Abstract

We show a simple method to reduce the distortions in SBS based slow light systems. The distortion reduction is simply based on a broadening and adaptation of the gain bandwidth. However, a broadened gain reduces the achievable fractional delay which cannot be compensated by higher pump powers. Here we will show that this compensation can be done by additional loss spectra. With the presented method low distortions for high fractional pulse delays are possible. We show the theory and experimental verifications of our method. For Gaussian pulses with a fractional delay of 1Bit we achieved a distortion reduction of around 23%.

© 2008 Optical Society of America

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  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]
  2. K. Y. Song, M. G. Herraez, and L. Thévenaz, "Observation of pulse delaying and advancement in optical fibers using stimulated Brillouin scattering," Opt. Express 13, 82-88 (2005).
    [CrossRef] [PubMed]
  3. T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, "Comparison of Delay enhancement mechanisms for SBS-based slow light systems," Opt. Express 15, 9605-9613 (2007).
    [CrossRef]
  4. M. G. Herraez, K. Y. Song, and L. Thévenaz, "Arbitrary-bandwidth Brillouin slow light in optical fibers," Opt. Express 14, 1395-1400 (2006).
    [CrossRef]
  5. T. Schneider, K. U. Lauterbach, and M. Junker, "Potential ultra wide slow-light bandwidth enhancement," Opt. Express 14, 11082-11087 (2006).
    [CrossRef] [PubMed]
  6. L. Yi, Y. Jaouen, W. Hu, J. Zhou, Y. Su, and E. Pincemin, "Simultaneous demodulation and slow light of differential phase-shift keying signals using stimulated-Brillouin-scattering-based optical filtering in fiber," Opt. Lett. 32, 3182-3184 (2007).
    [CrossRef] [PubMed]
  7. 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] [PubMed]
  8. M. D. Stenner and M. A. Neifeld, "Distortion management in slow-light pulse delay," Opt. Express 13, 9995-10002 (2005).
    [CrossRef] [PubMed]
  9. Z. Zhu, D. J. Gauthier, Y. Okawachi, J. E. Sharping, A. L. Gaeta, R. W. Boyd, and A. E. Willner, "Numerical study of all-optical slow-light delays via stimulated Brillouin scattering in an optical fiber," J. Opt. Soc. Am. B 22, 2378-2384 (2005).
    [CrossRef]
  10. L. Xing, L. Zhan, L. Yi, and Y. Xia, "Storage capacity of slow-light tunable optical buffers based on fiber Brillouin amplifiers for real signal bit streams," Opt. Express 15, 10189-10195 (2007).
    [CrossRef] [PubMed]
  11. C. C. Lee and S. Chi, "Measurement of Stimulated-Brillouin-Scattering Threshold for Various Types of Fibers Using Brillouin Optical-Time-Domain Reflectometer," IEEE Photon. Technol. Lett. 12, 672-674 (2000).
    [CrossRef]
  12. T. Schneider, "Time Delay Limits of SBS based Slow Light Systems," Accepted for publication in Opt. Lett.
  13. Z. Zhu and D. J. Gauthier, "Nearly transparent SBS slow light in an optical fiber," Opt. Express 14, 7238-7245 (2006).
    [CrossRef] [PubMed]
  14. J. B. Khurgin, "Performance limits of delay lines based on optical amplifiers," Opt. Lett. 31, 948-950 (2006)
    [CrossRef] [PubMed]
  15. K. Y. Song, M. G. Herraez, and L. Thévenaz, "Long optically controlled delays in optical fibers," Opt. Lett. 30, 1782-1784 (2005).
    [CrossRef] [PubMed]
  16. T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, "Distortion reduction in cascaded slow light delays," Electron. Lett. 42, 1110 - 1112 (2006).
    [CrossRef]

2008 (1)

2007 (3)

2006 (5)

2005 (5)

2000 (1)

C. C. Lee and S. Chi, "Measurement of Stimulated-Brillouin-Scattering Threshold for Various Types of Fibers Using Brillouin Optical-Time-Domain Reflectometer," IEEE Photon. Technol. Lett. 12, 672-674 (2000).
[CrossRef]

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]

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]

Z. Zhu, D. J. Gauthier, Y. Okawachi, J. E. Sharping, A. L. Gaeta, R. W. Boyd, and A. E. Willner, "Numerical study of all-optical slow-light delays via stimulated Brillouin scattering in an optical fiber," J. Opt. Soc. Am. B 22, 2378-2384 (2005).
[CrossRef]

Chi, S.

C. C. Lee and S. Chi, "Measurement of Stimulated-Brillouin-Scattering Threshold for Various Types of Fibers Using Brillouin Optical-Time-Domain Reflectometer," IEEE Photon. Technol. Lett. 12, 672-674 (2000).
[CrossRef]

Gaeta, A. L.

Z. Zhu, D. J. Gauthier, Y. Okawachi, J. E. Sharping, A. L. Gaeta, R. W. Boyd, and A. E. Willner, "Numerical study of all-optical slow-light delays via stimulated Brillouin scattering in an optical fiber," J. Opt. Soc. Am. B 22, 2378-2384 (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]

Gauthier, D. J.

Henker, R.

T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, "Comparison of Delay enhancement mechanisms for SBS-based slow light systems," Opt. Express 15, 9605-9613 (2007).
[CrossRef]

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, "Distortion reduction in cascaded slow light delays," Electron. Lett. 42, 1110 - 1112 (2006).
[CrossRef]

Herraez, M. G.

