Abstract

Narrowband fiber parametric amplification is known to provide slow and fast light capabilities. Here, an analytical expression of the maximum slow light time delay achievable in ideal, isotropic fibers is derived. Then, the effects of random birefringence on the slow and fast light ability are numerically investigated by integrating the governing equations over a large number of statistical realizations of the fiber. The different polarization rotation along the fiber for the signal, the idler, and the pump reduces the amplifier mean gain and the mean time delay. For small random birefringence, the decrease of the mean delay can be directly imputed to the reduction of the mean gain. For large random birefringence, severe pulse distortion occurs, the mean delay is further reduced and the delay uncertainty highly enhanced. The influence of the stimulated Raman scattering is finally addressed.

© 2008 IEEE

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  1. M. Marhic, K.-Y. Wong, L. 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 slow and fast light propagation in a Raman assisted fiber optical parametric amplifier: A route to all optical buffering," Opt. Exp. 13, 6234-6249 (2005).
  3. E. Shumakher, A. Willinger, R. Blit, D. Dahan, G. Eisenstein, "Low distortion propagation of high bit rate data streams in a slow light system based on narrow band Raman assisted parametric amplification in optical fibers," Tech. Digest Slow and Fast Light Topical Meeting (Paper Wb5) (2006).
  4. 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. Exp. 14, 8540-8545 (2006).
  5. G. Eisenstein, A. Willinger, E. Shumakher, "The effect of polarization mode dispersion on gain and delay spectra of Raman assisted narrow band fiber parametric amplifiers," Proc. 33rd Eur. Conf. Exhibition on Opt. Commun. (2007).
  6. A. Willinger, E. Shumakher, G. Eisenstein, "On the role of polarization and Raman assisted phase matching in narrow band fiber parametric amplifiers," J. Lightwave Technol. .
  7. E. Bettini, A. Galtarossa, L. Palmieri, M. Santagiustina, L. Schenato, C. Someda, "Optical parametric amplification for slow light in random birefringence fibers," Proc. Photonics in Switching (2007) pp. 47-48.
  8. L. Schenato, M. Santagiustina, C. G. Someda, "Narrow band optical parametric amplification for slow light in randomly birefringent fibers," Tech. Digest Optical Fiber Conf.'08 (2008).
  9. E. Shumakher, A. Willinger, G. Eisenstein, "Fundamental limits and recent advances in slow and fast light systems based on optical parametric processes in fibers," Proc. 9th Int. Conf. Transparent Optical Networks ICTON'07 (2007) pp. 262-265.
  10. Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on fiber-based parametric amplification and wavelength conversion," Opt. Lett. 29, 114-116 (2004).
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  13. M. E. Marhic, N. Kagi, T.-K. Chiang, L. G. Kazovsky, "Broadband fiber optical parametric amplifiers," Opt. Lett. 21, 573 (1996).
  14. Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on cross-phase modulation in dispersion-managed wavelength division multiplexed systems," J. Lightwave Technol. 22, 977-987 (2004).
  15. A. Galtarossa, C. R. Menyuk, Polarization Mode Dispersion (Springer, 2005).
  16. R. L. Smith, "The velocities of light," Amer. J. Phys. 38, 978-984 (1970).
  17. A. S. Y. Hsieh, G. K. L. Wong, S. Murdoch, S. G. Coen, F. Vanhols-beeck, R. Leonhardt, J. D. Harvey, "Combined effect of Raman and parametric gain on single-pump parametric amplifiers," Opt. Exp. 15, 8104-8114 (2007).
  18. M.-C. Ho, K. Uesaka, M. Marhic, Y. Akasaka, L. Kazovsky, "200-nm-bandwidth fiber optical amplifier combining parametric and raman gain," J. Lightwave Technol 19, 977-981 (2001).

2007 (1)

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

2006 (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. Exp. 14, 8540-8545 (2006).

2005 (1)

D. Dahan, G. Eisenstein, "Tunable all optical delay via slow and fast light propagation in a Raman assisted fiber optical parametric amplifier: A route to all optical buffering," Opt. Exp. 13, 6234-6249 (2005).

2004 (3)

M. Marhic, K.-Y. Wong, L. 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, 114-116 (2004).

Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on cross-phase modulation in dispersion-managed wavelength division multiplexed systems," J. Lightwave Technol. 22, 977-987 (2004).

