Abstract

By propagating femtosecond pulses inside submicron-cross-section Si photonic-wire waveguides with anomalous dispersion, we demonstrate that the pulse-propagation dynamics is strongly influenced by the combined action of optical nonlinearity and up to third-order dispersion with minimal carrier effects. Because of strong light confinement, a nonlinear phase shift of a few π due to self-phase modulation is observed at a pulse peak-power of just ~250 mW. We also observe soliton-emitted radiation, fully supported by theoretical analysis, from which we determine directly the third-order dispersion coefficient, β 3=-0.73±0.05 ps3/m at 1537 nm.

© 2006 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  31. M. R. E. Lamont, M. Rochette, D. J. Moss, B. J. Eggleton, “Two-Photon Absorption Effects on SPM-Based 2R Optical Regeneration,” IEEE Photon. Technol. Lett. 18, 1185–1187 (2006).
    [CrossRef]

2006

H. Rong, Y. -H. Kuo, A. Liu, M. Paniccia, O. Cohen, “High efficiency wavelength conversion of 10 Gb/s data in silicon waveguides,” Opt. Express 14, 1182–1188 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-3-1182
[CrossRef] [PubMed]

Q. Lin, J. Zhang, P. M. Fauchet, G. P. Agrawal, “Ultrabroadband parametric generation and wavelength conversion in silicon waveguides,” Opt. Express 14, 4786–4799 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-11-4786
[CrossRef] [PubMed]

E. Dulkeith, Y. A. Vlasov, X. Chen, N. C. Panoiu, R. M. Osgood, Jr., “Self-phase-modulation in submicron silicon-on-insulator photonic wires,” Opt. Express 14, 5524–5534 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-12-5524
[CrossRef] [PubMed]

X. G. Chen, N. C. Panoiu, R. M. Osgood, “Theory of Raman-mediated pulsed amplification in silicon-wire waveguides,” IEEE J. Quantum Electron. 42, 160–170 (2006).
[CrossRef]

E. Dulkeith, F. Xia, L. Schares, W. M. J. Green, Y. A. Vlasov, “Group index and group velocity dispersion in silicon-on-insulator photonic wires,” Opt. Express 14, 3853–3863 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-9-3853
[CrossRef] [PubMed]

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, A. L. Gaeta, “Tailored anomalous group velocity dispersion in silicon channel waveguides,” Opt. Express 14, 4357–4362 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-10-4357
[CrossRef] [PubMed]

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

L. Yin, Q. Lin, G. P. Agrawal, “Dispersion tailoring and soliton propagation in silicon waveguides,” Opt. Lett. 31, 1295–1297 (2006).
[CrossRef] [PubMed]

M. R. E. Lamont, M. Rochette, D. J. Moss, B. J. Eggleton, “Two-Photon Absorption Effects on SPM-Based 2R Optical Regeneration,” IEEE Photon. Technol. Lett. 18, 1185–1187 (2006).
[CrossRef]

2005

2004

R. Espinola, J. I. Dadap, R. Osgood, Jr., S. J. McNab, Y. A. Vlasov, “Raman amplification in ultrasmall silicon-on-insulator wire waveguides,” Opt. Express 12, 3713–3718 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-16-3713
[CrossRef] [PubMed]

J. I. Dadap, R. L. Espinola, R. M. Osgood, S. J. McNab, Y. A. Vlasov, “Spontaneous Raman scattering in ultrasmall silicon waveguides,” Opt. Lett. 29, 2755–2757 (2004).
[CrossRef] [PubMed]

Y. Vlasov, S. McNab, “Losses in single-mode silicon-on-insulator strip waveguides and bends,” Opt. Express 12, 1622–1631 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-8-1622
[CrossRef] [PubMed]

O. Boyraz, T. Indukuri, B. Jalali, “Self-phase-modulation induced spectral broadening in silicon waveguides,” Opt. Express 12, 829–834 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-5-829
[CrossRef] [PubMed]

