Abstract

A theoretical model for quantifying the pulse distortion introduced by the stimulated-Brillouin-scattering (SBS)-induced (equivalent) dispersion in a linear Brillouin slow-light system is presented. Based on this model, a linear Brillouin slow-light system employing fast-light propagation for dispersion compensation is analyzed. The results show that the elimination of gain-nonuniformity-induced equivalent group-velocity dispersion can be achieved with the sacrifice of introducing much larger high-order (equivalent) dispersion effects. It is also shown that the simultaneous cancellation of gain-nonuniformity-induced equivalent group-velocity dispersion and third-order dispersion as presented in a recent article is impossible.

© 2012 Optical Society of America

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  1. A. E. Willner, B. Zhang, L. Zhang, L. S. Yan, and I. Fazal, “Optical signal processing using tunable delay elements based on slow light,” IEEE J. Sel. Top. Quantum Electron. 14, 691–705 (2008).
    [Crossref]
  2. N. Matsuda, T. Kato, K. Harada, H. Takesue, E. Kuramochi, H. Taniyama, and M. Notomi, “Slow light enhanced optical nonlinearity in a silicon photonic crystal coupled-resonator optical waveguide,” Opt. Express 19, 19861–19874 (2011).
    [Crossref]
  3. A. Zadok, O. Raz, A. Eyal, and M. Tur, “Optically controlled low-distortion delay of GHz-wide radio-frequency signals using slow light in fibers,” IEEE Photon. Technol. Lett. 19, 462–464 (2007).
    [Crossref]
  4. J. B. Khurgin and R. S. Tucker, Slow Light: Science and Applications. (CRC, 2009).
  5. K. Y. Song, M. G. Herráez, and L. Thévenaz, “Observation of pulse delaying and advancement in optical fibers using stimulated Brillouin scattering,” Opt. Express 13, 82–88 (2005).
    [Crossref]
  6. Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
    [Crossref]
  7. A. Zadok, A. Eyal, and M. Yur, “Stimulated Brillouin scattering slow light in optical fibers,” Appl. Opt. 50, E38–E49 (2011).
    [Crossref]
  8. M. G. Herráez, K. Y. Song, and L. Thévenaz, “Arbitrary-bandwidth Brillouin slow light in optical fibers,” Opt. Express 14, 1395–1400 (2006).
    [Crossref]
  9. R. Pant, M. D. Stenner, M. A. Neifeld, and D. J. Gauthier, “Optimal pump profile designs for broadband SBS slow-light systems,” Opt. Express 16, 2764–2777 (2008).
    [Crossref]
  10. M. D. Stenner, M. A. Neifeld, Z. M. Zhu, A. M. C. Dawes, and D. J. Gauthier, “Distortion management in slow-light pulse delay,” Opt. Express 13, 9995–10002 (2005).
    [Crossref]
  11. T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, “Distortion reduction in cascaded slow light delays,” Electron. Lett. 42, 1110–1111 (2006).
    [Crossref]
  12. A. Minardo, R. Bernini, and Luigi Zeni, “Low distortion Brillouin slow light in optical fibers using AM modulation,” Opt. Express 14, 5866–5876 (2006).
    [Crossref]
  13. T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, “Distortion reduction in slow light systems based on stimulated Brillouin scattering,” Opt. Express 16, 8280–8285 (2008).
    [Crossref]
  14. T. Sakamoto, T. Yamamoto, K. Shiraki, and T. Kurashima, “Low distortion slow light in flat Brillouin gain spectrum by using optical frequency comb,” Opt. Express 16, 8026–8032 (2008).
    [Crossref]
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    [Crossref]
  16. T. Schneider, A. Wiatreck, and R. Henker, “Zero-broadening and pulse compression slow light in an optical fiber at high pulse delays,” Opt. Express 16, 15617–15622 (2008).
    [Crossref]
  17. S. H. Wang, L. Y. Ren, Y. Liu, and Y. Tomita, “Zero-broadening SBS slow light propagation in an optical fiber using two broadband pump beams,” Opt. Express 16, 8067–8076 (2008).
    [Crossref]
  18. A. Wiatrek, R. Henker, S. Preußler, and T. Schneider, “Pulse broadening cancellation in cascaded slow-light delays,” Opt. Express 17, 7586–7591 (2009).
    [Crossref]
  19. A. Wiatrek, R. Henker, S. Preußler, M. J. Ammann, A. T. Schwarzbacher, and T. Schneider, “Zero-broadening measurement in Brillouin based slow-light delays,” Opt. Express 17, 797–802 (2009).
    [Crossref]
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    [Crossref]
  21. S. Chin, M. G. Herraez, and L. Thévenaz, “Complete compensation of pulse broadening in an amplifier-based slow light system using a nonlinear regeneration element,” Opt. Express 17, 21910–21917 (2009).
    [Crossref]
  22. Y. Wu, L. Zhan, Y. Wang, S. Luo, and Y. Xia, “Low distortion pulse delay using SBS slow- and fast-light propagation in cascaded optical fibers,” J. Opt. Soc. Am. B 28, 2605–2610 (2011).
    [Crossref]
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    [Crossref]
  25. K. Y. Song and K. Hotate, “25 GHz bandwidth Brillouin slow light in optical fibers,” Opt. Lett. 32, 217–219 (2007).
    [Crossref]
  26. L. L. Yi, Y. Jaouën, W. S. Hu, Y. K. Su, and S. Bigo, “Improved slow-light performance of 10  Gb/s NRZ, PSBT and DPSK signals in fiber broadband SBS,” Opt. Express 15, 16972–16979 (2007).
    [Crossref]
  27. B. Zhang, L. S. Yan, J. Y. Yang, I. Fazal, and A. E. Willner, “A single slow-light element for independent delay control and synchronization on multiple Gb/s data channels,” IEEE Photon. Technol. Lett. 19, 1081–1083 (2007).
    [Crossref]
  28. B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
    [Crossref]
  29. Z. M. Zhu, A. M. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “12-GHz-bandwidth SBS slow light in optical fibers,” in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP1.
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    [Crossref]
  32. M. G. Herraez and L. Thévenaz, “Physical limits to broadening compensation in a linear slow light system,” Opt. Express 17, 4732–4739 (2009).
    [Crossref]

