Abstract

We introduce a method of achieving cross-gain modulation and slow light using the Brillouin nonlinearity in an optical fiber. We demonstrate approximatetely 10 m/s group velocity using this technique with milliwatts of optical power at room temperature.

© 2009 Optical Society of America

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References

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  1. J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
    [CrossRef]
  2. J. Xu, X. Zhang, J. Dong, D. Liu, and D. Huang, Opt. Lett. 32, 3029 (2007).
    [CrossRef] [PubMed]
  3. T. Arditi, E. Granot, and S. Sternklar, Opt. Lett. 32, 2689 (2007).
    [CrossRef] [PubMed]
  4. S. Sternklar, T. Arditi, and E. Granot, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems, OSA Technical Digest (CD) (Optical Society of America, 2007), paper QTuH3.
    [PubMed]
  5. T. Schneider, Opt. Lett. 33, 1398 (2008).
    [CrossRef] [PubMed]
  6. M. G. Herraez, K. Y. Song, and L. Thévenaz, Opt. Express 14, 1395 (2006).
    [CrossRef]
  7. E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
    [CrossRef]
  8. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).
  9. A. Wiatrek, R. Henker, S. Preußler, M. J. Ammann, A. T. Schwarzbacher, and T. Schneider, Opt. Express 17, 797 (2009).
    [CrossRef] [PubMed]
  10. M. G. Herraez, K. Y. Song, and L. Thevenaz, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic, Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper OTuA2.
  11. A. Minardo, R. Bernini, and L. Zeni, Opt. Express 14, 5866 (2006).
    [CrossRef] [PubMed]
  12. Z. Shi, R. Pant, Z. Zhu, M. D. Stenner, M. A. Neifeld, D. J. Gauthier, and R. W. Boyd, Opt. Lett. 32, 1986 (2007).
    [CrossRef] [PubMed]
  13. T. Sakamoto, T. Yamamoto, K. Shiraki, and T. Kurashima, Opt. Express 16, 8026 (2008).
    [CrossRef] [PubMed]
  14. S. Sternklar and E. Granot, Opt. Lett. 28, 977 (2003).
    [CrossRef] [PubMed]
  15. Z. Shi and R. W. Boyd, J. Opt. Soc. Am. B 25, C136 (2008).
    [CrossRef]
  16. K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
    [CrossRef]

2009

J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
[CrossRef]

A. Wiatrek, R. Henker, S. Preußler, M. J. Ammann, A. T. Schwarzbacher, and T. Schneider, Opt. Express 17, 797 (2009).
[CrossRef] [PubMed]

2008

T. Sakamoto, T. Yamamoto, K. Shiraki, and T. Kurashima, Opt. Express 16, 8026 (2008).
[CrossRef] [PubMed]

T. Schneider, Opt. Lett. 33, 1398 (2008).
[CrossRef] [PubMed]

Z. Shi and R. W. Boyd, J. Opt. Soc. Am. B 25, C136 (2008).
[CrossRef]

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
[CrossRef]

2007

S. Sternklar, T. Arditi, and E. Granot, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems, OSA Technical Digest (CD) (Optical Society of America, 2007), paper QTuH3.
[PubMed]

Z. Shi, R. Pant, Z. Zhu, M. D. Stenner, M. A. Neifeld, D. J. Gauthier, and R. W. Boyd, Opt. Lett. 32, 1986 (2007).
[CrossRef] [PubMed]

T. Arditi, E. Granot, and S. Sternklar, Opt. Lett. 32, 2689 (2007).
[CrossRef] [PubMed]

J. Xu, X. Zhang, J. Dong, D. Liu, and D. Huang, Opt. Lett. 32, 3029 (2007).
[CrossRef] [PubMed]

2006

E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
[CrossRef]

M. G. Herraez, K. Y. Song, and L. Thevenaz, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic, Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper OTuA2.

M. G. Herraez, K. Y. Song, and L. Thévenaz, Opt. Express 14, 1395 (2006).
[CrossRef]

A. Minardo, R. Bernini, and L. Zeni, Opt. Express 14, 5866 (2006).
[CrossRef] [PubMed]

2003

Alam, M. N.

K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
[CrossRef]

Ammann, M. J.

Arditi, T.

T. Arditi, E. Granot, and S. Sternklar, Opt. Lett. 32, 2689 (2007).
[CrossRef] [PubMed]

S. Sternklar, T. Arditi, and E. Granot, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems, OSA Technical Digest (CD) (Optical Society of America, 2007), paper QTuH3.
[PubMed]

E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
[CrossRef]

Bernini, R.

Bimberg, D.

J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
[CrossRef]

Boyd, R. W.

Dong, J.

Eisenstein, G.

J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
[CrossRef]

Gauthier, D. J.

Granot, E.

S. Sternklar, T. Arditi, and E. Granot, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems, OSA Technical Digest (CD) (Optical Society of America, 2007), paper QTuH3.
[PubMed]

T. Arditi, E. Granot, and S. Sternklar, Opt. Lett. 32, 2689 (2007).
[CrossRef] [PubMed]

E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
[CrossRef]

S. Sternklar and E. Granot, Opt. Lett. 28, 977 (2003).
[CrossRef] [PubMed]

Henker, R.