G. W. Rieger, K. S. Virk, J. F. Young, “Nonlinear propagation of ultrafast 1.5 µm pulses in high-index-contrast silicon-on-insulator waveguides,” Appl. Phys. Lett. 84, 900–902 (2004).
[CrossRef]

O. Boyraz, B. Jalali, “Demonstration of a silicon Raman laser,” Opt. Express 12, 5269–5273 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-21-5269
[CrossRef] [PubMed]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).
[CrossRef] [PubMed]

M. Harjanne, M. Kapulainen, T. Aalto, P. Heimala, “Sub-µs switching time in silicon-on-insulator Mach-Zehnder thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2039–2041 (2004).
[CrossRef]

M. W. Geis, S. J. Spector, R. C. Williamson, T. M. Lyszczarz, “Submicrosecond, submilliwatt, silicon on insulator thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2514–2516 (2004).
[CrossRef]

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

2003

M. Dinu, F. Quochi, H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82, 2954–2956 (2003).
[CrossRef]

R. L. Espinola, M.-C. Tai, J. T. Yardley, R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15, 1366–1368 (2003).
[CrossRef]

2002

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

1989

K. W. DeLong, K. B. Rochford, G. I. Stegeman, “Effect of two-photon absorption on all-optical guided-wave devices,” Appl. Phys. Lett. 55, 1823–1825 (1989).
[CrossRef]

1986

Aalto, T.

M. Harjanne, M. Kapulainen, T. Aalto, P. Heimala, “Sub-µs switching time in silicon-on-insulator Mach-Zehnder thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2039–2041 (2004).
[CrossRef]

Agrawal, G. P.

Aitchison, J. S.

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

Almeida, V. R.

V. R. Almeida, C. A. Barrios, R. R. Panepucci, M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).
[CrossRef] [PubMed]

Asghari, M.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

Barrios, C. A.

V. R. Almeida, C. A. Barrios, R. R. Panepucci, M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).
[CrossRef] [PubMed]

Boyraz, O.

Chen, H. H.

Chen, X.

E. Dulkeith, Y. A. Vlasov, X. Chen, N. C. Panoiu, R. M. Osgood, Jr., “Self-phase-modulation in submicron silicon-on-insulator photonic wires,” Opt. Express 14, 5524–5534 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-12-5524
[CrossRef] [PubMed]

X. Chen, N. Panoiu, I. Hsieh, J. I. Dadap, R. M. Osgood, Jr., “Third-order Dispersion and Ultrafast Pulse Propagation in Silicon Wire Waveguides,” IEEE Photon. Technol. Lett., to be published (2006).
[CrossRef]

I. Hsieh, X. Chen, J. I. Dadap, N. Panoiu, R. Osgood, Y. A. Vlasov, S. McNab, “Cross-Phase Modulation in Si Photonic Wire Waveguides,” CLEO Conference Proceedings, Anaheim, CA (2006).

Chen, X. G.

X. G. Chen, N. C. Panoiu, R. M. Osgood, “Theory of Raman-mediated pulsed amplification in silicon-wire waveguides,” IEEE J. Quantum Electron. 42, 160–170 (2006).
[CrossRef]

N. C. Panoiu, X. G. Chen, R. M. Osgood, “Modulation instability in silicon photonic nanowires,” Opt. Lett., to be published (2006).
[CrossRef] [PubMed]

Cohen, O.

Dadap, J.

Dadap, J. I.

R. Espinola, J. I. Dadap, R. Osgood, Jr., S. J. McNab, Y. A. Vlasov, “Raman amplification in ultrasmall silicon-on-insulator wire waveguides,” Opt. Express 12, 3713–3718 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-16-3713
[CrossRef] [PubMed]

J. I. Dadap, R. L. Espinola, R. M. Osgood, S. J. McNab, Y. A. Vlasov, “Spontaneous Raman scattering in ultrasmall silicon waveguides,” Opt. Lett. 29, 2755–2757 (2004).
[CrossRef] [PubMed]

I. Hsieh, X. Chen, J. I. Dadap, N. Panoiu, R. Osgood, Y. A. Vlasov, S. McNab, “Cross-Phase Modulation in Si Photonic Wire Waveguides,” CLEO Conference Proceedings, Anaheim, CA (2006).

