner, A. C.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441(7096), 960–963 (2006).
[Crossref] [PubMed]

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Tailored anomalous group-velocity dispersion in silicon channel waveguides,” Opt. Express 14(10), 4357–4362 (2006).
[Crossref] [PubMed]

van Driel, H. M.

A. D. Bristow, N. Rotenberg, and H. M. van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm,” Appl. Phys. Lett. 90(19), 191104 (2007).
[Crossref]

Van Thourhout, D.

Vlasov, Y. A.

Wahlbrink, T.

Wang, Z.

Wen, J.

Wong, C. W.

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

Wong, C. Y.

Z. Cheng, X. Chen, C. Y. Wong, K. Xu, C. K. Y. Fung, Y. M. Chen, and H. K. Tsang, “Mid-Infrared Grating Couplers for Silicon-on-Sapphire Waveguides,” IEEE Photon. J. 4, 104–113 (2012).

Xu, K.

Z. Cheng, X. Chen, C. Y. Wong, K. Xu, C. K. Y. Fung, Y. M. Chen, and H. K. Tsang, “Mid-Infrared Grating Couplers for Silicon-on-Sapphire Waveguides,” IEEE Photon. J. 4, 104–113 (2012).

Yildirim, D.

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

Yin, L.

Zhang, J.

Zhao, W.

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Widely tunable femtosecond optical parametric oscillator based on silicon-on-insulator waveguide,” Opt. Express 20, 3490–3498 (2012).

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104(4), 867–871 (2011).
[Crossref]

Zhu, M.

Zlatanovic, S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

Appl. Opt. (1)

Appl. Phys. B (1)

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104(4), 867–871 (2011).
[Crossref]

Appl. Phys. Lett. (3)

S. Pearl, N. Rotenberg, and H. M. Driel, “Three photon absorption in silicon for 2300-3300 nm,” Appl. Phys. Lett. 93(13), 131102 (2008).
[Crossref]

Y. Huang, E. K. Tien, S. Gao, S. K. Kalyoncu, Q. Song, F. Qian, E. Adas, D. Yildirim, and O. Boyraz, “Electrical signal-to-noise ratio improvement in indirect detection of mid-IR signals by wavelength conversion in silicon-on-sapphire waveguides,” Appl. Phys. Lett. 99(18), 181122 (2011).
[Crossref]

A. D. Bristow, N. Rotenberg, and H. M. van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm,” Appl. Phys. Lett. 90(19), 191104 (2007).
[Crossref]

IEEE Photon. J. (1)

Z. Cheng, X. Chen, C. Y. Wong, K. Xu, C. K. Y. Fung, Y. M. Chen, and H. K. Tsang, “Mid-Infrared Grating Couplers for Silicon-on-Sapphire Waveguides,” IEEE Photon. J. 4, 104–113 (2012).

J. Lightwave Technol. (1)

J. Opt. A, Pure Appl. Opt. (1)

R. A. Soref, S. J. Emelett, and W. R. Buchwald, “Silicon waveguided components for the long-wave infrared region,” J. Opt. A, Pure Appl. Opt. 8(10), 840–848 (2006).
[Crossref]

Nat. Photonics (5)

J. Leuthold, C. Koos, and W. Freude, “Nonlinear silicon photonics,” Nat. Photonics 4(8), 535–544 (2010).
[Crossref]

R. Soref, “Mid-infrared photonics in silicon and germanium,” Nat. Photonics 4(8), 495–497 (2010).
[Crossref]

X. Liu, R. M. Osgood, Y. A. Vlasov, and W. M. J. Green, “Mid-infrared optical parametric amplifier using silicon nanophotonic waveguides,” Nat. Photonics 4(8), 557–560 (2010).
[Crossref]

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics 4(8), 561–564 (2010).
[Crossref]

P. Colman, C. Husko, S. Combrie, I. Sagnes, C. W. Wong, and A. D. Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4(12), 862–868 (2010).
[Crossref]

Nature (2)

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441(7096), 960–963 (2006).
[Crossref] [PubMed]

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave Raman silicon laser,” Nature 433(7027), 725–728 (2005).
[Crossref] [PubMed]

Opt. Express (22)

E. K. Tien, Y. Huang, S. Gao, Q. Song, F. Qian, S. K. Kalyoncu, and O. Boyraz, “Discrete parametric band conversion in silicon for mid-infrared applications,” Opt. Express 18(21), 21981–21989 (2010).
[Crossref] [PubMed]

