Abstract

The performance of tunable buffers based on optical amplifiers and its improvement by use of gain flattening are analyzed. A simple analytical expression is obtained indicating that the gain required to attain tunable storage of N bits increases nonlinearly with N and reaches unrealistically high values for N>5. A comparison with other types of optical delay line is made.

© 2006 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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2005 (8)

R. S. Tucker, P. C. Ku, and C. J. Chang-Hasnain, Electron. Lett. 41, 208 (2005).
[CrossRef]

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Wilner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

K. Y. Song, M. G. Herraez, and L. Thevenaz, Opt. Lett. 29, 1782 (2005).
[CrossRef]

A. B. Matsko, A. B. D. V. Strekalov, and L. Maleki,Opt. Express 13, 2210 (2005).
[CrossRef] [PubMed]

J. B. Khurgin, J. Opt. Soc. Am. B 22, 1062 (2005).
[CrossRef]

J. E. Sharping, Y. Okawachi, and A. L. Gaeta, Opt. Express 13, 6092 (2005).
[CrossRef] [PubMed]

D. Dahan and G. Eisenstein, Opt. Express 13, 6234 (2005).
[CrossRef] [PubMed]

2004 (2)

2003 (3)

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

M. Xiao, IEEE J. Sel. Top. Quantum Electron. 9, 86 (2003).
[CrossRef]

A. Melloni, F. Morichetti, and M. Martnelli, Opt. Quantum Electron. 35, 365 (2003).
[CrossRef]

2001 (1)

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

1999 (1)

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Akasaka, Y.

Bajcsy, M.

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

Behroozi, C. H.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Bigelow, M. S.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Boyd, R. W.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Wilner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

R. W. Boyd and D. J. Gauthier, in Progress in Optics, Vol. 43, E.Wolf, ed. (Elsevier, 2002), Chap. 6, p. 497.
[CrossRef]

Chang-Hasnain, C. J.

R. S. Tucker, P. C. Ku, and C. J. Chang-Hasnain, Electron. Lett. 41, 208 (2005).
[CrossRef]

Dahan, D.

Diddams, S. A.

Dutton, Z.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Eggleton, B. J.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

Eisenstein, G.

Gaeta, A. L.

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Wilner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

J. E. Sharping, Y. Okawachi, and A. L. Gaeta, Opt. Express 13, 6092 (2005).
[CrossRef] [PubMed]

Gauthier, D. J.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Wilner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

R. W. Boyd and D. J. Gauthier, in Progress in Optics, Vol. 43, E.Wolf, ed. (Elsevier, 2002), Chap. 6, p. 497.
[CrossRef]

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Hau, L. V.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Herraez, M. G.

K. Y. Song, M. G. Herraez, and L. Thevenaz, Opt. Lett. 29, 1782 (2005).
[CrossRef]

Kazovsky, L. G.

Khurgin, J. B.

Ku, P. C.

R. S. Tucker, P. C. Ku, and C. J. Chang-Hasnain, Electron. Lett. 41, 208 (2005).
[CrossRef]

Lenz, G.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

Lukin, M. D.

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

Madsen, C. K.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

Maleki, L.

Marhic, M. E.

Martnelli, M.

A. Melloni, F. Morichetti, and M. Martnelli, Opt. Quantum Electron. 35, 365 (2003).
[CrossRef]

Matsko, A. B.

Melloni, A.

A. Melloni, F. Morichetti, and M. Martnelli, Opt. Quantum Electron. 35, 365 (2003).
[CrossRef]

Morichetti, F.

A. Melloni, F. Morichetti, and M. Martnelli, Opt. Quantum Electron. 35, 365 (2003).
[CrossRef]

Newbury, N. R.

Nicholson, J. W.

Okawachi, Y.

J. E. Sharping, Y. Okawachi, and A. L. Gaeta, Opt. Express 13, 6092 (2005).
[CrossRef] [PubMed]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Schweinsberg, A.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Sharping, J. E.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

J. E. Sharping, Y. Okawachi, and A. L. Gaeta, Opt. Express 13, 6092 (2005).
[CrossRef] [PubMed]

Slusher, R. E.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

Song, K. Y.