2001 (1)

M.-C. Ho, K. Uesaka, M. Marhic, Y. Akasaka, L. Kazovsky, "200-nm-bandwidth fiber optical amplifier combining parametric and raman gain," J. Lightwave Technol 19, 977-981 (2001).

1996 (1)

1992 (1)

S. Trillo, S. Wabnitz, "Parametric and Raman amplification in birefringent fibers," J. Opt. Soc. Amer. B. 9, 1061-1082 (1992).

1982 (1)

R. Stolen, J. Bjorkholm, "Parametric amplification and frequency conversion in optical fibers," IEEE J. Quantum Electron. QE-18, 1062-1072 (1982).

1970 (1)

R. L. Smith, "The velocities of light," Amer. J. Phys. 38, 978-984 (1970).

Amer. J. Phys. (1)

R. L. Smith, "The velocities of light," Amer. J. Phys. 38, 978-984 (1970).

IEEE J. Quantum Electron. (1)

R. Stolen, J. Bjorkholm, "Parametric amplification and frequency conversion in optical fibers," IEEE J. Quantum Electron. QE-18, 1062-1072 (1982).

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

M. Marhic, K.-Y. Wong, L. 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. Lightwave Technol (1)

M.-C. Ho, K. Uesaka, M. Marhic, Y. Akasaka, L. Kazovsky, "200-nm-bandwidth fiber optical amplifier combining parametric and raman gain," J. Lightwave Technol 19, 977-981 (2001).

J. Lightwave Technol. (2)

A. Willinger, E. Shumakher, G. Eisenstein, "On the role of polarization and Raman assisted phase matching in narrow band fiber parametric amplifiers," J. Lightwave Technol. .

Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on cross-phase modulation in dispersion-managed wavelength division multiplexed systems," J. Lightwave Technol. 22, 977-987 (2004).

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

S. Trillo, S. Wabnitz, "Parametric and Raman amplification in birefringent fibers," J. Opt. Soc. Amer. B. 9, 1061-1082 (1992).

Opt. Exp. (2)

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

D. Dahan, G. Eisenstein, "Tunable all optical delay via slow and fast light propagation in a Raman assisted fiber optical parametric amplifier: A route to all optical buffering," Opt. Exp. 13, 6234-6249 (2005).

Opt. Exp. (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. Exp. 14, 8540-8545 (2006).

Opt. Lett. (2)

Q. Lin, G. P. Agrawal, "Effects of polarization-mode dispersion on fiber-based parametric amplification and wavelength conversion," Opt. Lett. 29, 114-116 (2004).

M. E. Marhic, N. Kagi, T.-K. Chiang, L. G. Kazovsky, "Broadband fiber optical parametric amplifiers," Opt. Lett. 21, 573 (1996).

Other (6)

A. Galtarossa, C. R. Menyuk, Polarization Mode Dispersion (Springer, 2005).

G. Eisenstein, A. Willinger, E. Shumakher, "The effect of polarization mode dispersion on gain and delay spectra of Raman assisted narrow band fiber parametric amplifiers," Proc. 33rd Eur. Conf. Exhibition on Opt. Commun. (2007).

E. Shumakher, A. Willinger, R. Blit, D. Dahan, G. Eisenstein, "Low distortion propagation of high bit rate data streams in a slow light system based on narrow band Raman assisted parametric amplification in optical fibers," Tech. Digest Slow and Fast Light Topical Meeting (Paper Wb5) (2006).

E. Bettini, A. Galtarossa, L. Palmieri, M. Santagiustina, L. Schenato, C. Someda, "Optical parametric amplification for slow light in random birefringence fibers," Proc. Photonics in Switching (2007) pp. 47-48.

L. Schenato, M. Santagiustina, C. G. Someda, "Narrow band optical parametric amplification for slow light in randomly birefringent fibers," Tech. Digest Optical Fiber Conf.'08 (2008).

E. Shumakher, A. Willinger, G. Eisenstein, "Fundamental limits and recent advances in slow and fast light systems based on optical parametric processes in fibers," Proc. 9th Int. Conf. Transparent Optical Networks ICTON'07 (2007) pp. 262-265.

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