Abstract

A simple tunable optical delay line based on adiabatic zone folding in coupled resonator lines is proposed, and its performance is analyzed. The results, valid for all adiabatically tunable optical buffers based on resonators, indicate that, while at low to medium bit rates the performance is improved substantially compared with that of the fixed delay lines, this improvement vanishes for high bit rates and large storage capacities.

© 2005 Optical Society of America

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References

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  1. J. B. Khurgin, Phys. Rev. A 62, 3821 (2000).
    [CrossRef]
  2. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, Opt. Lett. 24, 711 (1999).
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  3. A. Melloni, F. Morichetti, and M. Martnelli, Opt. Quantum Electron. 35, 365 (2003).
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  4. J. E. Heebner and R. W. Boyd, J. Mod. Opt. 49, 2629 (2002).
    [CrossRef]
  5. Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).
  6. S. Nishikawa, S. Lan, N. Ikeda, Y. Sugimoto, H. Ishikawa, and K. Asakawa, Opt. Lett. 27, 2079 (2002).
    [CrossRef]
  7. G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
    [CrossRef]
  8. J. B. Khurgin, J. Opt. Soc. Am. B 22, 1062 (2005).
    [CrossRef]
  9. J. B. Khurgin, Opt. Lett. 30, 513 (2005).
    [CrossRef] [PubMed]
  10. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
    [CrossRef] [PubMed]
  11. M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
    [CrossRef] [PubMed]
  12. M. F. Yanik and S. Fan, Phys. Rev. Lett. 92, 083901 (2004).
    [CrossRef]
  13. M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
    [CrossRef]

2005 (2)

2004 (2)

M. F. Yanik and S. Fan, Phys. Rev. Lett. 92, 083901 (2004).
[CrossRef]

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
[CrossRef]

2003 (3)

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

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

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

2002 (2)

2001 (2)

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

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

2000 (1)

J. B. Khurgin, Phys. Rev. A 62, 3821 (2000).
[CrossRef]

1999 (1)

Asakawa, K.

Asakawa, Y. K.

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

Bajcsy, M.

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

Boyd, R. W.

J. E. Heebner and R. W. Boyd, J. Mod. Opt. 49, 2629 (2002).
[CrossRef]

Eggleton, B. J.

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

Fan, S.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
[CrossRef]

M. F. Yanik and S. Fan, Phys. Rev. Lett. 92, 083901 (2004).
[CrossRef]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Heebner, J. E.

J. E. Heebner and R. W. Boyd, J. Mod. Opt. 49, 2629 (2002).
[CrossRef]

Ikeda, N.

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

S. Nishikawa, S. Lan, N. Ikeda, Y. Sugimoto, H. Ishikawa, and K. Asakawa, Opt. Lett. 27, 2079 (2002).
[CrossRef]

Ishikawa, H.

Khurgin, J. B.

Lan, S.

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

S. Nishikawa, S. Lan, N. Ikeda, Y. Sugimoto, H. Ishikawa, and K. Asakawa, Opt. Lett. 27, 2079 (2002).
[CrossRef]

Lee, R. K.

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]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[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]

Mair, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Martnelli, M.

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

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]

Nishikawa, S.

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Scherer, A.

Slusher, R. E.

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

Sugimoto, Y.

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

S. Nishikawa, S. Lan, N. Ikeda, Y. Sugimoto, H. Ishikawa, and K. Asakawa, Opt. Lett. 27, 2079 (2002).
[CrossRef]

Suh, W.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
[CrossRef]

Tanaka, Y.

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

Tao, Y.

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

Walsworth, R. L.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Wang, Z.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
[CrossRef]

Xu, Y.

Yanik, M. F.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
[CrossRef]

M. F. Yanik and S. Fan, Phys. Rev. Lett. 92, 083901 (2004).
[CrossRef]

Yariv, A.

Zibrov, A. S.

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

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]

J. Mod. Opt. (1)

J. E. Heebner and R. W. Boyd, J. Mod. Opt. 49, 2629 (2002).
[CrossRef]

J. Opt. Soc. Am. B (2)

Y. Tao, Y. Sugimoto, S. Lan, N. Ikeda, Y. Tanaka, and Y. K. Asakawa, J. Opt. Soc. Am. B 20, 1992 (2003).

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

Nature (1)

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

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)

J. B. Khurgin, Phys. Rev. A 62, 3821 (2000).
[CrossRef]

Phys. Rev. Lett. (3)

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

M. F. Yanik and S. Fan, Phys. Rev. Lett. 92, 083901 (2004).
[CrossRef]

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Operational principle of a tunable optical buffer with adiabatic changes of group velocity.

Fig. 2
Fig. 2

Adiabatic zone-folding tunable delay line (a–c) before and (d–f) after electro-optically induced zone folding and group-velocity change.

Fig. 3
Fig. 3

Performance of an adiabatic tunable delay line as a function of bit rate.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

ω ̃ ( ω ̃ 2 δ 2 ) 3 ω ̃ α 2 = 2 α 3 cos 3 k a ,
v 2 = ω k ω 0 = 6 α 3 a ( δ 2 + 3 α 2 ) = v 1 ( δ 2 3 α 2 + 1 ) .
β 3 ( 2 ) = ( δ 2 + 3 α 2 ) 3 24 α 9 a α 3 a = ( 9 κ 3 8 ) β 3 ( 1 ) ,
L 2 = 1 f f L 1 9 8 κ 3 .
L a = L 1 + L 2 a = f 3 2 γ 3 2 N st 3 2 8 f ( 1 κ 3 ) + 1 9 8 κ 3 ,
N lat = N st + N 2 = N st [ ( δ 2 3 α ) 2 ( 1 f ) f ( 9 8 κ 3 ) + 8 f ( 1 κ 3 ) + 1 9 8 κ 3 ] .
B cut = δ 2 6 N st = π 6 1 2 Δ n n v 0 γ 3 2 N st 1 2 50 Δ n n N st 1 2 T B s
N lat = L a γ 3 2 N st 1 2 [ f 3 2 + f 3 2 B cut 2 B 2 ( 1 f ) f [ 1 ( f B cut 2 B 2 + 1 ) 3 ] + 1 8 ] = L a γ 3 2 N st 1 2 M a .
N lat = N st , 0 f 1 6 [ 1 + 1 f f 1 [ 9 8 ( f B cut 2 B 2 + 1 ) 3 ] ] 1 3 M a N st , 0 M a .

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