2011 (3)

2010 (1)

2009 (5)

2008 (7)

2007 (6)

2006 (3)

2005 (3)

Abramowitz, M.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1974, Chapter 7).

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics4th ed. (Academic Press, 2007).

Ammann, M. J.

Bernini, R.

Bigelow, M. S.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Bigo, S.

Boyd, R. W.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Chin, S.

Dawes, A. M.

Z. M. Zhu, A. M. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “12-GHz-bandwidth SBS slow light in optical fibers,” in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP1.

Dawes, A. M. C.

Eyal, A.

A. Zadok, A. Eyal, and M. Yur, “Stimulated Brillouin scattering slow light in optical fibers,” Appl. Opt. 50, E38–E49 (2011).
[Crossref]

A. Zadok, O. Raz, A. Eyal, and M. Tur, “Optically controlled low-distortion delay of GHz-wide radio-frequency signals using slow light in fibers,” IEEE Photon. Technol. Lett. 19, 462–464 (2007).
[Crossref]

Fazal, I.

A. E. Willner, B. Zhang, L. Zhang, L. S. Yan, and I. Fazal, “Optical signal processing using tunable delay elements based on slow light,” IEEE J. Sel. Top. Quantum Electron. 14, 691–705 (2008).
[Crossref]

B. Zhang, L. S. Yan, J. Y. Yang, I. Fazal, and A. E. Willner, “A single slow-light element for independent delay control and synchronization on multiple Gb/s data channels,” IEEE Photon. Technol. Lett. 19, 1081–1083 (2007).
[Crossref]

B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
[Crossref]

Gaeta, A. L.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Gauthier, D. J.

R. Pant, M. D. Stenner, M. A. Neifeld, and D. J. Gauthier, “Optimal pump profile designs for broadband SBS slow-light systems,” Opt. Express 16, 2764–2777 (2008).
[Crossref]

Z. M. Zhu, A. M. C. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “Broadband SBS slow light in an optical fiber,” J. Lightwave Technol. 25, 201–206 (2007).
[Crossref]

M. D. Stenner, M. A. Neifeld, Z. M. Zhu, A. M. C. Dawes, and D. J. Gauthier, “Distortion management in slow-light pulse delay,” Opt. Express 13, 9995–10002 (2005).
[Crossref]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Z. M. Zhu, A. M. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “12-GHz-bandwidth SBS slow light in optical fibers,” in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP1.