X. Chen, N. Panoiu, I. Hsieh, J. I. Dadap, R. M. Osgood, Jr., “Third-order Dispersion and Ultrafast Pulse Propagation in Silicon Wire Waveguides,” IEEE Photon. Technol. Lett., to be published (2006).
[CrossRef]

Day, I. E.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

DeLong, K. W.

K. W. DeLong, K. B. Rochford, G. I. Stegeman, “Effect of two-photon absorption on all-optical guided-wave devices,” Appl. Phys. Lett. 55, 1823–1825 (1989).
[CrossRef]

Dinu, M.

M. Dinu, F. Quochi, H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82, 2954–2956 (2003).
[CrossRef]

Drake, J.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

Dulkeith, E.

Eggleton, B. J.

M. R. E. Lamont, M. Rochette, D. J. Moss, B. J. Eggleton, “Two-Photon Absorption Effects on SPM-Based 2R Optical Regeneration,” IEEE Photon. Technol. Lett. 18, 1185–1187 (2006).
[CrossRef]

Espinola, R.

Espinola, R. L.

J. I. Dadap, R. L. Espinola, R. M. Osgood, S. J. McNab, Y. A. Vlasov, “Spontaneous Raman scattering in ultrasmall silicon waveguides,” Opt. Lett. 29, 2755–2757 (2004).
[CrossRef] [PubMed]

R. L. Espinola, M.-C. Tai, J. T. Yardley, R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15, 1366–1368 (2003).
[CrossRef]

Fang, A.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, M. Paniccia, “An all-silicon Raman laser,” Nature 433, 294–296 (2005).
[CrossRef]

Fauchet, P. M.

Foster, M. A.

Fukuda, H.

Gaeta, A. L.

Garcia, H.

M. Dinu, F. Quochi, H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82, 2954–2956 (2003).
[CrossRef]

Geis, M. W.

M. W. Geis, S. J. Spector, R. C. Williamson, T. M. Lyszczarz, “Submicrosecond, submilliwatt, silicon on insulator thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2514–2516 (2004).
[CrossRef]

Green, W. M. J.

Hak, D.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, M. Paniccia, “An all-silicon Raman laser,” Nature 433, 294–296 (2005).
[CrossRef]

Harjanne, M.

M. Harjanne, M. Kapulainen, T. Aalto, P. Heimala, “Sub-µs switching time in silicon-on-insulator Mach-Zehnder thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2039–2041 (2004).
[CrossRef]

Harpin, A.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

Heimala, P.

M. Harjanne, M. Kapulainen, T. Aalto, P. Heimala, “Sub-µs switching time in silicon-on-insulator Mach-Zehnder thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2039–2041 (2004).
[CrossRef]

Hsieh, I.

I. Hsieh, X. Chen, J. I. Dadap, N. Panoiu, R. Osgood, Y. A. Vlasov, S. McNab, “Cross-Phase Modulation in Si Photonic Wire Waveguides,” CLEO Conference Proceedings, Anaheim, CA (2006).

X. Chen, N. Panoiu, I. Hsieh, J. I. Dadap, R. M. Osgood, Jr., “Third-order Dispersion and Ultrafast Pulse Propagation in Silicon Wire Waveguides,” IEEE Photon. Technol. Lett., to be published (2006).
[CrossRef]

Indukuri, T.

Itabashi, S. -i.

Jalali, B.

Jones, R.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, M. Paniccia, “An all-silicon Raman laser,” Nature 433, 294–296 (2005).
[CrossRef]

Kapulainen, M.

M. Harjanne, M. Kapulainen, T. Aalto, P. Heimala, “Sub-µs switching time in silicon-on-insulator Mach-Zehnder thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2039–2041 (2004).
[CrossRef]

Kuo, Y. -H.

