Abstract

Synchronization of chaos generated in two Nd:YVO4 microchip lasers is experimentally demonstrated with master–slave coupling schemes. For synchronization of chaos, precise locking of the sustained relaxation-oscillation frequency is required, as is optical frequency locking. One needs to match both the pump-modulation parameters for chaos generation and the laser parameters of the two lasers to generate perfectly synchronized chaotic spectra in the master–slave type I coupling scheme.

© 1999 Optical Society of America

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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]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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1998 (5)

A. P. Napartovich and A. G. Sukharev, Quantum Electron. 28, 81 (1998).
[CrossRef]

G. D. Van Wiggeren and R. Roy, Phys. Rev. Lett. 81, 3547 (1998).
[CrossRef]

L. Larger, J.-P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).
[CrossRef]

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

A. Uchida, T. Ogawa, and F. Kannari, Jpn. J. Appl. Phys. Part 2 37, L730 (1998).
[CrossRef]

1997 (2)

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Phys. Rev. E 56, 6302 (1997).
[CrossRef]

1996 (3)

D. Y. Tang, R. Dykstra, and N. R. Heckenberg, Phys. Rev. A 54, 5317 (1996).
[CrossRef] [PubMed]

C. R. Mirasso, P. Colet, and P.-G. Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

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

1994 (4)

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

P. Colet and R. Roy, Opt. Lett. 19, 2056 (1994).
[CrossRef] [PubMed]

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

Y. Liu, P. C. de Oliveira, M. B. Danailov, and J. R. Rios Leite, Phys. Rev. A 50, 3464 (1994).
[CrossRef] [PubMed]

1993 (1)

K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

1991 (1)

1990 (1)

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

Alsing, P. M.

P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Phys. Rev. E 56, 6302 (1997).
[CrossRef]

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]

Colet, P.

C. R. Mirasso, P. Colet, and P.-G. Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

P. Colet and R. Roy, Opt. Lett. 19, 2056 (1994).
[CrossRef] [PubMed]

Cuomo, K. M.

K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

Danailov, M. B.

Y. Liu, P. C. de Oliveira, M. B. Danailov, and J. R. Rios Leite, Phys. Rev. A 50, 3464 (1994).
[CrossRef] [PubMed]

de Oliveira, P. C.

Y. Liu, P. C. de Oliveira, M. B. Danailov, and J. R. Rios Leite, Phys. Rev. A 50, 3464 (1994).
[CrossRef] [PubMed]

Delorme, F.

L. Larger, J.-P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).
[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]

D. Y. Tang, R. Dykstra, and N. R. Heckenberg, Phys. Rev. A 54, 5317 (1996).
[CrossRef] [PubMed]

Erneux, T.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Fernandez, P.-G.

C. R. Mirasso, P. Colet, and P.-G. Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Gavrielides, A.

P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Phys. Rev. E 56, 6302 (1997).
[CrossRef]

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Goedgebuer, J.-P.

L. Larger, J.-P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (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]

D. Y. Tang, R. Dykstra, and N. R. Heckenberg, Phys. Rev. A 54, 5317 (1996).
[CrossRef] [PubMed]

Hohl, A.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Kannari, F.

A. Uchida, T. Ogawa, and F. Kannari, Jpn. J. Appl. Phys. Part 2 37, L730 (1998).
[CrossRef]

Kobayashi, T.

Kovanis, V.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Phys. Rev. E 56, 6302 (1997).
[CrossRef]

Larger, L.

L. Larger, J.-P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).
[CrossRef]

Liu, Y.

Y. Liu, P. C. de Oliveira, M. B. Danailov, and J. R. Rios Leite, Phys. Rev. A 50, 3464 (1994).
[CrossRef] [PubMed]

Mirasso, C. R.

C. R. Mirasso, P. Colet, and P.-G. Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Mukai, A.

Napartovich, A. P.

A. P. Napartovich and A. G. Sukharev, Quantum Electron. 28, 81 (1998).
[CrossRef]

Nozawa, Y.

