Abstract

We experimentally demonstrate the existence of multiple, simultaneous, independent four-wave mixing processes in optical fibers. In particular we observe competition between phase-matched and non-phase-matched processes involving the same mixed coherent-incoherent pump. Further investigation reveals that narrow-band degenerate four-wave mixing with an incoherent pump can lead to efficient wavelength conversion.

© 2010 Optical Society of America

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  1. R. H. Stolen, J. E. Bjorkholm, and A. Ashkin, “Phase-matched three-wave mixing in silica fiber optical waveguides,” Appl. Phys. Lett. 24, 308–310 (1974).
    [CrossRef]
  2. A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
    [CrossRef]
  3. D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, “Dynamical evolution of multiple four-wave-mixing processes in an optical fiber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 57, 4757–4774 (1998).
    [CrossRef]
  4. G. Millot, “Multiple four-wave mixing-induced modulational instability in highly birefringent fibers,” Opt. Lett. 26, 1391–1393 (2001).
    [CrossRef]
  5. G. Cappellini, and S. Trillo, “Third-order three-wave mixing in single-mode fibers: exact solutions and spatial instability effects,” J. Opt. Soc. Am. B 8, 824–838 (1991).
    [CrossRef]
  6. A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
    [CrossRef] [PubMed]
  7. S. Coen, D. A. Wardle, and J. D. Harvey, “Observation of non-phase-matched parametric amplification in resonant nonlinear optics,” Phys. Rev. Lett. 89, 273901 (2002).
    [CrossRef]
  8. Y. Chen, and A. W. Snyder, “Four-photon parametric mixing in optical fibers: effect of pump depletion,” Opt. Lett. 14, 87–89 (1989).
    [CrossRef] [PubMed]
  9. R. Stolen, and J. Bjorkholm, “Parametric amplification and frequency conversion in optical fibers,” IEEE J. Quantum Electron. 18, 1062–1072 (1982).
    [CrossRef]
  10. J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
    [CrossRef]
  11. M. Islam, and O. Boyraz, “Fiber parametric amplifiers for wavelength band conversion,” IEEE J. Sel. Top. Quantum Electron. 8, 527–537 (2002).
    [CrossRef]
  12. M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, “Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra,” Opt. Lett. 21, 1354 (1996).
    [CrossRef] [PubMed]
  13. S. Coen, and M. Haelterman, “Continuous-wave ultrahigh-repetition-rate pulse-train generation through modulational instability in a passive fiber cavity,” Opt. Lett. 26, 39–41 (2001).
    [CrossRef]
  14. J. Fatome, S. Pitois, and G. Millot, “20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fibers,” IEEE J. Quantum Electron. 42, 1038–1046 (2006).
    [CrossRef]
  15. J. Schr¨oder, S. Coen, F. Vanholsbeeck, and T. Sylvestre, “Passively mode-locked Raman fiber laser with 100 GHz repetition rate,” Opt. Lett. 31, 3489–3491 (2006).
    [CrossRef] [PubMed]
  16. R. K. Jain, and K. Stenersen, “Phase-matched four-photon mixing processes in birefringent fibers,” Appl. Phys. B 35, 49–57 (1984).
    [CrossRef]
  17. J. R. Thompson, and R. Roy, “Multiple four-wave mixing process in an optical fiber,” Opt. Lett. 16, 557–559 (1991).
    [CrossRef] [PubMed]
  18. J. R. Thompson, and R. Roy, “Nonlinear dynamics of multiple four-wave mixing processes in a single-mode fiber,” Phys. Rev. A 43, 4987–4996 (1991).
    [CrossRef] [PubMed]
  19. S. Trillo, S. Wabnitz, and T. A. B. Kennedy, “Nonlinear dynamics of dual-frequency-pumped multiwave mixing in optical fibers,” Phys. Rev. A 50, 1732–1747 (1994).
    [CrossRef] [PubMed]
  20. X. Liu, X. Zhou, and C. Lu, “Multiple four-wave mixing self-stability in optical fibers,” Phys. Rev. A 72, 013811 (2005).
    [CrossRef]
  21. C. J. McKinstrie, and M. G. Raymer, “Four-wave-mixing cascades near the zero-dispersion frequency,” Opt. Express 14, 9600–9610 (2006).
    [CrossRef] [PubMed]
  22. E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, “Phase matching for parametric amplification in a singlemode birefringent fiber: influence of the non-phase-matched waves,” J. Opt. Soc. Am. B 14, 116–125 (1997).
    [CrossRef]
  23. T. Sylvestre, H. Maillotte, E. Lantz, and P. T. Dinda, “Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber,” Opt. Lett. 24, 1561–1563 (1999).
    [CrossRef]
  24. Y. S. Jang, and Y. C. Chung, “Four-wave mixing of incoherent light in a dispersion-shifted fiber using a spectrumsliced fiber amplifier light source,” IEEE Photon. Technol. Lett. 10, 218–220 (1998).
    [CrossRef]
  25. A. Sauter, S. Pitois, G. Millot, and A. Picozzi, “Incoherent modulation instability in instantaneous nonlinear Kerr media,” Opt. Lett. 30, 2143–2145 (2005).
    [CrossRef] [PubMed]
  26. S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
    [CrossRef] [PubMed]
  27. J. M. Ch’avez Boggio, and H. L. Fragnito, “Simple four-wave-mixing-based method for measuring the ratio between the third- and fourth-order dispersion in optical fibers,” J. Opt. Soc. Am. B 24, 2046–2054 (2007).
    [CrossRef]
  28. Y. Q. Xu, and S. G. Murdoch, “Gain spectrum of an optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 169–171 (2010).
    [CrossRef] [PubMed]
  29. Y. Q. Xu, and S. G. Murdoch, “Gain statistics of a fiber optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 826–829 (2010).
    [CrossRef] [PubMed]
  30. J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
    [CrossRef] [PubMed]
  31. M. Marhic, K.-Y. Wong, and L. Kazovsky, “Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers,” IEEE J. Sel. Top. Quantum Electron. 10, 1133–1141 (2004).
    [CrossRef]