Harada, K.

Henker, R.

Herraez, M. G.

Herráez, M. G.

Hotate, K.

Hu, W. S.

Jamshidi, K.

Jaouën, Y.

Junker, M.

T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, “Distortion reduction in slow light systems based on stimulated Brillouin scattering,” Opt. Express 16, 8280–8285 (2008).
[Crossref]

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, “Distortion reduction in cascaded slow light delays,” Electron. Lett. 42, 1110–1111 (2006).
[Crossref]

Kato, T.

Khurgin, J. B.

J. B. Khurgin and R. S. Tucker, Slow Light: Science and Applications. (CRC, 2009).

Kuramochi, E.

Kurashima, T.

Lauterbach, K. U.

T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, “Distortion reduction in slow light systems based on stimulated Brillouin scattering,” Opt. Express 16, 8280–8285 (2008).
[Crossref]

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, “Distortion reduction in cascaded slow light delays,” Electron. Lett. 42, 1110–1111 (2006).
[Crossref]

Liang, R.

Liu, Y.

Luo, S.

Matsuda, N.

Minardo, A.

Neifeld, M. A.

Notomi, M.

Okawachi, Y.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Pant, R.

Preußler, S.

Raz, O.

A. Zadok, O. Raz, A. Eyal, and M. Tur, “Optically controlled low-distortion delay of GHz-wide radio-frequency signals using slow light in fibers,” IEEE Photon. Technol. Lett. 19, 462–464 (2007).
[Crossref]

Ren, L. Y.

Sakamoto, T.

Schneider, T.

Schwarzbacher, A. T.

Schweinsberg, A.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Sharping, J. E.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Shi, S. H.

Shiraki, K.

Song, K. Y.

Stegun, I. A.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1974, Chapter 7).

Stenner, M. D.

Su, Y. K.

Takesue, H.

Taniyama, H.

Thévenaz, L.

Tomita, Y.

Tucker, R. S.

J. B. Khurgin and R. S. Tucker, Slow Light: Science and Applications. (CRC, 2009).

Tur, M.

A. Zadok, O. Raz, A. Eyal, and M. Tur, “Optically controlled low-distortion delay of GHz-wide radio-frequency signals using slow light in fibers,” IEEE Photon. Technol. Lett. 19, 462–464 (2007).
[Crossref]

Wang, S. H.

Wang, Y.

Wiatreck, A.

Wiatrek, A.

Willner, A. E.

A. E. Willner, B. Zhang, L. Zhang, L. S. Yan, and I. Fazal, “Optical signal processing using tunable delay elements based on slow light,” IEEE J. Sel. Top. Quantum Electron. 14, 691–705 (2008).
[Crossref]

B. Zhang, L. S. Yan, J. Y. Yang, I. Fazal, and A. E. Willner, “A single slow-light element for independent delay control and synchronization on multiple Gb/s data channels,” IEEE Photon. Technol. Lett. 19, 1081–1083 (2007).
[Crossref]

Z. M. Zhu, A. M. C. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “Broadband SBS slow light in an optical fiber,” J. Lightwave Technol. 25, 201–206 (2007).
[Crossref]

B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
[Crossref]

Z. M. Zhu, A. M. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “12-GHz-bandwidth SBS slow light in optical fibers,” in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP1.

Wu, Y.

Xia, Y.

Yamamoto, T.

Yan, L. S.

A. E. Willner, B. Zhang, L. Zhang, L. S. Yan, and I. Fazal, “Optical signal processing using tunable delay elements based on slow light,” IEEE J. Sel. Top. Quantum Electron. 14, 691–705 (2008).
[Crossref]

B. Zhang, L. S. Yan, J. Y. Yang, I. Fazal, and A. E. Willner, “A single slow-light element for independent delay control and synchronization on multiple Gb/s data channels,” IEEE Photon. Technol. Lett. 19, 1081–1083 (2007).
[Crossref]

B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
[Crossref]

Yang, J. Y.