Z. Wang, H. Liu, N. Huang, Q. Sun, and J. Wen, “Efficient terahertz-wave generation via four-wave mixing in silicon membrane waveguides,” Opt. Express 20(8), 8920–8928 (2012).
[Crossref] [PubMed]

T. K. Liang, L. Nunes, T. Sakamoto, K. Sasagawa, T. Kawanishi, M. Tsuchiya, G. Priem, D. Van Thourhout, P. Dumon, R. Baets, and H. Tsang, “Ultrafast all-optical switching by cross-absorption modulation in silicon wire waveguides,” Opt. Express 13(19), 7298–7303 (2005).
[Crossref] [PubMed]

I.-W. Hsieh, X. Chen, J. I. Dadap, N. C. Panoiu, R. M. Osgood, S. J. McNab, and Y. A. Vlasov, “Ultrafast-pulse self-phase modulation and third-order dispersion in Si photonic wire-waveguides,” Opt. Express 14(25), 12380–12387 (2006).
[Crossref] [PubMed]

X. Liu, J. B. Driscoll, J. I. Dadap, R. M. Osgood, S. Assefa, Y. A. Vlasov, and W. M. Green, “Self-phase modulation and nonlinear loss in silicon nanophotonic wires near the mid-infrared two-photon absorption edge,” Opt. Express 19(8), 7778–7789 (2011).
[Crossref] [PubMed]

B. Kuyken, X. Liu, R. M. Osgood, R. Baets, G. Roelkens, and W. M. Green, “Mid-infrared to telecom-band supercontinuum generation in highly nonlinear silicon-on-insulator wire waveguides,” Opt. Express 19(21), 20172–20181 (2011).
[Crossref] [PubMed]

Z. Wang, H. Liu, N. Huang, Q. Sun, and J. Wen, “Impact of dispersion profiles of silicon waveguides on optical parametric amplification in the femtosecond regime,” Opt. Express 19(24), 24730–24737 (2011).
[Crossref] [PubMed]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Widely tunable femtosecond optical parametric oscillator based on silicon-on-insulator waveguide,” Opt. Express 20, 3490–3498 (2012).

M. Zhu, H. Liu, X. Li, N. Huang, Q. Sun, J. Wen, and Z. Wang, “Ultrabroadband flat dispersion tailoring of dual-slot silicon waveguides,” Opt. Express 20(14), 15899–15907 (2012).
[Crossref] [PubMed]

F. Li, S. D. Jackson, C. Grillet, E. Magi, D. Hudson, S. J. Madden, Y. Moghe, C. O’Brien, A. Read, S. G. Duvall, P. Atanackovic, B. J. Eggleton, and D. J. Moss, “Low propagation loss silicon-on-sapphire waveguides for the mid-infrared,” Opt. Express 19(16), 15212–15220 (2011).
[Crossref] [PubMed]

T. Baehr-Jones, A. Spott, R. Ilic, A. Spott, B. Penkov, W. Asher, and M. Hochberg, “Silicon-on-sapphire integrated waveguides for the mid-infrared,” Opt. Express 18(12), 12127–12135 (2010).
[Crossref] [PubMed]

J. Y. Lee, L. Yin, G. P. Agrawal, and P. M. Fauchet, “Ultrafast optical switching based on nonlinear polarization rotation in silicon waveguides,” Opt. Express 18(11), 11514–11523 (2010).
[Crossref] [PubMed]

R. Dekker, A. Driessen, T. Wahlbrink, C. Moormann, J. Niehusmann, and M. Forst, “Ultrafast Kerr-induced all-optical wavelength conversion in silicon waveguides using 1.55 μm,” Opt. Express 14(18), 8336–8346 (2006).
[Crossref]

I.-W. Hsieh, X. Chen, J. I. Dadap, N. C. Panoiu, R. M. Osgood, S. J. McNab, and Y. A. Vlasov, “Cross-phase modulation-induced spectral and temporal effects on co-propagating femtosecond pulses in silicon photonic wires,” Opt. Express 15(3), 1135–1146 (2007).
[Crossref] [PubMed]

W. Astar, J. B. Driscoll, X. Liu, J. I. Dadap, W. M. J. Green, Y. A. Vlasov, G. M. Carter, and R. M. Osgood, “Conversion of 10 Gb/s NRZ-OOK to RZ-OOK utilizing XPM in a Si nanowire,” Opt. Express 17(15), 12987–12999 (2009).
[Crossref] [PubMed]