Lamont, M. R. E.

M. R. E. Lamont, M. Rochette, D. J. Moss, B. J. Eggleton, “Two-Photon Absorption Effects on SPM-Based 2R Optical Regeneration,” IEEE Photon. Technol. Lett. 18, 1185–1187 (2006).
[CrossRef]

Lederer, F.

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

Lee, Y. C.

Liang, T. K.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

Lin, Q.

Lipson, M.

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

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, A. L. Gaeta, “Tailored anomalous group velocity dispersion in silicon channel waveguides,” Opt. Express 14, 4357–4362 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-10-4357
[CrossRef] [PubMed]

S. F. Preble, Q. Xu, B. S. Schmidt, M. Lipson, “Ultrafast all-optical modulation on a silicon chip,” Opt. Lett. 30, 2891–2893 (2005).
[CrossRef] [PubMed]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).
[CrossRef] [PubMed]

Liu, A.

Lyszczarz, T. M.

M. W. Geis, S. J. Spector, R. C. Williamson, T. M. Lyszczarz, “Submicrosecond, submilliwatt, silicon on insulator thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2514–2516 (2004).
[CrossRef]

Manolatou, C.

Mazilu, D.

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

McNab, S.

McNab, S. J.

Melnikov, I. V.

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

Menyuk, C. R.

Mihalache, D.

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

Moss, D. J.

M. R. E. Lamont, M. Rochette, D. J. Moss, B. J. Eggleton, “Two-Photon Absorption Effects on SPM-Based 2R Optical Regeneration,” IEEE Photon. Technol. Lett. 18, 1185–1187 (2006).
[CrossRef]

Nicolaescu, R.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, M. Paniccia, “An all-silicon Raman laser,” Nature 433, 294–296 (2005).
[CrossRef]

Osgood, R.

I. Hsieh, X. Chen, J. I. Dadap, N. Panoiu, R. Osgood, Y. A. Vlasov, S. McNab, “Cross-Phase Modulation in Si Photonic Wire Waveguides,” CLEO Conference Proceedings, Anaheim, CA (2006).

Osgood, R. M.

X. G. Chen, N. C. Panoiu, R. M. Osgood, “Theory of Raman-mediated pulsed amplification in silicon-wire waveguides,” IEEE J. Quantum Electron. 42, 160–170 (2006).
[CrossRef]

J. I. Dadap, R. L. Espinola, R. M. Osgood, S. J. McNab, Y. A. Vlasov, “Spontaneous Raman scattering in ultrasmall silicon waveguides,” Opt. Lett. 29, 2755–2757 (2004).
[CrossRef] [PubMed]

R. L. Espinola, M.-C. Tai, J. T. Yardley, R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15, 1366–1368 (2003).
[CrossRef]

N. C. Panoiu, X. G. Chen, R. M. Osgood, “Modulation instability in silicon photonic nanowires,” Opt. Lett., to be published (2006).
[CrossRef] [PubMed]

Osgood, Jr., R.

Osgood, Jr., R. M.

E. Dulkeith, Y. A. Vlasov, X. Chen, N. C. Panoiu, R. M. Osgood, Jr., “Self-phase-modulation in submicron silicon-on-insulator photonic wires,” Opt. Express 14, 5524–5534 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-12-5524
[CrossRef] [PubMed]

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

X. Chen, N. Panoiu, I. Hsieh, J. I. Dadap, R. M. Osgood, Jr., “Third-order Dispersion and Ultrafast Pulse Propagation in Silicon Wire Waveguides,” IEEE Photon. Technol. Lett., to be published (2006).
[CrossRef]

Panepucci, R. R.

V. R. Almeida, C. A. Barrios, R. R. Panepucci, M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).
[CrossRef] [PubMed]

Paniccia, M.

Panoiu, N.