B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
[Crossref]

B. Zhang, L. S. Yan, J. Y. Yang, I. Fazal, and A. E. Willner, “A single slow-light element for independent delay control and synchronization on multiple Gb/s data channels,” IEEE Photon. Technol. Lett. 19, 1081–1083 (2007).
[Crossref]

Yi, L. L.

Yur, M.

Zadok, A.

A. Zadok, A. Eyal, and M. Yur, “Stimulated Brillouin scattering slow light in optical fibers,” Appl. Opt. 50, E38–E49 (2011).
[Crossref]

A. Zadok, O. Raz, A. Eyal, and M. Tur, “Optically controlled low-distortion delay of GHz-wide radio-frequency signals using slow light in fibers,” IEEE Photon. Technol. Lett. 19, 462–464 (2007).
[Crossref]

Zeni, Luigi

Zhan, L.

Zhang, B.

A. E. Willner, B. Zhang, L. Zhang, L. S. Yan, and I. Fazal, “Optical signal processing using tunable delay elements based on slow light,” IEEE J. Sel. Top. Quantum Electron. 14, 691–705 (2008).
[Crossref]

B. Zhang, L. S. Yan, J. Y. Yang, I. Fazal, and A. E. Willner, “A single slow-light element for independent delay control and synchronization on multiple Gb/s data channels,” IEEE Photon. Technol. Lett. 19, 1081–1083 (2007).
[Crossref]

B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
[Crossref]

Zhang, L.

A. E. Willner, B. Zhang, L. Zhang, L. S. Yan, and I. Fazal, “Optical signal processing using tunable delay elements based on slow light,” IEEE J. Sel. Top. Quantum Electron. 14, 691–705 (2008).
[Crossref]

B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
[Crossref]

Z. M. Zhu, A. M. C. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “Broadband SBS slow light in an optical fiber,” J. Lightwave Technol. 25, 201–206 (2007).
[Crossref]

Z. M. Zhu, A. M. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “12-GHz-bandwidth SBS slow light in optical fibers,” in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP1.

Zhang, Z. Y.

Zhou, X. J.

Zhu, Z. M.

Z. M. Zhu, A. M. C. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “Broadband SBS slow light in an optical fiber,” J. Lightwave Technol. 25, 201–206 (2007).
[Crossref]

M. D. Stenner, M. A. Neifeld, Z. M. Zhu, A. M. C. Dawes, and D. J. Gauthier, “Distortion management in slow-light pulse delay,” Opt. Express 13, 9995–10002 (2005).
[Crossref]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Z. M. Zhu, A. M. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “12-GHz-bandwidth SBS slow light in optical fibers,” in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP1.

Appl. Opt. (1)

Electron. Lett. (1)

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, “Distortion reduction in cascaded slow light delays,” Electron. Lett. 42, 1110–1111 (2006).
[Crossref]

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

A. E. Willner, B. Zhang, L. Zhang, L. S. Yan, and I. Fazal, “Optical signal processing using tunable delay elements based on slow light,” IEEE J. Sel. Top. Quantum Electron. 14, 691–705 (2008).
[Crossref]

IEEE Photon. Technol. Lett. (2)

A. Zadok, O. Raz, A. Eyal, and M. Tur, “Optically controlled low-distortion delay of GHz-wide radio-frequency signals using slow light in fibers,” IEEE Photon. Technol. Lett. 19, 462–464 (2007).
[Crossref]

B. Zhang, L. S. Yan, J. Y. Yang, I. Fazal, and A. E. Willner, “A single slow-light element for independent delay control and synchronization on multiple Gb/s data channels,” IEEE Photon. Technol. Lett. 19, 1081–1083 (2007).
[Crossref]

J. Lightwave Technol. (1)

J. Opt. Soc. Am. B (4)

Opt. Express (16)

T. Schneider, A. Wiatreck, and R. Henker, “Zero-broadening and pulse compression slow light in an optical fiber at high pulse delays,” Opt. Express 16, 15617–15622 (2008).
[Crossref]