2010

Y. Q. Xu, and S. G. Murdoch, “Gain spectrum of an optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 169–171 (2010).
[CrossRef] [PubMed]

Y. Q. Xu, and S. G. Murdoch, “Gain statistics of a fiber optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 826–829 (2010).
[CrossRef] [PubMed]

2008

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

2007

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

J. M. Ch’avez Boggio, and H. L. Fragnito, “Simple four-wave-mixing-based method for measuring the ratio between the third- and fourth-order dispersion in optical fibers,” J. Opt. Soc. Am. B 24, 2046–2054 (2007).
[CrossRef]

2006

C. J. McKinstrie, and M. G. Raymer, “Four-wave-mixing cascades near the zero-dispersion frequency,” Opt. Express 14, 9600–9610 (2006).
[CrossRef] [PubMed]

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

J. Fatome, S. Pitois, and G. Millot, “20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fibers,” IEEE J. Quantum Electron. 42, 1038–1046 (2006).
[CrossRef]

J. Schr¨oder, S. Coen, F. Vanholsbeeck, and T. Sylvestre, “Passively mode-locked Raman fiber laser with 100 GHz repetition rate,” Opt. Lett. 31, 3489–3491 (2006).
[CrossRef] [PubMed]

2005

A. Sauter, S. Pitois, G. Millot, and A. Picozzi, “Incoherent modulation instability in instantaneous nonlinear Kerr media,” Opt. Lett. 30, 2143–2145 (2005).
[CrossRef] [PubMed]

X. Liu, X. Zhou, and C. Lu, “Multiple four-wave mixing self-stability in optical fibers,” Phys. Rev. A 72, 013811 (2005).
[CrossRef]

2004

M. Marhic, K.-Y. Wong, and L. Kazovsky, “Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers,” IEEE J. Sel. Top. Quantum Electron. 10, 1133–1141 (2004).
[CrossRef]

2003

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

2002

J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[CrossRef]

M. Islam, and O. Boyraz, “Fiber parametric amplifiers for wavelength band conversion,” IEEE J. Sel. Top. Quantum Electron. 8, 527–537 (2002).
[CrossRef]

S. Coen, D. A. Wardle, and J. D. Harvey, “Observation of non-phase-matched parametric amplification in resonant nonlinear optics,” Phys. Rev. Lett. 89, 273901 (2002).
[CrossRef]

2001

G. Millot, “Multiple four-wave mixing-induced modulational instability in highly birefringent fibers,” Opt. Lett. 26, 1391–1393 (2001).
[CrossRef]

S. Coen, and M. Haelterman, “Continuous-wave ultrahigh-repetition-rate pulse-train generation through modulational instability in a passive fiber cavity,” Opt. Lett. 26, 39–41 (2001).
[CrossRef]