X. Chen, N. Panoiu, I. Hsieh, J. I. Dadap, R. M. Osgood, Jr., “Third-order Dispersion and Ultrafast Pulse Propagation in Silicon Wire Waveguides,” IEEE Photon. Technol. Lett., to be published (2006).
[CrossRef]

I. Hsieh, X. Chen, J. I. Dadap, N. Panoiu, R. Osgood, Y. A. Vlasov, S. McNab, “Cross-Phase Modulation in Si Photonic Wire Waveguides,” CLEO Conference Proceedings, Anaheim, CA (2006).

Panoiu, N. C.

X. G. Chen, N. C. Panoiu, R. M. Osgood, “Theory of Raman-mediated pulsed amplification in silicon-wire waveguides,” IEEE J. Quantum Electron. 42, 160–170 (2006).
[CrossRef]

E. Dulkeith, Y. A. Vlasov, X. Chen, N. C. Panoiu, R. M. Osgood, Jr., “Self-phase-modulation in submicron silicon-on-insulator photonic wires,” Opt. Express 14, 5524–5534 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-12-5524
[CrossRef] [PubMed]

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

N. C. Panoiu, X. G. Chen, R. M. Osgood, “Modulation instability in silicon photonic nanowires,” Opt. Lett., to be published (2006).
[CrossRef] [PubMed]

Preble, S. F.

Quochi, F.

M. Dinu, F. Quochi, H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82, 2954–2956 (2003).
[CrossRef]

Rieger, G. W.

G. W. Rieger, K. S. Virk, J. F. Young, “Nonlinear propagation of ultrafast 1.5 µm pulses in high-index-contrast silicon-on-insulator waveguides,” Appl. Phys. Lett. 84, 900–902 (2004).
[CrossRef]

Roberts, S.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

Rochette, M.

M. R. E. Lamont, M. Rochette, D. J. Moss, B. J. Eggleton, “Two-Photon Absorption Effects on SPM-Based 2R Optical Regeneration,” IEEE Photon. Technol. Lett. 18, 1185–1187 (2006).
[CrossRef]

Rochford, K. B.

K. W. DeLong, K. B. Rochford, G. I. Stegeman, “Effect of two-photon absorption on all-optical guided-wave devices,” Appl. Phys. Lett. 55, 1823–1825 (1989).
[CrossRef]

Rong, H.

Schares, L.

Schmidt, B. S.

Sharping, J. E.

Shoji, T.

Spector, S. J.

M. W. Geis, S. J. Spector, R. C. Williamson, T. M. Lyszczarz, “Submicrosecond, submilliwatt, silicon on insulator thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2514–2516 (2004).
[CrossRef]

Stegeman, G. I.

K. W. DeLong, K. B. Rochford, G. I. Stegeman, “Effect of two-photon absorption on all-optical guided-wave devices,” Appl. Phys. Lett. 55, 1823–1825 (1989).
[CrossRef]

Tai, M.-C.

R. L. Espinola, M.-C. Tai, J. T. Yardley, R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15, 1366–1368 (2003).
[CrossRef]

Takahashi, J. -i.

Takahashi, M.

Tsang, H. K.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

Tsuchizawa, T.

Turner, A. C.

Virk, K. S.

G. W. Rieger, K. S. Virk, J. F. Young, “Nonlinear propagation of ultrafast 1.5 µm pulses in high-index-contrast silicon-on-insulator waveguides,” Appl. Phys. Lett. 84, 900–902 (2004).
[CrossRef]

Vlasov, Y.

Vlasov, Y. A.

Wai, P. K. A.

Watanabe, T.

Williamson, R. C.

M. W. Geis, S. J. Spector, R. C. Williamson, T. M. Lyszczarz, “Submicrosecond, submilliwatt, silicon on insulator thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2514–2516 (2004).
[CrossRef]

Wong, C. S.

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

Xia, F.

Xu, Q.

Yamada, K.

Yardley, J. T.

R. L. Espinola, M.-C. Tai, J. T. Yardley, R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15, 1366–1368 (2003).
[CrossRef]

Yin, L.