K. Y. Song, M. G. Herraez, and L. Thevenaz, Opt. Lett. 29, 1782 (2005).
[CrossRef]

Strekalov, A. B. D. V.

Thevenaz, L.

K. Y. Song, M. G. Herraez, and L. Thevenaz, Opt. Lett. 29, 1782 (2005).
[CrossRef]

Tucker, R. S.

R. S. Tucker, P. C. Ku, and C. J. Chang-Hasnain, Electron. Lett. 41, 208 (2005).
[CrossRef]

Washburn, B. R.

Wilner, A. E.

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Wilner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Xiao, M.

M. Xiao, IEEE J. Sel. Top. Quantum Electron. 9, 86 (2003).
[CrossRef]

Yam, S. S.-H.

Zhu, Z.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Zibrov, A. S.

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

Electron. Lett. (1)

R. S. Tucker, P. C. Ku, and C. J. Chang-Hasnain, Electron. Lett. 41, 208 (2005).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

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

M. Xiao, IEEE J. Sel. Top. Quantum Electron. 9, 86 (2003).
[CrossRef]

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

Nature (2)

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (3)

Opt. Quantum Electron. (1)

A. Melloni, F. Morichetti, and M. Martnelli, Opt. Quantum Electron. 35, 365 (2003).
[CrossRef]

Phys. Rev. A (1)

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Wilner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Other (1)

R. W. Boyd and D. J. Gauthier, in Progress in Optics, Vol. 43, E.Wolf, ed. (Elsevier, 2002), Chap. 6, p. 497.
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

Gain coefficient (solid curve) and group index (dashed curve) for a, Gaussian and b, flattened gain profiles.

Equations (17)

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n ( ω ) = n ¯ λ 4 π 2 g ( ω ) ω ω d ω ,
g ( ω ) = 2 ( ln 2 π ) 1 2 γ ω 1 2 exp [ 4 ln ( 2 ) ( ω ω 0 ) 2 ω 1 2 2 ] .
v g 1 ( ω 0 ) = [ n ¯ ( ω 0 ) + ω d n ( ω 0 ) d ω ] c 1 = n ¯ ( ω 0 ) c 1 + 8 ln 2 π γ ω 1 2 2 ,
β 3 ( ω 0 ) = 3 β ω 3 = 128 ( ln 2 ) 2 γ π ω 1 2 4 ,
G ( ω 0 + 1 2 Δ ω sig ) G ( ω 0 ) = exp { [ g ( ω 0 + 1 2 Δ ω sig ) g ( ω 0 ) ] L } exp { 2 ( 1 π ) 1 2 ( ln 2 ) 3 2 γ L Δ ω sig 2 ω 1 2 3 } = 1 2 .
[ 8 ln ( 2 ) ] 5 2 B 2 π 1 2 ω 1 2 3 γ L 1 .
N st = B L ( v g 1 n ¯ c ) = 8 ln 2 π γ B L ω 1 2 2 .
ω 1 2 B = π ( 8 ln 2 ) 3 2 N st ,
L = 128 π 2 ( ln 2 ) 2 γ 1 B N st 3 .
1 8 β 3 Δ ω sig 2 L < 1 2 B or ( 4 2 ln 2 ) 4 π ω 1 2 4 γ L B 3 < 1 .
ω 1 2 B = 16 ( ln 2 ) 3 2 N st 1 2 ,
L = 64 π ( ln 2 ) 2 γ 1 B N st 2 .
G ω 0 = 10 log 10 [ g ( ω 0 ) L ] 50 N st 2 .
g ( ω ) γ δ ω , ω 0 δ ω 2 ω ω 0 δ ω 2 ,
L = π ( 8 ln 2 ) 2 γ 1 B N st 2 ,
δ ω B = 8 2 ( ln 2 ) N st 1 2 ,
G ω 0 50 N st 3 2 .

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