1999

T. Sylvestre, H. Maillotte, E. Lantz, and P. T. Dinda, “Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber,” Opt. Lett. 24, 1561–1563 (1999).
[CrossRef]

1998

Y. S. Jang, and Y. C. Chung, “Four-wave mixing of incoherent light in a dispersion-shifted fiber using a spectrumsliced fiber amplifier light source,” IEEE Photon. Technol. Lett. 10, 218–220 (1998).
[CrossRef]

D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, “Dynamical evolution of multiple four-wave-mixing processes in an optical fiber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 57, 4757–4774 (1998).
[CrossRef]

1997

E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, “Phase matching for parametric amplification in a singlemode birefringent fiber: influence of the non-phase-matched waves,” J. Opt. Soc. Am. B 14, 116–125 (1997).
[CrossRef]

1996

M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, “Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra,” Opt. Lett. 21, 1354 (1996).
[CrossRef] [PubMed]

1994

S. Trillo, S. Wabnitz, and T. A. B. Kennedy, “Nonlinear dynamics of dual-frequency-pumped multiwave mixing in optical fibers,” Phys. Rev. A 50, 1732–1747 (1994).
[CrossRef] [PubMed]

1991

J. R. Thompson, and R. Roy, “Multiple four-wave mixing process in an optical fiber,” Opt. Lett. 16, 557–559 (1991).
[CrossRef] [PubMed]

J. R. Thompson, and R. Roy, “Nonlinear dynamics of multiple four-wave mixing processes in a single-mode fiber,” Phys. Rev. A 43, 4987–4996 (1991).
[CrossRef] [PubMed]

G. Cappellini, and S. Trillo, “Third-order three-wave mixing in single-mode fibers: exact solutions and spatial instability effects,” J. Opt. Soc. Am. B 8, 824–838 (1991).
[CrossRef]

1989

Y. Chen, and A. W. Snyder, “Four-photon parametric mixing in optical fibers: effect of pump depletion,” Opt. Lett. 14, 87–89 (1989).
[CrossRef] [PubMed]

1984

R. K. Jain, and K. Stenersen, “Phase-matched four-photon mixing processes in birefringent fibers,” Appl. Phys. B 35, 49–57 (1984).
[CrossRef]

1982

R. Stolen, and J. Bjorkholm, “Parametric amplification and frequency conversion in optical fibers,” IEEE J. Quantum Electron. 18, 1062–1072 (1982).
[CrossRef]

1974

R. H. Stolen, J. E. Bjorkholm, and A. Ashkin, “Phase-matched three-wave mixing in silica fiber optical waveguides,” Appl. Phys. Lett. 24, 308–310 (1974).
[CrossRef]

Andrekson, P.

J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[CrossRef]

Ashkin, A.

R. H. Stolen, J. E. Bjorkholm, and A. Ashkin, “Phase-matched three-wave mixing in silica fiber optical waveguides,” Appl. Phys. Lett. 24, 308–310 (1974).
[CrossRef]

Beletic, J. W.

D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, “Dynamical evolution of multiple four-wave-mixing processes in an optical fiber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 57, 4757–4774 (1998).
[CrossRef]

Bjorkholm, J.

R. Stolen, and J. Bjorkholm, “Parametric amplification and frequency conversion in optical fibers,” IEEE J. Quantum Electron. 18, 1062–1072 (1982).
[CrossRef]

Bjorkholm, J. E.

R. H. Stolen, J. E. Bjorkholm, and A. Ashkin, “Phase-matched three-wave mixing in silica fiber optical waveguides,” Appl. Phys. Lett. 24, 308–310 (1974).
[CrossRef]

Boggio, J. M. C.

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

Boyraz, O.

M. Islam, and O. Boyraz, “Fiber parametric amplifiers for wavelength band conversion,” IEEE J. Sel. Top. Quantum Electron. 8, 527–537 (2002).
[CrossRef]

Cappellini, G.

G. Cappellini, and S. Trillo, “Third-order three-wave mixing in single-mode fibers: exact solutions and spatial instability effects,” J. Opt. Soc. Am. B 8, 824–838 (1991).
[CrossRef]

Ch’avez Boggio, J. M.

J. M. Ch’avez Boggio, and H. L. Fragnito, “Simple four-wave-mixing-based method for measuring the ratio between the third- and fourth-order dispersion in optical fibers,” J. Opt. Soc. Am. B 24, 2046–2054 (2007).
[CrossRef]

Chen, Y.