S. H. Wang, L. Y. Ren, Y. Liu, and Y. Tomita, “Zero-broadening SBS slow light propagation in an optical fiber using two broadband pump beams,” Opt. Express 16, 8067–8076 (2008).
[Crossref]

A. Wiatrek, R. Henker, S. Preußler, and T. Schneider, “Pulse broadening cancellation in cascaded slow-light delays,” Opt. Express 17, 7586–7591 (2009).
[Crossref]

A. Wiatrek, R. Henker, S. Preußler, M. J. Ammann, A. T. Schwarzbacher, and T. Schneider, “Zero-broadening measurement in Brillouin based slow-light delays,” Opt. Express 17, 797–802 (2009).
[Crossref]

A. Minardo, R. Bernini, and Luigi Zeni, “Low distortion Brillouin slow light in optical fibers using AM modulation,” Opt. Express 14, 5866–5876 (2006).
[Crossref]

T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, “Distortion reduction in slow light systems based on stimulated Brillouin scattering,” Opt. Express 16, 8280–8285 (2008).
[Crossref]

T. Sakamoto, T. Yamamoto, K. Shiraki, and T. Kurashima, “Low distortion slow light in flat Brillouin gain spectrum by using optical frequency comb,” Opt. Express 16, 8026–8032 (2008).
[Crossref]

N. Matsuda, T. Kato, K. Harada, H. Takesue, E. Kuramochi, H. Taniyama, and M. Notomi, “Slow light enhanced optical nonlinearity in a silicon photonic crystal coupled-resonator optical waveguide,” Opt. Express 19, 19861–19874 (2011).
[Crossref]

M. G. Herráez, K. Y. Song, and L. Thévenaz, “Arbitrary-bandwidth Brillouin slow light in optical fibers,” Opt. Express 14, 1395–1400 (2006).
[Crossref]

R. Pant, M. D. Stenner, M. A. Neifeld, and D. J. Gauthier, “Optimal pump profile designs for broadband SBS slow-light systems,” Opt. Express 16, 2764–2777 (2008).
[Crossref]

M. D. Stenner, M. A. Neifeld, Z. M. Zhu, A. M. C. Dawes, and D. J. Gauthier, “Distortion management in slow-light pulse delay,” Opt. Express 13, 9995–10002 (2005).
[Crossref]

M. G. Herraez and L. Thévenaz, “Physical limits to broadening compensation in a linear slow light system,” Opt. Express 17, 4732–4739 (2009).
[Crossref]

L. L. Yi, Y. Jaouën, W. S. Hu, Y. K. Su, and S. Bigo, “Improved slow-light performance of 10  Gb/s NRZ, PSBT and DPSK signals in fiber broadband SBS,” Opt. Express 15, 16972–16979 (2007).
[Crossref]

B. Zhang, L. Zhang, L. S. Yan, I. Fazal, J. Y. Yang, and A. E. Willner, “Continuously-tunable, bit-rate variable OTDM using broadband SBS slow-light delay line,” Opt. Express 15, 8317–8322 (2007).
[Crossref]

S. Chin, M. G. Herraez, and L. Thévenaz, “Complete compensation of pulse broadening in an amplifier-based slow light system using a nonlinear regeneration element,” Opt. Express 17, 21910–21917 (2009).
[Crossref]

K. Y. Song, M. G. Herráez, and L. Thévenaz, “Observation of pulse delaying and advancement in optical fibers using stimulated Brillouin scattering,” Opt. Express 13, 82–88 (2005).
[Crossref]

Opt. Lett. (1)

Phys. Rev. Lett. (1)

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. M. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[Crossref]

Other (4)

G. P. Agrawal, Nonlinear Fiber Optics4th ed. (Academic Press, 2007).

Z. M. Zhu, A. M. Dawes, D. J. Gauthier, L. Zhang, and A. E. Willner, “12-GHz-bandwidth SBS slow light in optical fibers,” in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP1.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1974, Chapter 7).

J. B. Khurgin and R. S. Tucker, Slow Light: Science and Applications. (CRC, 2009).

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Figures (2)

Fig. 1.
Fig. 1.

Configuration of a linear Brillouin slow-light system employing SBS slow- and fast-light propagation in cascaded optical fibers; (a) experimental configuration, (b) spectral configuration in the slow-light and fast-light stages.