Herraez, M. G.

M. G. Herraez, K. Y. Song, and L. Thevenaz, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic, Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper OTuA2.

M. G. Herraez, K. Y. Song, and L. Thévenaz, Opt. Express 14, 1395 (2006).
[CrossRef]

Huang, D.

Jensen, K. H.

K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
[CrossRef]

Kim, J.

J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
[CrossRef]

Kurashima, T.

Kwiat, D.

E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
[CrossRef]

Laemmlin, M.

J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
[CrossRef]

Lambrecht, A.

K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
[CrossRef]

Liu, D.

Meuer, C.

J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
[CrossRef]

Minardo, A.

Mortensen, N. A.

K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
[CrossRef]

Neifeld, M. A.

Pant, R.

Preußler, S.

Sakamoto, T.

Scherer, B.

K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
[CrossRef]

Schneider, T.

Schwarzbacher, A. T.

Shi, Z.

Shiraki, K.

Song, K. Y.

M. G. Herraez, K. Y. Song, and L. Thevenaz, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic, Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper OTuA2.

M. G. Herraez, K. Y. Song, and L. Thévenaz, Opt. Express 14, 1395 (2006).
[CrossRef]

Stenner, M. D.

Sternklar, S.

S. Sternklar, T. Arditi, and E. Granot, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems, OSA Technical Digest (CD) (Optical Society of America, 2007), paper QTuH3.
[PubMed]

T. Arditi, E. Granot, and S. Sternklar, Opt. Lett. 32, 2689 (2007).
[CrossRef] [PubMed]

E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
[CrossRef]

S. Sternklar and E. Granot, Opt. Lett. 28, 977 (2003).
[CrossRef] [PubMed]

Thevenaz, L.

M. G. Herraez, K. Y. Song, and L. Thevenaz, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic, Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper OTuA2.

Thévenaz, L.

Tur, M.

E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
[CrossRef]

Wiatrek, A.

Xu, J.

Yamamoto, T.

Zeni, L.

Zhang, X.

Zhu, Z.

IEEE J. Quantum Electron.

J. Kim, M. Laemmlin, C. Meuer, D. Bimberg, and G. Eisenstein, IEEE J. Quantum Electron. 45, 240 (2009).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

K. H. Jensen, M. N. Alam, B. Scherer, A. Lambrecht, and N. A. Mortensen, Opt. Commun. 281, 5335 (2008).
[CrossRef]

E. Granot, S. Sternklar, D. Kwiat, T. Arditi, and M. Tur, Opt. Commun. 259, 328 (2006).
[CrossRef]

Opt. Express

Opt. Lett.

Other

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

M. G. Herraez, K. Y. Song, and L. Thevenaz, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic, Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper OTuA2.

S. Sternklar, T. Arditi, and E. Granot, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems, OSA Technical Digest (CD) (Optical Society of America, 2007), paper QTuH3.
[PubMed]

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Figures (3)

Fig. 1
Fig. 1

Experimental schematic as described in the text. EDFA, erbium-doped fiber amplifier.

Fig. 2
Fig. 2

Top: sinusoidal pump and Stokes, where (a) is the input pump and (b)–(e) are the output pumps for various G α β values. (b) G α β = 0 (no Stokes, linear case), (c) G α β = 0.6 , (d) G α β = 0.9 , (e) G α β = 2.75 . Bottom: pulsed pump and Stokes, where (a) is the input pump and (b) is the output pump pulse for increasing Stokes powers from zero power (linear case) to 3 dBm.

Fig. 3
Fig. 3

Theoretical (curves) and measured (dots) normalized group velocity versus modulation frequency. Inset, data for the small modulation frequency range, and G α β = 2.75 .

Equations (9)

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A 1 ( z , t ) = A 1 0 + a 1 2 e i ( K z + Ω t ) + c.c. ,
A 2 ( z , t ) = A 2 0 ( z ) + a 2 ( z ) 2 e i ( K z Ω t ) + c.c. .
A 2 ( z , t ) z + 1 v A 2 ( z , t ) t = g ( Δ ω ) 2 I 1 ( z , t ) A 2 ( z , t ) ,
g ( Δ ω ) = g 0 1 2 i Δ ω Γ B ,
A 2 0 ( L ) = A 2 0 ( 0 ) e G 0 2 ,
a 2 ( L ) = a 2 ( 0 ) e G + 2 e i φ + α G + 2 A 2 0 ( 0 ) e G + 2 sinc ( γ L 2 ) e i γ L 2 .
A 2 ( z = L , t ) = A 2 0 ( 0 ) e G 2 [ 1 + F cos ( K L + φ + ϑ B Ω t ) ] .
ϑ B = tan 1 ( H sin ψ 1 + H cos ψ )
ϑ B tan 1 ( α β G K L 1 α β G ) ,

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