Y. Chen, and A. W. Snyder, “Four-photon parametric mixing in optical fibers: effect of pump depletion,” Opt. Lett. 14, 87–89 (1989).
[CrossRef] [PubMed]

Chung, Y. C.

Y. S. Jang, and Y. C. Chung, “Four-wave mixing of incoherent light in a dispersion-shifted fiber using a spectrumsliced fiber amplifier light source,” IEEE Photon. Technol. Lett. 10, 218–220 (1998).
[CrossRef]

Coen, S.

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

J. Schr¨oder, S. Coen, F. Vanholsbeeck, and T. Sylvestre, “Passively mode-locked Raman fiber laser with 100 GHz repetition rate,” Opt. Lett. 31, 3489–3491 (2006).
[CrossRef] [PubMed]

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

S. Coen, D. A. Wardle, and J. D. Harvey, “Observation of non-phase-matched parametric amplification in resonant nonlinear optics,” Phys. Rev. Lett. 89, 273901 (2002).
[CrossRef]

S. Coen, and M. Haelterman, “Continuous-wave ultrahigh-repetition-rate pulse-train generation through modulational instability in a passive fiber cavity,” Opt. Lett. 26, 39–41 (2001).
[CrossRef]

Dinda, P. T.

T. Sylvestre, H. Maillotte, E. Lantz, and P. T. Dinda, “Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber,” Opt. Lett. 24, 1561–1563 (1999).
[CrossRef]

Fatome, J.

J. Fatome, S. Pitois, and G. Millot, “20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fibers,” IEEE J. Quantum Electron. 42, 1038–1046 (2006).
[CrossRef]

Fragnito, H. L.

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

J. M. Ch’avez Boggio, and H. L. Fragnito, “Simple four-wave-mixing-based method for measuring the ratio between the third- and fourth-order dispersion in optical fibers,” J. Opt. Soc. Am. B 24, 2046–2054 (2007).
[CrossRef]

Gao, S.

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

Gindre, D.

E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, “Phase matching for parametric amplification in a singlemode birefringent fiber: influence of the non-phase-matched waves,” J. Opt. Soc. Am. B 14, 116–125 (1997).
[CrossRef]

Haelterman, M.

S. Coen, and M. Haelterman, “Continuous-wave ultrahigh-repetition-rate pulse-train generation through modulational instability in a passive fiber cavity,” Opt. Lett. 26, 39–41 (2001).
[CrossRef]

Hansryd, J.

J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[CrossRef]

Hart, D. L.

D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, “Dynamical evolution of multiple four-wave-mixing processes in an optical fiber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 57, 4757–4774 (1998).
[CrossRef]

Harvey, J. D.

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

S. Coen, D. A. Wardle, and J. D. Harvey, “Observation of non-phase-matched parametric amplification in resonant nonlinear optics,” Phys. Rev. Lett. 89, 273901 (2002).
[CrossRef]

Hedekvist, P.-O.

J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[CrossRef]

Hernandez-Figueroa, H. E.

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

Hsieh, A. S. Y.

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

Islam, M.

M. Islam, and O. Boyraz, “Fiber parametric amplifiers for wavelength band conversion,” IEEE J. Sel. Top. Quantum Electron. 8, 527–537 (2002).
[CrossRef]

Jain, R. K.

R. K. Jain, and K. Stenersen, “Phase-matched four-photon mixing processes in birefringent fibers,” Appl. Phys. B 35, 49–57 (1984).
[CrossRef]

Jang, Y. S.

Y. S. Jang, and Y. C. Chung, “Four-wave mixing of incoherent light in a dispersion-shifted fiber using a spectrumsliced fiber amplifier light source,” IEEE Photon. Technol. Lett. 10, 218–220 (1998).
[CrossRef]

Jin, G.

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

Judy, A. F.

D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, “Dynamical evolution of multiple four-wave-mixing processes in an optical fiber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 57, 4757–4774 (1998).
[CrossRef]

Kazovsky, L.

M. Marhic, K.-Y. Wong, and L. Kazovsky, “Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers,” IEEE J. Sel. Top. Quantum Electron. 10, 1133–1141 (2004).
[CrossRef]

Kazovsky, L. G.

M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, “Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra,” Opt. Lett. 21, 1354 (1996).
[CrossRef] [PubMed]

Kennedy, T. A. B.

