Abstract

Synchronization of three chaotic diode lasers is effected in a transmitter-mediator-receiver configuration. The transmitter laser’s output is bidirectionally coupled to the mediator laser to achieve anticipating synchronization in their output intensities. The mediator laser’s output is unidirectionally coupled to the receiver laser to achieve lag synchronization in their output intensities. This combination of lead and lag synchronization nullifies the time-of-flight lead-lag in synchronization between the transmitter and receiver lasers. This approach provides a means of eliminating time-of-flight delays in the synchronization of remote transmitters and receivers.

© 2003 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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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]
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    [CrossRef] [PubMed]
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    [CrossRef]

2001

C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
[CrossRef] [PubMed]

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, Phys. Rev. Lett. 87, 154101 (2001).
[CrossRef]

2000

H. Fujino and J. Ohtsubo, Opt. Lett. 25, 625 (2000).
[CrossRef]

S. Sivaprakasam and K. A. Shore, IEEE J. Quantum Electron. 36, 35 (2000).
[CrossRef]

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (R) (2000).
[CrossRef]

H. U. Voss, Phys. Rev. E 61, 5115 (2000).
[CrossRef]

1999

1998

L. G. Luo and P. L. Chu, J. Opt. Soc. Am. B 15, 2524 (1998).
[CrossRef]

G. D. VanWiggeren and R. Roy, Science 279, 1198 (1998).
[CrossRef] [PubMed]

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

P. S. Spencer, C. R. Mirasso, P. Colet, and K. A. Shore, IEEE J. Quantum Electron. 34, 1673 (1998).
[CrossRef]

D. Y. Tang, R. Dykstra, M. W. Hamilton, and N. R. Heckenberg, Phys. Rev. E 57, 5247 (1998).
[CrossRef]

1996

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 32, 953 (1996).
[CrossRef]

1994

K. A. Shore and D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

R. Roy and K. S. Thornburg Jr., Phys. Rev. Lett. 72, 2009 (1994).
[CrossRef] [PubMed]

T. Sugawara, M. Tachikawa, T. Tsukamoto, and T. Shimisu, Phys. Rev. Lett. 72, 3502 (1994).
[CrossRef] [PubMed]

1990

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

Annovazzi-Lodi, V.

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 32, 953 (1996).
[CrossRef]

Carroll, T. L.

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

Chu, P. L.

Colet, P.

P. S. Spencer, C. R. Mirasso, P. Colet, and K. A. Shore, IEEE J. Quantum Electron. 34, 1673 (1998).
[CrossRef]

Davis, P.

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (R) (2000).
[CrossRef]

Donati, S.

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 32, 953 (1996).
[CrossRef]

Dykstra, R.

D. Y. Tang, R. Dykstra, M. W. Hamilton, and N. R. Heckenberg, Phys. Rev. E 57, 5247 (1998).
[CrossRef]

Fischer, I.

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (R) (2000).
[CrossRef]

Fujino, H.

Goedgebuer, J. P.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Hamilton, M. W.

D. Y. Tang, R. Dykstra, M. W. Hamilton, and N. R. Heckenberg, Phys. Rev. E 57, 5247 (1998).
[CrossRef]

Heckenberg, N. R.

D. Y. Tang, R. Dykstra, M. W. Hamilton, and N. R. Heckenberg, Phys. Rev. E 57, 5247 (1998).
[CrossRef]

Larger, L.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Liu, Y.

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (R) (2000).
[CrossRef]

Luo, L. G.

Masoller, C.

C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
[CrossRef] [PubMed]

Mirasso, C. R.

P. S. Spencer, C. R. Mirasso, P. Colet, and K. A. Shore, IEEE J. Quantum Electron. 34, 1673 (1998).
[CrossRef]

Ohtsubo, J.

Pecora, L. M.

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

Porte, H.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Roy, R.

G. D. VanWiggeren and R. Roy, Science 279, 1198 (1998).
[CrossRef] [PubMed]

R. Roy and K. S. Thornburg Jr., Phys. Rev. Lett. 72, 2009 (1994).
[CrossRef] [PubMed]

Scire, A.

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 32, 953 (1996).
[CrossRef]

Shahverdiev, E. M.

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, Phys. Rev. Lett. 87, 154101 (2001).
[CrossRef]

Shimisu, T.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and T. Shimisu, Phys. Rev. Lett. 72, 3502 (1994).
[CrossRef] [PubMed]

Shore, K. A.