Ogawa, T.

A. Uchida, T. Ogawa, and F. Kannari, Jpn. J. Appl. Phys. Part 2 37, L730 (1998).
[CrossRef]

Oppenheim, A. V.

K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

Pecora, L. M.

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

Rios Leite, J. R.

Y. Liu, P. C. de Oliveira, M. B. Danailov, and J. R. Rios Leite, Phys. Rev. A 50, 3464 (1994).
[CrossRef] [PubMed]

Roy, R.

G. D. Van Wiggeren and R. Roy, Phys. Rev. Lett. 81, 3547 (1998).
[CrossRef]

P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Phys. Rev. E 56, 6302 (1997).
[CrossRef]

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

P. Colet and R. Roy, Opt. Lett. 19, 2056 (1994).
[CrossRef] [PubMed]

Scire, A.

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

Shimizu, T.

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

Sugawara, T.

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

Sukharev, A. G.

A. P. Napartovich and A. G. Sukharev, Quantum Electron. 28, 81 (1998).
[CrossRef]

Tachikawa, M.

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

Taira, T.

Tang, D. Y.

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

D. Y. Tang, R. Dykstra, and N. R. Heckenberg, Phys. Rev. A 54, 5317 (1996).
[CrossRef] [PubMed]

Thornburg, K. S.

P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Phys. Rev. E 56, 6302 (1997).
[CrossRef]

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

Tsukamoto, T.

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

Uchida, A.

A. Uchida, T. Ogawa, and F. Kannari, Jpn. J. Appl. Phys. Part 2 37, L730 (1998).
[CrossRef]

Van Wiggeren, G. D.

G. D. Van Wiggeren and R. Roy, Phys. Rev. Lett. 81, 3547 (1998).
[CrossRef]

IEEE J. Quantum Electron. (1)

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

IEEE Photon. Technol. Lett. (1)

C. R. Mirasso, P. Colet, and P.-G. Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Jpn. J. Appl. Phys. Part 2 (1)

A. Uchida, T. Ogawa, and F. Kannari, Jpn. J. Appl. Phys. Part 2 37, L730 (1998).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (2)

Y. Liu, P. C. de Oliveira, M. B. Danailov, and J. R. Rios Leite, Phys. Rev. A 50, 3464 (1994).
[CrossRef] [PubMed]

D. Y. Tang, R. Dykstra, and N. R. Heckenberg, Phys. Rev. A 54, 5317 (1996).
[CrossRef] [PubMed]

Phys. Rev. E (3)

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

P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Phys. Rev. E 56, 6302 (1997).
[CrossRef]

L. Larger, J.-P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).
[CrossRef]

Phys. Rev. Lett. (6)

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

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

K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

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

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

G. D. Van Wiggeren and R. Roy, Phys. Rev. Lett. 81, 3547 (1998).
[CrossRef]

Quantum Electron. (1)

A. P. Napartovich and A. G. Sukharev, Quantum Electron. 28, 81 (1998).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for chaos synchronization in two Nd:YVO4 microchip lasers (with MS-1): BS’s, beam splitters; L’s, lenses; M’s, mirrors; VA, variable attenuator; LD’s, laser diodes; MCL’s, Nd:YVO4 microchip lasers; PL’s, Peltier devices; IS, isolator; PD’s, photodiodes; FC, fiber coupler; PM’s, pump modulators; λ/2 WP, λ/2-wave plate; F-P, Fabry–Perot etalon.

Fig. 2
Fig. 2

Experimentally obtained chaotic temporal waveforms and correlation plots for the two laser outputs (a), (b) without synchronization and (c), (d) with synchronization.

Fig. 3
Fig. 3

Variances of the correlation plots of the two laser outputs from the best-fit linear relation as functions of the injected power of the master laser.

Fig. 4
Fig. 4

Variances as a function of the pump-modulation amplitude of the slave laser with MS-1. The modulation amplitude of the master laser is kept at 53%.

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