S. Trillo, S. Wabnitz, and T. A. B. Kennedy, “Nonlinear dynamics of dual-frequency-pumped multiwave mixing in optical fibers,” Phys. Rev. A 50, 1732–1747 (1994).
[CrossRef] [PubMed]

Knight, J. C.

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

Lantz, E.

T. Sylvestre, H. Maillotte, E. Lantz, and P. T. Dinda, “Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber,” Opt. Lett. 24, 1561–1563 (1999).
[CrossRef]

E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, “Phase matching for parametric amplification in a singlemode birefringent fiber: influence of the non-phase-matched waves,” J. Opt. Soc. Am. B 14, 116–125 (1997).
[CrossRef]

Leonhardt, R.

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

Li, J.

J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[CrossRef]

Liu, X.

X. Liu, X. Zhou, and C. Lu, “Multiple four-wave mixing self-stability in optical fibers,” Phys. Rev. A 72, 013811 (2005).
[CrossRef]

Lu, C.

X. Liu, X. Zhou, and C. Lu, “Multiple four-wave mixing self-stability in optical fibers,” Phys. Rev. A 72, 013811 (2005).
[CrossRef]

Maillotte, H.

T. Sylvestre, H. Maillotte, E. Lantz, and P. T. Dinda, “Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber,” Opt. Lett. 24, 1561–1563 (1999).
[CrossRef]

E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, “Phase matching for parametric amplification in a singlemode birefringent fiber: influence of the non-phase-matched waves,” J. Opt. Soc. Am. B 14, 116–125 (1997).
[CrossRef]

Marhic, M.

M. Marhic, K.-Y. Wong, and L. Kazovsky, “Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers,” IEEE J. Sel. Top. Quantum Electron. 10, 1133–1141 (2004).
[CrossRef]

Marhic, M. E.

M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, “Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra,” Opt. Lett. 21, 1354 (1996).
[CrossRef] [PubMed]

McKinstrie, C. J.

C. J. McKinstrie, and M. G. Raymer, “Four-wave-mixing cascades near the zero-dispersion frequency,” Opt. Express 14, 9600–9610 (2006).
[CrossRef] [PubMed]

Millot, G.

J. Fatome, S. Pitois, and G. Millot, “20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fibers,” IEEE J. Quantum Electron. 42, 1038–1046 (2006).
[CrossRef]

A. Sauter, S. Pitois, G. Millot, and A. Picozzi, “Incoherent modulation instability in instantaneous nonlinear Kerr media,” Opt. Lett. 30, 2143–2145 (2005).
[CrossRef] [PubMed]

G. Millot, “Multiple four-wave mixing-induced modulational instability in highly birefringent fibers,” Opt. Lett. 26, 1391–1393 (2001).
[CrossRef]

Monneret, J.

E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, “Phase matching for parametric amplification in a singlemode birefringent fiber: influence of the non-phase-matched waves,” J. Opt. Soc. Am. B 14, 116–125 (1997).
[CrossRef]

Murdoch, S. G.

Y. Q. Xu, and S. G. Murdoch, “Gain statistics of a fiber optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 826–829 (2010).
[CrossRef] [PubMed]

Y. Q. Xu, and S. G. Murdoch, “Gain spectrum of an optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 169–171 (2010).
[CrossRef] [PubMed]

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

Park, Y.

M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, “Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra,” Opt. Lett. 21, 1354 (1996).
[CrossRef] [PubMed]

Picozzi, A.

A. Sauter, S. Pitois, G. Millot, and A. Picozzi, “Incoherent modulation instability in instantaneous nonlinear Kerr media,” Opt. Lett. 30, 2143–2145 (2005).
[CrossRef] [PubMed]

Pitois, S.

J. Fatome, S. Pitois, and G. Millot, “20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fibers,” IEEE J. Quantum Electron. 42, 1038–1046 (2006).
[CrossRef]

A. Sauter, S. Pitois, G. Millot, and A. Picozzi, “Incoherent modulation instability in instantaneous nonlinear Kerr media,” Opt. Lett. 30, 2143–2145 (2005).
[CrossRef] [PubMed]

Raymer, M. G.

C. J. McKinstrie, and M. G. Raymer, “Four-wave-mixing cascades near the zero-dispersion frequency,” Opt. Express 14, 9600–9610 (2006).
[CrossRef] [PubMed]

Rieznik, A. A.

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

Roy, R.