Young, J. F.

G. W. Rieger, K. S. Virk, J. F. Young, “Nonlinear propagation of ultrafast 1.5 µm pulses in high-index-contrast silicon-on-insulator waveguides,” Appl. Phys. Lett. 84, 900–902 (2004).
[CrossRef]

Zhang, J.

Appl. Phys. Lett.

G. W. Rieger, K. S. Virk, J. F. Young, “Nonlinear propagation of ultrafast 1.5 µm pulses in high-index-contrast silicon-on-insulator waveguides,” Appl. Phys. Lett. 84, 900–902 (2004).
[CrossRef]

H. K. Tsang, C. S. Wong, T. K. Liang, I. E. Day, S. Roberts, A. Harpin, J. Drake, M. Asghari, “Optical dispersion, TPA and SPM in Si waveguides at 1.5 µm wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).
[CrossRef]

M. Dinu, F. Quochi, H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82, 2954–2956 (2003).
[CrossRef]

K. W. DeLong, K. B. Rochford, G. I. Stegeman, “Effect of two-photon absorption on all-optical guided-wave devices,” Appl. Phys. Lett. 55, 1823–1825 (1989).
[CrossRef]

IEEE J. Quantum Electron.

X. G. Chen, N. C. Panoiu, R. M. Osgood, “Theory of Raman-mediated pulsed amplification in silicon-wire waveguides,” IEEE J. Quantum Electron. 42, 160–170 (2006).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

N. C. Panoiu, D. Mihalache, D. Mazilu, I. V. Melnikov, J. S. Aitchison, F. Lederer, R. M. Osgood, Jr., “Dynamics of dual-frequency solitons under the influence of frequency-sliding filters, third-order dispersion, and intrapulse Raman scattering” IEEE J. Sel. Top. Quantum Electron. 10, 885–892 (2004).
[CrossRef]

IEEE Photon. Technol. Lett.

M. R. E. Lamont, M. Rochette, D. J. Moss, B. J. Eggleton, “Two-Photon Absorption Effects on SPM-Based 2R Optical Regeneration,” IEEE Photon. Technol. Lett. 18, 1185–1187 (2006).
[CrossRef]

R. L. Espinola, M.-C. Tai, J. T. Yardley, R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15, 1366–1368 (2003).
[CrossRef]

M. Harjanne, M. Kapulainen, T. Aalto, P. Heimala, “Sub-µs switching time in silicon-on-insulator Mach-Zehnder thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2039–2041 (2004).
[CrossRef]

M. W. Geis, S. J. Spector, R. C. Williamson, T. M. Lyszczarz, “Submicrosecond, submilliwatt, silicon on insulator thermooptic switch,” IEEE Photon. Technol. Lett. 16, 2514–2516 (2004).
[CrossRef]

Nature

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, M. Paniccia, “An all-silicon Raman laser,” Nature 433, 294–296 (2005).
[CrossRef]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).
[CrossRef] [PubMed]

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

Opt. Express

O. Boyraz, B. Jalali, “Demonstration of a silicon Raman laser,” Opt. Express 12, 5269–5273 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-21-5269
[CrossRef] [PubMed]

Y. Vlasov, S. McNab, “Losses in single-mode silicon-on-insulator strip waveguides and bends,” Opt. Express 12, 1622–1631 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-8-1622
[CrossRef] [PubMed]

R. Espinola, J. I. Dadap, R. Osgood, Jr., S. J. McNab, Y. A. Vlasov, “Raman amplification in ultrasmall silicon-on-insulator wire waveguides,” Opt. Express 12, 3713–3718 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-16-3713
[CrossRef] [PubMed]

R. Espinola, J. Dadap, R. Osgood, Jr., S. McNab, Y. Vlasov, “C-band wavelength conversion in silicon photonic wire waveguides,” Opt. Express 13, 4341–4349 (2005). http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-11-4341
[CrossRef] [PubMed]