Fig. 2.
Fig. 2.

Calculated normalized (equivalent) dispersion length for (a) a linear Brillouin slow-light system employing SBS slow- and fast-light propagation in cascaded optical fibers, (b) a linear Brillouin slow-light system without dispersion compensation by fast-light propagation.

Equations (25)

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H ( ω ) = exp [ α L 2 + g ( ω ) + i p ( ω ) ] ,
g ( ω ) = ± g 0 L eff 2 + I p ( ω ) 1 + 4 ( ω ω ± ω B ) 2 Γ B 2 d ω
p ( ω ) = ± g 0 L eff 2 + I p ( ω ) 2 ( ω ω ± ω B ) Γ B 1 + 4 ( ω ω ± ω B ) 2 Γ B 2 d ω
H ( Δ ω ) = exp [ α L 2 ± G ± i β 1 Δ ω L ± i m 2 β m m ! Δ ω m L ] ,
β m = { j m ! L d m g ( ω ) d ω m | ω = ω 0 m is even, m ! L d m p ( ω ) d ω m | ω = ω 0 m is odd .
L m = t 0 m | β m | L ( m 2 ) ,
I p n ( ω ) = 2 I n π ξ n exp [ 4 ( ω ω p n ) 2 ξ n 2 ] ,
g ( ω ) + i p ( ω ) = ± π G n Γ B 2 ξ n exp [ ( 2 Δ ω ξ n + i Γ B ξ n ) 2 ] erfc ( Γ B ξ n i 2 Δ ω ξ n ) ,
G = ± G n Γ B π erfc ( Γ B ξ n ) exp ( Γ B 2 ξ n 2 ) 2 ξ n ,
T d = ± 2 G n Γ B [ ξ n Γ B π erfc ( Γ B ξ n ) exp ( Γ B 2 ξ n 2 ) ] ξ n 3 ,
β 2 = ± i 4 G n Γ B [ 2 ξ n Γ B + ( ξ n 2 + 2 Γ B 2 ) π erfc ( Γ B ξ n ) exp ( Γ B 2 ξ n 2 ) ] ξ n 5 L ,
β 3 = ± 16 G n Γ B [ 2 ξ n ( ξ n 2 + Γ B 2 ) + Γ B ( 3 ξ n 2 + 2 Γ B 2 ) π erfc ( Γ B ξ n ) exp ( Γ B 2 ξ n 2 ) ] ξ n 7 L ,
β 4 = i 32 G n Γ B [ ( 3 ξ n 4 + 12 ξ n 2 Γ B 2 + 4 Γ B 4 ) π erfc ( Γ B ξ n ) exp ( Γ B 2 ξ n 2 ) 2 ξ n Γ B ( 5 ξ n 2 + 2 Γ B 2 ) ] ξ n 9 L ,
β 5 = ± 128 G n Γ B [ 8 ξ n 5 + 18 ξ n 3 Γ B 2 + 4 ξ n Γ B 4 Γ B ( 15 ξ n 4 + 20 ξ n 2 Γ B 2 + 4 Γ B 4 ) π erfc ( Γ B ξ n ) exp ( Γ B 2 ξ n 2 ) ] ξ n 11 L .
G = ± G n Γ B π 2 ξ n ,
T d = ± 2 G n Γ B ξ n 2 ,
β 2 = ± i 4 π G n Γ B ξ n 3 L ,
β 3 = 32 G n Γ B ξ n 4 L ,
β 4 = i 96 π G n Γ B ξ n 5 L ,
β 5 = ± 1024 G n Γ B ξ n 6 L .
T d _ net = 2 G n Γ B ξ n 2 ( 1 ξ 2 ξ 1 ) ,
β 3 _ net = 32 G 1 Γ B ξ 1 4 L ( ξ 1 ξ 2 1 ) ,
β 4 _ net = i 96 π G 1 Γ B ξ 1 5 L ( ξ 1 2 ξ 2 2 1 ) ,
β 5 _ net = 1024 G n Γ B ξ n 6 L ( 1 ξ 1 3 ξ 2 3 ) .
β 2 = j 16 g 0 I p Γ B ( Γ B + Δ ω p ) 3 .

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