D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, “Dynamical evolution of multiple four-wave-mixing processes in an optical fiber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 57, 4757–4774 (1998).
[CrossRef]

J. R. Thompson, and R. Roy, “Nonlinear dynamics of multiple four-wave mixing processes in a single-mode fiber,” Phys. Rev. A 43, 4987–4996 (1991).
[CrossRef] [PubMed]

J. R. Thompson, and R. Roy, “Multiple four-wave mixing process in an optical fiber,” Opt. Lett. 16, 557–559 (1991).
[CrossRef] [PubMed]

Russell, P. St. J.

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

Sauter, A.

A. Sauter, S. Pitois, G. Millot, and A. Picozzi, “Incoherent modulation instability in instantaneous nonlinear Kerr media,” Opt. Lett. 30, 2143–2145 (2005).
[CrossRef] [PubMed]

Schr¨oder, J.

J. Schr¨oder, S. Coen, F. Vanholsbeeck, and T. Sylvestre, “Passively mode-locked Raman fiber laser with 100 GHz repetition rate,” Opt. Lett. 31, 3489–3491 (2006).
[CrossRef] [PubMed]

Snyder, A. W.

Y. Chen, and A. W. Snyder, “Four-photon parametric mixing in optical fibers: effect of pump depletion,” Opt. Lett. 14, 87–89 (1989).
[CrossRef] [PubMed]

Sodre, A. C.

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

Stenersen, K.

R. K. Jain, and K. Stenersen, “Phase-matched four-photon mixing processes in birefringent fibers,” Appl. Phys. B 35, 49–57 (1984).
[CrossRef]

Stolen, R.

R. Stolen, and J. Bjorkholm, “Parametric amplification and frequency conversion in optical fibers,” IEEE J. Quantum Electron. 18, 1062–1072 (1982).
[CrossRef]

Stolen, R. H.

R. H. Stolen, J. E. Bjorkholm, and A. Ashkin, “Phase-matched three-wave mixing in silica fiber optical waveguides,” Appl. Phys. Lett. 24, 308–310 (1974).
[CrossRef]

Sylvestre, T.

J. Schr¨oder, S. Coen, F. Vanholsbeeck, and T. Sylvestre, “Passively mode-locked Raman fiber laser with 100 GHz repetition rate,” Opt. Lett. 31, 3489–3491 (2006).
[CrossRef] [PubMed]

T. Sylvestre, H. Maillotte, E. Lantz, and P. T. Dinda, “Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber,” Opt. Lett. 24, 1561–1563 (1999).
[CrossRef]

Thompson, J. R.

J. R. Thompson, and R. Roy, “Multiple four-wave mixing process in an optical fiber,” Opt. Lett. 16, 557–559 (1991).
[CrossRef] [PubMed]

J. R. Thompson, and R. Roy, “Nonlinear dynamics of multiple four-wave mixing processes in a single-mode fiber,” Phys. Rev. A 43, 4987–4996 (1991).
[CrossRef] [PubMed]

Tian, Y.

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

Trillo, S.

S. Trillo, S. Wabnitz, and T. A. B. Kennedy, “Nonlinear dynamics of dual-frequency-pumped multiwave mixing in optical fibers,” Phys. Rev. A 50, 1732–1747 (1994).
[CrossRef] [PubMed]

G. Cappellini, and S. Trillo, “Third-order three-wave mixing in single-mode fibers: exact solutions and spatial instability effects,” J. Opt. Soc. Am. B 8, 824–838 (1991).
[CrossRef]

Vanholsbeeck, F.

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

J. Schr¨oder, S. Coen, F. Vanholsbeeck, and T. Sylvestre, “Passively mode-locked Raman fiber laser with 100 GHz repetition rate,” Opt. Lett. 31, 3489–3491 (2006).
[CrossRef] [PubMed]

Wabnitz, S.

S. Trillo, S. Wabnitz, and T. A. B. Kennedy, “Nonlinear dynamics of dual-frequency-pumped multiwave mixing in optical fibers,” Phys. Rev. A 50, 1732–1747 (1994).
[CrossRef] [PubMed]

Wadsworth, W. J.

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

Wardle, D. A.

S. Coen, D. A. Wardle, and J. D. Harvey, “Observation of non-phase-matched parametric amplification in resonant nonlinear optics,” Phys. Rev. Lett. 89, 273901 (2002).
[CrossRef]

Westlund, M.

J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[CrossRef]

Wong, G. K. L.

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

Wong, K.-Y.

M. Marhic, K.-Y. Wong, and L. Kazovsky, “Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers,” IEEE J. Sel. Top. Quantum Electron. 10, 1133–1141 (2004).
[CrossRef]

Xiao, X.

