Abstract

This paper presents a comprehensive framework for the analysis of narrowband optical fiber parametric amplifiers. The novel vector model comprises virtually every significant nonlinear contribution, including a full Stimulated Raman Interaction model. We employ the model to calculate the influence of fiber random birefringence, as well as of longitudinal variations of linear and nonlinear propagation parameters on both gain and phase spectra.

© 2008 IEEE

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  1. M. E. Marhic, K. Y. K. Wong, L. G. Kazovsky, "Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers," IEEE. J. Sel. Topics Quantum Electron. 10, 1133-1141 (2004).
  2. D. Dahan, G. Eisenstein, "Tunable all optical delay via slowand fast light propagation in a Raman assisted fiber optical parametric amplifier: A route to all optical buffering," Opt. Express 13, 6234-6249 (2005).
  3. E. Shumakher, A. Willinger, R. Blit, D. Dahan, G. Eisenstein, "Large tunable delay with low distortion of 10 Gbit/s data in a slow light system based on narrow band fiber parametric amplification," Opt. Express 14, 8540-8545 (2006).
  4. E. Shumakher, A. Willinger, R. Blit, D. Dahan, G. Eisenstein, "High resolution extraction of fiber propagation parameters for accurate modeling of slow light systems based on narrow band optical parametric amplification," OFC AnaheimCA (2007) paper OTuC2.
  5. N. Bloembergen, Y. R. Shen, "Coupling between vibrations and light waves in Raman laser media," Phys. Rev. Lett. 12, 504-507 (1964).
  6. F. Vanholsbeeck, P. Emplit, S. Coen, "Complete experimental characterization of the influence of parametric four-wave mixing on stimulated Raman gain," Opt. Lett. 28, 1960-1962 (2003).
  7. R. Stolen, J. P. Gordon, W. J. Tomlinson, H. A. Haus, "Raman response function of silica-core fibers," J. Opt. Soc. Amer. B 6, 1159 (1989).
  8. A. Hsieh, G. Wong, S. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, J. D. Harvey, "Combined effect of Raman and Parametric gain on single-pump parametric amplifiers," Opt. Exp. 15, 8104-8114 (2007).
  9. K. Inoue, "Polarization effect on four-wave mixing efficiency in a single-mode fiber," IEEE J. Quantum Electron. 28, 883-894 (1992).
  10. C. McKinstrie, H. Kogelnik, R. Jopson, S. Radic, A. Kanaev, "Four-wave mixing in fibers with random birefringence," Opt. Express 12, 2033-2055 (2004).
  11. Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on fiber-based parametric amplification and wavelength conversion," Opt. Lett. 29, 1114-1116 (2004).
  12. Q. Lin, G. P. Agrawal, "Vector theory of stimulated Raman scattering and its application to fiber-based Raman amplifiers," J. Opt. Soc. Amer. B 20, 1616-1631 (2003).
  13. A. Galtarossa, L. Palmieri, M. Santagiustina, L. Ursini, "Polarized backward Raman amplification in randomly birefringent fibers," J. Lightw. Technol. 24, 4055-4063 (2006).
  14. J. P. Gordon, H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. USA 97, 4541-4550 (2000).
  15. R. Hellwarth, J. Cherlow, T. Yang, "Origin and frequency dependence of nonlinear optical susceptibilities of glasses," Phys. Rev. B 11, 964-967 (1975).
  16. K. Blow, D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).
  17. D. J. Dougherty, F. X. Kartner, H. A. Haus, E. P. Ippen, "Measurement of the Raman gain spectrum of optical fibers," Opt. Lett. 20, 31-33 (1995).
  18. E. Golovchenko, P. V. Mamyshev, A. N. Pilipetskii, E. M. Dianov, "Mutual influence of the parametric effects and stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 26, 1815-1820 (1990).
  19. E. Golovchenko, A. Pilipetskii, "Unified analysis of four-photon mixing, modulational instability, and stimulated Raman scattering under various polarization conditions in fibers," J. Opt. Soc. Amer. B 11, 92-101 (1994).
  20. M. Karlsson, J. Brentel, "Autocorrelation function of the polarization-mode dispersion vector," Opt. Lett. 24, (1999).
  21. C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, 1990).

2007 (1)

A. Hsieh, G. Wong, S. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, J. D. Harvey, "Combined effect of Raman and Parametric gain on single-pump parametric amplifiers," Opt. Exp. 15, 8104-8114 (2007).

2006 (2)

E. Shumakher, A. Willinger, R. Blit, D. Dahan, G. Eisenstein, "Large tunable delay with low distortion of 10 Gbit/s data in a slow light system based on narrow band fiber parametric amplification," Opt. Express 14, 8540-8545 (2006).

A. Galtarossa, L. Palmieri, M. Santagiustina, L. Ursini, "Polarized backward Raman amplification in randomly birefringent fibers," J. Lightw. Technol. 24, 4055-4063 (2006).

2005 (1)

2004 (3)

C. McKinstrie, H. Kogelnik, R. Jopson, S. Radic, A. Kanaev, "Four-wave mixing in fibers with random birefringence," Opt. Express 12, 2033-2055 (2004).

M. E. Marhic, K. Y. K. Wong, L. G. Kazovsky, "Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers," IEEE. J. Sel. Topics Quantum Electron. 10, 1133-1141 (2004).

Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on fiber-based parametric amplification and wavelength conversion," Opt. Lett. 29, 1114-1116 (2004).

2003 (2)

Q. Lin, G. P. Agrawal, "Vector theory of stimulated Raman scattering and its application to fiber-based Raman amplifiers," J. Opt. Soc. Amer. B 20, 1616-1631 (2003).

F. Vanholsbeeck, P. Emplit, S. Coen, "Complete experimental characterization of the influence of parametric four-wave mixing on stimulated Raman gain," Opt. Lett. 28, 1960-1962 (2003).

2000 (1)

J. P. Gordon, H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. USA 97, 4541-4550 (2000).

1999 (1)

M. Karlsson, J. Brentel, "Autocorrelation function of the polarization-mode dispersion vector," Opt. Lett. 24, (1999).

1995 (1)

1994 (1)

E. Golovchenko, A. Pilipetskii, "Unified analysis of four-photon mixing, modulational instability, and stimulated Raman scattering under various polarization conditions in fibers," J. Opt. Soc. Amer. B 11, 92-101 (1994).

1992 (1)

K. Inoue, "Polarization effect on four-wave mixing efficiency in a single-mode fiber," IEEE J. Quantum Electron. 28, 883-894 (1992).

1990 (1)

E. Golovchenko, P. V. Mamyshev, A. N. Pilipetskii, E. M. Dianov, "Mutual influence of the parametric effects and stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 26, 1815-1820 (1990).

1989 (2)

K. Blow, D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).

R. Stolen, J. P. Gordon, W. J. Tomlinson, H. A. Haus, "Raman response function of silica-core fibers," J. Opt. Soc. Amer. B 6, 1159 (1989).

1975 (1)

R. Hellwarth, J. Cherlow, T. Yang, "Origin and frequency dependence of nonlinear optical susceptibilities of glasses," Phys. Rev. B 11, 964-967 (1975).

1964 (1)

N. Bloembergen, Y. R. Shen, "Coupling between vibrations and light waves in Raman laser media," Phys. Rev. Lett. 12, 504-507 (1964).

IEEE J. Quantum Electron. (1)

E. Golovchenko, P. V. Mamyshev, A. N. Pilipetskii, E. M. Dianov, "Mutual influence of the parametric effects and stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 26, 1815-1820 (1990).

IEEE J. Quantum Electron. (2)

K. Blow, D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).

K. Inoue, "Polarization effect on four-wave mixing efficiency in a single-mode fiber," IEEE J. Quantum Electron. 28, 883-894 (1992).

IEEE. J. Sel. Topics Quantum Electron. (1)

M. E. Marhic, K. Y. K. Wong, L. G. Kazovsky, "Wide-band tuning of the gain spectra of one-pump fiber optical parametric amplifiers," IEEE. J. Sel. Topics Quantum Electron. 10, 1133-1141 (2004).

J. Lightw. Technol. (1)

A. Galtarossa, L. Palmieri, M. Santagiustina, L. Ursini, "Polarized backward Raman amplification in randomly birefringent fibers," J. Lightw. Technol. 24, 4055-4063 (2006).

J. Opt. Soc. Amer. B (1)

Q. Lin, G. P. Agrawal, "Vector theory of stimulated Raman scattering and its application to fiber-based Raman amplifiers," J. Opt. Soc. Amer. B 20, 1616-1631 (2003).

J. Opt. Soc. Amer. B (2)

R. Stolen, J. P. Gordon, W. J. Tomlinson, H. A. Haus, "Raman response function of silica-core fibers," J. Opt. Soc. Amer. B 6, 1159 (1989).

E. Golovchenko, A. Pilipetskii, "Unified analysis of four-photon mixing, modulational instability, and stimulated Raman scattering under various polarization conditions in fibers," J. Opt. Soc. Amer. B 11, 92-101 (1994).

Opt. Exp. (1)

A. Hsieh, G. Wong, S. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, J. D. Harvey, "Combined effect of Raman and Parametric gain on single-pump parametric amplifiers," Opt. Exp. 15, 8104-8114 (2007).

Opt. Express (1)

E. Shumakher, A. Willinger, R. Blit, D. Dahan, G. Eisenstein, "Large tunable delay with low distortion of 10 Gbit/s data in a slow light system based on narrow band fiber parametric amplification," Opt. Express 14, 8540-8545 (2006).

Opt. Lett. (1)

Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on fiber-based parametric amplification and wavelength conversion," Opt. Lett. 29, 1114-1116 (2004).

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. B (1)

R. Hellwarth, J. Cherlow, T. Yang, "Origin and frequency dependence of nonlinear optical susceptibilities of glasses," Phys. Rev. B 11, 964-967 (1975).

Phys. Rev. Lett. (1)

N. Bloembergen, Y. R. Shen, "Coupling between vibrations and light waves in Raman laser media," Phys. Rev. Lett. 12, 504-507 (1964).

Proc. Nat. Acad. Sci. USA (1)

J. P. Gordon, H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. USA 97, 4541-4550 (2000).

Other (2)

C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, 1990).

E. Shumakher, A. Willinger, R. Blit, D. Dahan, G. Eisenstein, "High resolution extraction of fiber propagation parameters for accurate modeling of slow light systems based on narrow band optical parametric amplification," OFC AnaheimCA (2007) paper OTuC2.

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