H.-S. Hsieh, K.-M. Feng, and M.-C. M. Lee, “Study of cross-phase modulation and free-carrier dispersion in silicon photonic wires for Mamyshev signal regenerators,” Opt. Express 18(9), 9613–9621 (2010).
[Crossref] [PubMed]

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]

A. R. Davoyan, I. V. Shadrivov, and Y. S. Kivshar, “Nonlinear plasmonic slot waveguides,” Opt. Express 16(26), 21209–21214 (2008).
[Crossref] [PubMed]

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Tailored anomalous group-velocity dispersion in silicon channel waveguides,” Opt. Express 14(10), 4357–4362 (2006).
[Crossref] [PubMed]

Q. Lin, T. J. Johnson, R. Perahia, C. P. Michael, and O. J. Painter, “A proposal for highly tunable optical parametric oscillation in silicon micro-resonators,” Opt. Express 16(14), 10596–10610 (2008).
[Crossref] [PubMed]

F. Li, S. D. Jackson, C. Grillet, E. Magi, D. Hudson, S. J. Madden, Y. Moghe, C. O’Brien, A. Read, S. G. Duvall, P. Atanackovic, B. J. Eggleton, and D. J. Moss, “Low propagation loss silicon-on-sapphire waveguides for the mid-infrared,” Opt. Express 19(16), 15212–15220 (2011).
[Crossref] [PubMed]

Q. Lin, O. J. Painter, and G. P. Agrawal, “Nonlinear optical phenomena in silicon waveguides: Modeling and applications,” Opt. Express 15(25), 16604–16644 (2007).
[Crossref] [PubMed]

Opt. Lett. (4)

Proc. SPIE (1)

O. Boyraz, Y. Huang, and X. Sang, “Silicon on sapphire and SOI photonic devices for mid-infrared and near-IR wavelengths,” Proc. SPIE 8431, 843104, 843104-12 (2012).
[Crossref]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 2007).

T. E. Murphy, software available at http://www.photonics.umd.edu .

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Figures (8)

Fig. 1
Fig. 1

Left: SOS rib waveguide structure; Right: Ey and Ex electric field components of the SOS waveguide at the wavelength of 2300 nm.

Fig. 2
Fig. 2

(a) Effective and group indices and (b) second and third-order dispersion of the SOS waveguide as a function of wavelength.

Fig. 3
Fig. 3

The XPM-induced frequency chirp for a signal pulse with τd = 0 and τd = δ, respectively. The input center wavelength of the signal pulse is 2400 nm, and signal pulse shape is shown by a dashed line.

Fig. 4
Fig. 4

Output pump peak intensity versus input pump peak intensity.

Fig. 5
Fig. 5

Output spectra of the pump pulse with corresponding temporal profiles for different pump peak intensities under different conditions: 3PA = 0, 3PA only, 3PA + FCA, and full (3PA + FCA + FCD).

Fig. 6
Fig. 6

Output spectra and temporal profiles of the signal pulse under different conditions for τd = 0 and τd = δ, respectively.

Fig. 7
Fig. 7

Output spectra with different pump peak intensities for τd = 0 and τd = δ, respectively.

Fig. 8
Fig. 8

Output spectra with different input signal center wavelengths when the pump peak intensity is 6.67 GW/cm2.

Equations (6)

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A p z + i β 2p 2 2 A p T 2 β 3p 6 3 A p T 3 =i γ p ( | A p | 2 +2 | A s | 2 ) A p β 3PA 2 A eff 2 | A p | 4 A p 1 2 ( α l + α fcp ) A p +i 2π λ p Δ n fcp A p ,
A s z +d A s T + i β 2s 2 2 A s T 2 β 3s 6 3 A s T 3 =i γ s ( | A s | 2 +2 | A p | 2 ) A s β 3PA 2 A eff 2 | A s | 4 A s 1 2 ( α l + α fcs ) A s +i 2π λ s Δ n fcs A s ,
N c t = β 3PA 3h υ p | A p | 6 A eff 3 N c τ c ,
A p ( 0,T )= P p exp[ ( T T d ) 2 2 T 0 2 ], A s ( 0,T )= P s exp[ T 2 2 T 0 2 ],
ϕ s ( L,τ )= γ s P p L π δ [ erf( τ τ d +δ )erf( τ τ d ) ],
δ υ s (L,τ)= 1 2π ϕ s T = γ s P p L π T 0 δ { exp[ ( τ τ d +δ ) 2 ]exp[ ( τ τ d ) 2 ] }.

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