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

Xu, Y. Q.

Y. Q. Xu, and S. G. Murdoch, “Gain statistics of a fiber optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 826–829 (2010).
[CrossRef] [PubMed]

Y. Q. Xu, and S. G. Murdoch, “Gain spectrum of an optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 169–171 (2010).
[CrossRef] [PubMed]

Yang, C.

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

Yang, F. S.

M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, “Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra,” Opt. Lett. 21, 1354 (1996).
[CrossRef] [PubMed]

You, Z.

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

Zhou, X.

X. Liu, X. Zhou, and C. Lu, “Multiple four-wave mixing self-stability in optical fibers,” Phys. Rev. A 72, 013811 (2005).
[CrossRef]

Appl. Phys. B

R. K. Jain, and K. Stenersen, “Phase-matched four-photon mixing processes in birefringent fibers,” Appl. Phys. B 35, 49–57 (1984).
[CrossRef]

Appl. Phys. Lett.

R. H. Stolen, J. E. Bjorkholm, and A. Ashkin, “Phase-matched three-wave mixing in silica fiber optical waveguides,” Appl. Phys. Lett. 24, 308–310 (1974).
[CrossRef]

IEEE J. Quantum Electron.

R. Stolen, and J. Bjorkholm, “Parametric amplification and frequency conversion in optical fibers,” IEEE J. Quantum Electron. 18, 1062–1072 (1982).
[CrossRef]

J. Fatome, S. Pitois, and G. Millot, “20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fibers,” IEEE J. Quantum Electron. 42, 1038–1046 (2006).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

J. Hansryd, P. Andrekson, M. Westlund, J. Li, and P.-O. Hedekvist, “Fiber-based optical parametric amplifiers and their applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[CrossRef]

M. Islam, and O. Boyraz, “Fiber parametric amplifiers for wavelength band conversion,” IEEE J. Sel. Top. Quantum Electron. 8, 527–537 (2002).
[CrossRef]

M. Marhic, K.-Y. Wong, and L. Kazovsky, “Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers,” IEEE J. Sel. Top. Quantum Electron. 10, 1133–1141 (2004).
[CrossRef]

IEEE Photon. Technol. Lett.

Y. S. Jang, and Y. C. Chung, “Four-wave mixing of incoherent light in a dispersion-shifted fiber using a spectrumsliced fiber amplifier light source,” IEEE Photon. Technol. Lett. 10, 218–220 (1998).
[CrossRef]

J. Opt. Soc. Am. B

E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, “Phase matching for parametric amplification in a singlemode birefringent fiber: influence of the non-phase-matched waves,” J. Opt. Soc. Am. B 14, 116–125 (1997).
[CrossRef]

J. M. Ch’avez Boggio, and H. L. Fragnito, “Simple four-wave-mixing-based method for measuring the ratio between the third- and fourth-order dispersion in optical fibers,” J. Opt. Soc. Am. B 24, 2046–2054 (2007).
[CrossRef]

G. Cappellini, and S. Trillo, “Third-order three-wave mixing in single-mode fibers: exact solutions and spatial instability effects,” J. Opt. Soc. Am. B 8, 824–838 (1991).
[CrossRef]

Opt. Express

A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of Raman and parametric gain on single-pump parametric amplifiers,” Opt. Express 15, 8104–8114 (2007).
[CrossRef] [PubMed]

A. C. Sodre, J. M. C. Boggio, A. A. Rieznik, H. E. Hernandez-Figueroa, H. L. Fragnito, and J. C. Knight, “Highly efficient generation of broadband cascaded four-wave mixing products,” Opt. Express 16, 2816–2828 (2008).
[CrossRef]

C. J. McKinstrie, and M. G. Raymer, “Four-wave-mixing cascades near the zero-dispersion frequency,” Opt. Express 14, 9600–9610 (2006).
[CrossRef] [PubMed]

S. Gao, C. Yang, X. Xiao, Y. Tian, Z. You, and G. Jin, “Wavelength conversion of spectrum-sliced broadband amplified spontaneous emission light by hybrid four-wave mixing in highly nonlinear, dispersion-shifted fibers,” Opt. Express 14, 2873–2879 (2006).
[CrossRef] [PubMed]

Opt. Lett.

