Abstract

We investigate dispersion effects in dynamically tuned, coupled-resonator delay lines. Provided that the system is tuned to a zero-bandwidth state, a signal can be delayed indefinitely with almost no dispersion. We present a theoretical analysis of such a light-stopping system and verify the results using numerical simulations.

© 2006 Optical Society of America

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  1. S. E. Harris, Phys. Today 50(7), 36 (1997).
    [CrossRef]
  2. M. D. Lukin and A. Imamoglu, Nature 413, 273 (2001).
    [CrossRef] [PubMed]
  3. N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1997).
    [CrossRef]
  4. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, Opt. Lett. 24, 711 (1999).
    [CrossRef]
  5. G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
    [CrossRef]
  6. Z. Wang and S. Fan, Phys. Rev. E 68, 066616 (2003).
    [CrossRef]
  7. R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Willner, Phys. Rev. A 71, 023801 (2005).
    [CrossRef]
  8. J. B. Khurgin, Opt. Lett. 30, 513 (2005).
    [CrossRef] [PubMed]
  9. J. B. Khurgin, J. Opt. Soc. Am. B 22, 1062 (2005).
    [CrossRef]
  10. M. F. Yanik and S. Fan, Phys. Rev. Lett. 92, 083901 (2004).
    [CrossRef] [PubMed]
  11. M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Phys. Rev. Lett. 93, 233903 (2004).
    [CrossRef] [PubMed]
  12. Z. S. Yang, N. H. Kwong, R. Binder, and A. L. Smirl, Opt. Lett. 30, 2790 (2005).
    [CrossRef] [PubMed]
  13. M. Lipson, J. Lightwave Technol. 23, 4222 (2005).
    [CrossRef]
  14. M. F. Yanik and S. Fan, Phys. Rev. A 71, 013803 (2005).
    [CrossRef]
  15. J. B. Khurgin, Opt. Lett. 30, 2778 (2005).
    [CrossRef] [PubMed]

2005 (7)

2004 (2)

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

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

2003 (1)

Z. Wang and S. Fan, Phys. Rev. E 68, 066616 (2003).
[CrossRef]

2001 (2)

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

M. D. Lukin and A. Imamoglu, Nature 413, 273 (2001).
[CrossRef] [PubMed]

1999 (1)

1997 (2)

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1997).
[CrossRef]

Binder, R.

Boyd, R. W.

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Willner, Phys. Rev. A 71, 023801 (2005).
[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 and S. Fan, Phys. Rev. A 71, 013803 (2005).
[CrossRef]

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

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

Z. Wang and S. Fan, Phys. Rev. E 68, 066616 (2003).
[CrossRef]

Gaeta, A. L.

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

Gauthier, D. J.

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

Harris, S. E.

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

Imamoglu, A.

M. D. Lukin and A. Imamoglu, Nature 413, 273 (2001).
[CrossRef] [PubMed]

Khurgin, J. B.

Kwong, N. H.

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]

Lipson, M.

Lukin, M. D.

M. D. Lukin and A. Imamoglu, Nature 413, 273 (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]

Modinos, A.

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1997).
[CrossRef]

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]

Smirl, A. L.

Stefanou, N.

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1997).
[CrossRef]

Suh, W.

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

Wang, Z.

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

Z. Wang and S. Fan, Phys. Rev. E 68, 066616 (2003).
[CrossRef]

Willner, A. E.

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

Xu, Y.

Yang, Z. S.

Yanik, M. F.

M. F. Yanik and S. Fan, Phys. Rev. A 71, 013803 (2005).
[CrossRef]

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

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

Yariv, A.

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. Lightwave Technol. (1)

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

Nature (1)

M. D. Lukin and A. Imamoglu, Nature 413, 273 (2001).
[CrossRef] [PubMed]

Opt. Lett. (4)

Phys. Rev. A (2)

M. F. Yanik and S. Fan, Phys. Rev. A 71, 013803 (2005).
[CrossRef]

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

Phys. Rev. B (1)

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1997).
[CrossRef]

Phys. Rev. E (1)

Z. Wang and S. Fan, Phys. Rev. E 68, 066616 (2003).
[CrossRef]

Phys. Rev. Lett. (2)

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

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

Phys. Today (1)

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

A section of the example coupled-resonator light-stopping system. The unit cell has length L.

Fig. 2
Fig. 2

Band structure for the dynamic system shown in Fig. 1. (a) Detuning Δ = 9.43 × 10 5 ω c . (b) Detuning Δ = 0 .

Fig. 3
Fig. 3

Signal profiles: (a) input signal, (b) signal at output of dynamic light-stopping system with N = 43 , (c) signal at output of static line with N = 43 , and (d) output pulse for a static line with N = 13286 .

Fig. 4
Fig. 4

Ratio of output- to input-signal width: (a) dynamic light-stopping system with N = 43 . Delay is increased by increasing the holding time. (b) Static line. Delay is increased by increasing the length N.

Equations (14)

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ω ( k ) ω ( k c ) + ω k c ( 1 ) ( k k c ) + ω k c ( 2 ) 2 ! ( k k c ) 2 ,
Δ t out 2 = Δ t in 2 + [ τ ω k c ( 2 ) v g 2 Δ t in ] 2
ω ( k , t ) ω ( k c , t ) + ω k c ( 1 ) ( t ) ( k k c ) + ω k c ( 2 ) ( t ) 2 ! ( k k c ) 2 ,
E ( z , t ) = d k exp [ j 0 t ω ( k , t ) d t ] E ( k , t = 0 ) exp ( j k z ) = E o exp [ ( z z t ) 2 2 σ t 2 j ( k c z θ t ) ] ,
z t 0 t v g ( t ) d t ,
θ t 0 t ω k c ( t ) d t ,
σ t 2 [ v g ( 0 ) Δ t in ] 2 + i 0 t ω k c ( 2 ) ( t ) d t .
Δ z t 2 1 Re ( 1 σ t 2 ) = [ v g ( 0 ) Δ t in ] 2 + [ 0 t ω k c ( 2 ) ( t ) d t v g ( 0 ) Δ t in ] 2 .
Δ t out 2 = Δ t in 2 + [ 0 T ω k c ( 2 ) ( t ) d t + τ T τ ω k c ( 2 ) ( t ) d t v g 2 ( 0 ) Δ t in ] 2 .
Δ t out 2 Δ t in 2 + [ τ ω k c ( 2 ) ( 0 ) v g 2 ( 0 ) Δ t in ] 2 .
d q i ( t ) d t = j ω 0 q i ( t ) + j κ r i ( t ) + j κ r i 1 ( t ) ,
d r i ( t ) d t = j ω 0 r i ( t ) + j κ q i + 1 ( t ) + j κ q i ( t ) + j κ s s i ( t ) ,
d s i ( t ) d t = j ω s ( t ) s i ( t ) + j κ s r i ( t ) .
cos ( k L ) = 1 2 κ 2 ( ω ω 0 ) [ ω ω 0 κ s 2 ω ω s ( t ) ] 1 .

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