H. Rong, Y. -H. Kuo, A. Liu, M. Paniccia, O. Cohen, “High efficiency wavelength conversion of 10 Gb/s data in silicon waveguides,” Opt. Express 14, 1182–1188 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-3-1182
[CrossRef] [PubMed]

Q. Lin, J. Zhang, P. M. Fauchet, G. P. Agrawal, “Ultrabroadband parametric generation and wavelength conversion in silicon waveguides,” Opt. Express 14, 4786–4799 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-11-4786
[CrossRef] [PubMed]

H. Fukuda, K. Yamada, T. Shoji, M. Takahashi, T. Tsuchizawa, T. Watanabe, J. -i. Takahashi, S. -i. Itabashi, “Four-wave mixing in silicon wire waveguides,” Opt. Express 13, 4629–4637 (2005). http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-12-4629
[CrossRef] [PubMed]

E. Dulkeith, Y. A. Vlasov, X. Chen, N. C. Panoiu, R. M. Osgood, Jr., “Self-phase-modulation in submicron silicon-on-insulator photonic wires,” Opt. Express 14, 5524–5534 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-12-5524
[CrossRef] [PubMed]

O. Boyraz, T. Indukuri, B. Jalali, “Self-phase-modulation induced spectral broadening in silicon waveguides,” Opt. Express 12, 829–834 (2004). http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-5-829
[CrossRef] [PubMed]

E. Dulkeith, F. Xia, L. Schares, W. M. J. Green, Y. A. Vlasov, “Group index and group velocity dispersion in silicon-on-insulator photonic wires,” Opt. Express 14, 3853–3863 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-9-3853
[CrossRef] [PubMed]

A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, A. L. Gaeta, “Tailored anomalous group velocity dispersion in silicon channel waveguides,” Opt. Express 14, 4357–4362 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-10-4357
[CrossRef] [PubMed]

Opt. Lett.

Other

N. C. Panoiu, X. G. Chen, R. M. Osgood, “Modulation instability in silicon photonic nanowires,” Opt. Lett., to be published (2006).
[CrossRef] [PubMed]

X. Chen, N. Panoiu, I. Hsieh, J. I. Dadap, R. M. Osgood, Jr., “Third-order Dispersion and Ultrafast Pulse Propagation in Silicon Wire Waveguides,” IEEE Photon. Technol. Lett., to be published (2006).
[CrossRef]

I. Hsieh, X. Chen, J. I. Dadap, N. Panoiu, R. Osgood, Y. A. Vlasov, S. McNab, “Cross-Phase Modulation in Si Photonic Wire Waveguides,” CLEO Conference Proceedings, Anaheim, CA (2006).

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Figures (4)

Fig. 1.
Fig. 1.

Dependence of output power on coupled input power. Experiment: squares. Simulations: red and blue curves—hyperbolic secant and Gaussian input, respectively; dashed green curve—hyperbolic secant input without FCA. Inset: “zoom-in” of the saturation region.

Fig. 2.
Fig. 2.

Experimental observation of SPM with femtosecond pulses.

Fig. 3.
Fig. 3.

Left panel: effective index n eff (red), group index n g(blue), and 2nd-order dispersion coefficient β 2 (green) vs. wavelength. Right panels: Right panels, major (E x ) and minor (E y ) electric field components of the Si photonic-wire used in simulations and experiments.

Fig. 4.
Fig. 4.

Data (left panel) and numerical simulations (right panel) of output spectra at P 0=5 and 200 mW. Right panel: Gaussian (green) and sech (red) input pulses. Blue curves correspond to P 0=5 mW (with sech input pulse for simulation). Dashed line: OSA noise floor.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

i ψ ξ + δ 2 2 ψ τ 2 + i δ 6 3 ψ τ 3 = i θ ( α in + α FC ) ψ η δ n FC ψ γ ψ 2 ψ
( Δ N ) τ = Δ N τ c + ρ P 0 2 ψ 4

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