Y. Q. Xu, and S. G. Murdoch, “Gain spectrum of an optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 169–171 (2010).
[CrossRef] [PubMed]

Y. Q. Xu, and S. G. Murdoch, “Gain statistics of a fiber optical parametric amplifier with a temporally incoherent pump,” Opt. Lett. 35, 826–829 (2010).
[CrossRef] [PubMed]

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

T. Sylvestre, H. Maillotte, E. Lantz, and P. T. Dinda, “Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber,” Opt. Lett. 24, 1561–1563 (1999).
[CrossRef]

A. Sauter, S. Pitois, G. Millot, and A. Picozzi, “Incoherent modulation instability in instantaneous nonlinear Kerr media,” Opt. Lett. 30, 2143–2145 (2005).
[CrossRef] [PubMed]

M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, “Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra,” Opt. Lett. 21, 1354 (1996).
[CrossRef] [PubMed]

S. Coen, and M. Haelterman, “Continuous-wave ultrahigh-repetition-rate pulse-train generation through modulational instability in a passive fiber cavity,” Opt. Lett. 26, 39–41 (2001).
[CrossRef]

J. Schr¨oder, S. Coen, F. Vanholsbeeck, and T. Sylvestre, “Passively mode-locked Raman fiber laser with 100 GHz repetition rate,” Opt. Lett. 31, 3489–3491 (2006).
[CrossRef] [PubMed]

G. Millot, “Multiple four-wave mixing-induced modulational instability in highly birefringent fibers,” Opt. Lett. 26, 1391–1393 (2001).
[CrossRef]

Y. Chen, and A. W. Snyder, “Four-photon parametric mixing in optical fibers: effect of pump depletion,” Opt. Lett. 14, 87–89 (1989).
[CrossRef] [PubMed]

J. R. Thompson, and R. Roy, “Multiple four-wave mixing process in an optical fiber,” Opt. Lett. 16, 557–559 (1991).
[CrossRef] [PubMed]

Phys. Rev. A

J. R. Thompson, and R. Roy, “Nonlinear dynamics of multiple four-wave mixing processes in a single-mode fiber,” Phys. Rev. A 43, 4987–4996 (1991).
[CrossRef] [PubMed]

S. Trillo, S. Wabnitz, and T. A. B. Kennedy, “Nonlinear dynamics of dual-frequency-pumped multiwave mixing in optical fibers,” Phys. Rev. A 50, 1732–1747 (1994).
[CrossRef] [PubMed]

X. Liu, X. Zhou, and C. Lu, “Multiple four-wave mixing self-stability in optical fibers,” Phys. Rev. A 72, 013811 (2005).
[CrossRef]

Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics

D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, “Dynamical evolution of multiple four-wave-mixing processes in an optical fiber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 57, 4757–4774 (1998).
[CrossRef]

Phys. Rev. Lett.

S. Coen, D. A. Wardle, and J. D. Harvey, “Observation of non-phase-matched parametric amplification in resonant nonlinear optics,” Phys. Rev. Lett. 89, 273901 (2002).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Experimental setup. RFL: Raman fiber laser, EDFL and EDFA: Erbium-doped fiber laser and amplifier, WDM: wavelength division multiplexer, DSF: dispersion shifted fiber, OSA: optical spectrum analyzer.

Fig. 2
Fig. 2

Output spectra for EDFL wavelengths 1536 to 1554 nm: (a) line plot, (b) color plot.

Fig. 3
Fig. 3

(a), (b) Enlargement of Figs. 2(a) and (b) around the MI region respectively. In (b), the solid and dashed lines correspond to the boundaries of the MI gain band, i.e. solutions of Eqs. (1) and (2) respectively. The dotted vertical and horizontal lines indicate the ZDW.

Fig. 4
Fig. 4

Enlargement of Fig. 2 around the two Stokes waves, S1 (fixed) and S2 (variable). (a) Line plot, (b) color plot. In (b), the theoretical wavelength of S2 calculated from energy conservation considerations (2ωEDFL = ωRFL + ωS2) is superimposed as a black line.

Fig. 5
Fig. 5

(a) Output spectra demonstrating FWM between the RFL and the ASE pump for a constant RFL power of 1 W and ASE powers of 28 dBm (solid) and 33 dBm (dotted). (b) Output spectra for constant ASE pump power of 30 dBm and RFL power of 100 mW (solid) and 900 mW (dotted).

Equations (2)

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

β 2 + β 4 Ω 2 / 12 < 0
| β 2 + β 4 Ω 2 / 12 | Ω 2 < 4 γ P

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