Hu, W.

Jaouen, Y.

Junker, M.

T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, "Comparison of Delay enhancement mechanisms for SBS-based slow light systems," Opt. Express 15, 9605-9613 (2007).
[CrossRef]

T. Schneider, K. U. Lauterbach, and M. Junker, "Potential ultra wide slow-light bandwidth enhancement," Opt. Express 14, 11082-11087 (2006).
[CrossRef] [PubMed]

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, "Distortion reduction in cascaded slow light delays," Electron. Lett. 42, 1110 - 1112 (2006).
[CrossRef]

Khurgin, J. B.

Lauterbach, K. U.

T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, "Comparison of Delay enhancement mechanisms for SBS-based slow light systems," Opt. Express 15, 9605-9613 (2007).
[CrossRef]

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, "Distortion reduction in cascaded slow light delays," Electron. Lett. 42, 1110 - 1112 (2006).
[CrossRef]

T. Schneider, K. U. Lauterbach, and M. Junker, "Potential ultra wide slow-light bandwidth enhancement," Opt. Express 14, 11082-11087 (2006).
[CrossRef] [PubMed]

Lee, C. C.

C. C. Lee and S. Chi, "Measurement of Stimulated-Brillouin-Scattering Threshold for Various Types of Fibers Using Brillouin Optical-Time-Domain Reflectometer," IEEE Photon. Technol. Lett. 12, 672-674 (2000).
[CrossRef]

Neifeld, M. A.

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]

Z. Zhu, D. J. Gauthier, Y. Okawachi, J. E. Sharping, A. L. Gaeta, R. W. Boyd, and A. E. Willner, "Numerical study of all-optical slow-light delays via stimulated Brillouin scattering in an optical fiber," J. Opt. Soc. Am. B 22, 2378-2384 (2005).
[CrossRef]

Pant, R.

Pincemin, E.

Schneider, T.

T. Schneider, R. Henker, K. U. Lauterbach, and M. Junker, "Comparison of Delay enhancement mechanisms for SBS-based slow light systems," Opt. Express 15, 9605-9613 (2007).
[CrossRef]

T. Schneider, K. U. Lauterbach, and M. Junker, "Potential ultra wide slow-light bandwidth enhancement," Opt. Express 14, 11082-11087 (2006).
[CrossRef] [PubMed]

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, "Distortion reduction in cascaded slow light delays," Electron. Lett. 42, 1110 - 1112 (2006).
[CrossRef]

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]

Z. Zhu, D. J. Gauthier, Y. Okawachi, J. E. Sharping, A. L. Gaeta, R. W. Boyd, and A. E. Willner, "Numerical study of all-optical slow-light delays via stimulated Brillouin scattering in an optical fiber," J. Opt. Soc. Am. B 22, 2378-2384 (2005).
[CrossRef]

Song, K. Y.

Stenner, M. D.

Su, Y.

Thévenaz, L.

Willner, A. E.

Xia, Y.

Xing, L.

Yi, L.

Zhan, L.

Zhou, J.

Zhu, Z.

Zhu, Z. M.

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]

Electron. Lett. (1)

T. Schneider, M. Junker, K. U. Lauterbach, and R. Henker, "Distortion reduction in cascaded slow light delays," Electron. Lett. 42, 1110 - 1112 (2006).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

C. C. Lee and S. Chi, "Measurement of Stimulated-Brillouin-Scattering Threshold for Various Types of Fibers Using Brillouin Optical-Time-Domain Reflectometer," IEEE Photon. Technol. Lett. 12, 672-674 (2000).
[CrossRef]

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

Opt. Express (8)

Opt. Lett. (3)

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 (1)

T. Schneider, "Time Delay Limits of SBS based Slow Light Systems," Accepted for publication in Opt. Lett.

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Figures (4)

Fig. 1.
Fig. 1.

(a). Maximum gain versus bandwidth for two different broadening factors (solid lines) and corresponding fractional delay (dashed dotted lines) for 30ns pulses. (b) Normalized time delay versus k and n for m=1.

Fig. 2.
Fig. 2.

Normalized gain (a), normalized group index change (b), derivation of the group index change (c) and two times the derivation of the group index change (d) versus normalized frequency for a single Brillouin gain (dashed lines) and a broadened Brillouin gain superimposed with two losses (solid lines). For the case of superposition the parameters are; γ1=2γ, m=3, k=0.25, n=1. Please note that the abscissa scale of (a) and (b) is four times the scale of (c) and (d). The inset shows a zoom into the gain spectra for a vertically shifted solid line.

Fig. 3.
Fig. 3.

(a). Schematic experimental set up. The insets show the allocation of the pump lights and of the corresponding gains and losses. (b) Pulse broadening factor vs. fractional delay for a natural Brillouin gain (squares), a broadened gain (stars) and a broadened gain superimposed with two losses (δ=30MHz) at its wings (dots). The lines show a square root and a linear fitting of the corresponding data.

Fig. 4.
Fig. 4.

(a) Normalized pulse power vs. time delay for a natural Brillouin gain and a doubled Brillouin gain superimposed with two losses at its wings (b), δ=30MHz.

Equations (3)

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B = 1 + 16 ln 2 τ in γ T .
g γ 2 τ in 2 ( B 2 1 ) 16 ln 2 .
Δ t = g 1 γ 1 ( 1 2 mk k 2 n 2 ( k 2 + n 2 ) 2 ) ,

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