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, Phys. Rev. Lett. 87, 154101 (2001).
[CrossRef]

S. Sivaprakasam and K. A. Shore, IEEE J. Quantum Electron. 36, 35 (2000).
[CrossRef]

S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 466 (1999).
[CrossRef]

P. S. Spencer, C. R. Mirasso, P. Colet, and K. A. Shore, IEEE J. Quantum Electron. 34, 1673 (1998).
[CrossRef]

K. A. Shore and D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

Sivaprakasam, S.

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, Phys. Rev. Lett. 87, 154101 (2001).
[CrossRef]

S. Sivaprakasam and K. A. Shore, IEEE J. Quantum Electron. 36, 35 (2000).
[CrossRef]

S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 466 (1999).
[CrossRef]

Spencer, P. S.

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, Phys. Rev. Lett. 87, 154101 (2001).
[CrossRef]

P. S. Spencer, C. R. Mirasso, P. Colet, and K. A. Shore, IEEE J. Quantum Electron. 34, 1673 (1998).
[CrossRef]

Sugawara, T.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and T. Shimisu, Phys. Rev. Lett. 72, 3502 (1994).
[CrossRef] [PubMed]

Tachikawa, M.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and T. Shimisu, Phys. Rev. Lett. 72, 3502 (1994).
[CrossRef] [PubMed]

Tang, D. Y.

D. Y. Tang, R. Dykstra, M. W. Hamilton, and N. R. Heckenberg, Phys. Rev. E 57, 5247 (1998).
[CrossRef]

Thornburg Jr., K. S.

R. Roy and K. S. Thornburg Jr., Phys. Rev. Lett. 72, 2009 (1994).
[CrossRef] [PubMed]

Tsukamoto, T.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and T. Shimisu, Phys. Rev. Lett. 72, 3502 (1994).
[CrossRef] [PubMed]

VanWiggeren, G. D.

G. D. VanWiggeren and R. Roy, Science 279, 1198 (1998).
[CrossRef] [PubMed]

Voss, H. U.

H. U. Voss, Phys. Rev. E 61, 5115 (2000).
[CrossRef]

Wright, D. T.

K. A. Shore and D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

Electron. Lett.

K. A. Shore and D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

IEEE J. Quantum Electron.

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 32, 953 (1996).
[CrossRef]

P. S. Spencer, C. R. Mirasso, P. Colet, and K. A. Shore, IEEE J. Quantum Electron. 34, 1673 (1998).
[CrossRef]

S. Sivaprakasam and K. A. Shore, IEEE J. Quantum Electron. 36, 35 (2000).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. A

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (R) (2000).
[CrossRef]

Phys. Rev. E

H. U. Voss, Phys. Rev. E 61, 5115 (2000).
[CrossRef]

D. Y. Tang, R. Dykstra, M. W. Hamilton, and N. R. Heckenberg, Phys. Rev. E 57, 5247 (1998).
[CrossRef]

Phys. Rev. Lett.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

R. Roy and K. S. Thornburg Jr., Phys. Rev. Lett. 72, 2009 (1994).
[CrossRef] [PubMed]

T. Sugawara, M. Tachikawa, T. Tsukamoto, and T. Shimisu, Phys. Rev. Lett. 72, 3502 (1994).
[CrossRef] [PubMed]

C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
[CrossRef] [PubMed]

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, Phys. Rev. Lett. 87, 154101 (2001).
[CrossRef]

Science

G. D. VanWiggeren and R. Roy, Science 279, 1198 (1998).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Schematic diagram of the experiment. BS1–BS5, beam splitters; M1, M2, mirrors; OI1–OI3, optical isolators; HWP1, HWP2, half-wave plates; CA1s, coupling attenuators; PD1–PD3, photodetectors; NDF, neutral-density filter.

Fig. 2
Fig. 2

Time traces of the (a) transmitter, (b) mediator, and (c) receiver lasers’ output. The transmitter and mediator lasers’ time traces are shifted vertically for clarity. The vertical lines at 620, 735, and 925 ns allow comparison of the time evolution of the three lasers and demonstrate that the mediator laser is ahead of the other two lasers.

Fig. 3
Fig. 3

Synchronization diagrams. (a) Transmitter laser’s output versus mediator laser’s output. (b) Mediator laser’s output versus receiver laser’s output. (c) Transmitter laser’s output versus receiver laser’s output. The synchronization between the mediator and receiver laser is superior to that of the other two cases.

Fig. 4
Fig. 4

Dependence of the slope of the synchronization diagram for the transmitter and mediator lasers (squares) and for the mediator and receiver lasers (circles) with respect to the change in the mediator laser’s bias current. (Ith is 25 mA.)

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