Abstract

We demonstrate wavelength division multiplexing with chaotic subcarriers in two pairs of one-way-coupled Nd:YVO4 microchip lasers. Two individual digital messages are encoded on two chaotic carriers with different wavelengths in two transmitters by the chaotic masking method, and the mixed signals are sent to two receivers. Dual synchronization of chaos is used to obtain the original chaotic waveforms in the receivers. Two messages are decoded by filtering the difference of the laser outputs between the transmitter and the receiver by use of a low-pass filter for each pair of lasers. The message recovery can be achieved more easily when messages with small amplitude and low frequency are used.

© 2004 Optical Society of America

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  1. G. D. VanWiggeren and R. Roy, Science 279, 1198 (1998).
    [CrossRef] [PubMed]
  2. J.-P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
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  3. J. M. Liu, H. F. Chen, and S. Tang, IEEE J. Quantum Electron. 38, 1184 (2002).
    [CrossRef]
  4. J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
    [CrossRef]
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    [CrossRef]
  6. C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
    [CrossRef]
  7. N. Joly, D. Derozier, I. Razdobreev, and S. Bielawski, Opt. Commun. 223, 181 (2003).
    [CrossRef]
  8. J. Paul, S. Sivaprakasam, and K. A. Shore, J. Opt. Soc. Am. B 21, 514 (2004).
    [CrossRef]
  9. L. S. Tsimring and M. M. Sushchik, Phys. Lett. A 213, 155 (1996).
    [CrossRef]
  10. Y. Liu and P. Davis, Phys. Rev. E 61, R2176 (2000).
    [CrossRef]
  11. E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, Opt. Commun. 216, 179 (2003).
    [CrossRef]
  12. A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Opt. Lett. 28, 19 (2003).
    [CrossRef] [PubMed]
  13. A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Phys. Rev. E 67, 026220 (2003).
    [CrossRef]
  14. A. Uchida, M. Kawano, and S. Yoshimori, Phys. Rev. E 68, 056207 (2003).
    [CrossRef]
  15. S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 1200 (1999).
    [CrossRef]
  16. I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801(R) (2000).
    [CrossRef]
  17. K. Kusumoto and J. Ohtsubo, Opt. Lett. 27, 989 (2002).
    [CrossRef]
  18. A. Uchida, Y. Liu, and P. Davis, IEEE J. Quantum Electron. 39, 963 (2003).
    [CrossRef]
  19. T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
    [CrossRef]

2004 (1)

2003 (8)

L. Wu and S. Zhu, Phys. Lett. A 308, 157 (2003).
[CrossRef]

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

N. Joly, D. Derozier, I. Razdobreev, and S. Bielawski, Opt. Commun. 223, 181 (2003).
[CrossRef]

E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, Opt. Commun. 216, 179 (2003).
[CrossRef]

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Opt. Lett. 28, 19 (2003).
[CrossRef] [PubMed]

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Phys. Rev. E 67, 026220 (2003).
[CrossRef]

A. Uchida, M. Kawano, and S. Yoshimori, Phys. Rev. E 68, 056207 (2003).
[CrossRef]

A. Uchida, Y. Liu, and P. Davis, IEEE J. Quantum Electron. 39, 963 (2003).
[CrossRef]

2002 (3)

T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
[CrossRef]

J. M. Liu, H. F. Chen, and S. Tang, IEEE J. Quantum Electron. 38, 1184 (2002).
[CrossRef]

K. Kusumoto and J. Ohtsubo, Opt. Lett. 27, 989 (2002).
[CrossRef]

2000 (2)

Y. Liu and P. Davis, Phys. Rev. E 61, R2176 (2000).
[CrossRef]

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

1999 (2)

S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 1200 (1999).
[CrossRef]

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

1998 (2)

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]

1996 (1)

L. S. Tsimring and M. M. Sushchik, Phys. Lett. A 213, 155 (1996).
[CrossRef]

Bielawski, S.

N. Joly, D. Derozier, I. Razdobreev, and S. Bielawski, Opt. Commun. 223, 181 (2003).
[CrossRef]

Chen, H. F.

J. M. Liu, H. F. Chen, and S. Tang, IEEE J. Quantum Electron. 38, 1184 (2002).
[CrossRef]

Davis, P.

A. Uchida, Y. Liu, and P. Davis, IEEE J. Quantum Electron. 39, 963 (2003).
[CrossRef]

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

Y. Liu and P. Davis, Phys. Rev. E 61, R2176 (2000).
[CrossRef]

Derozier, D.

N. Joly, D. Derozier, I. Razdobreev, and S. Bielawski, Opt. Commun. 223, 181 (2003).
[CrossRef]

Fischer, I.

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

Goedgebuer, J.-P.

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

Huang, S. T.

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

Hwang, T. M.

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

Joly, N.

N. Joly, D. Derozier, I. Razdobreev, and S. Bielawski, Opt. Commun. 223, 181 (2003).
[CrossRef]

Juang, C.

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

Juang, J.

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

Kannari, F.

T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
[CrossRef]

Kawano, M.

A. Uchida, M. Kawano, and S. Yoshimori, Phys. Rev. E 68, 056207 (2003).
[CrossRef]

Kinugawa, S.

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Opt. Lett. 28, 19 (2003).
[CrossRef] [PubMed]

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Phys. Rev. E 67, 026220 (2003).
[CrossRef]

Kusumoto, K.

Larger, L.

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

Lin, W. W.

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

Liu, C. Y.

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

Liu, J. M.

J. M. Liu, H. F. Chen, and S. Tang, IEEE J. Quantum Electron. 38, 1184 (2002).
[CrossRef]

Liu, Y.

A. Uchida, Y. Liu, and P. Davis, IEEE J. Quantum Electron. 39, 963 (2003).
[CrossRef]

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

Y. Liu and P. Davis, Phys. Rev. E 61, R2176 (2000).
[CrossRef]

Matsuura, T.

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Phys. Rev. E 67, 026220 (2003).
[CrossRef]

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Opt. Lett. 28, 19 (2003).
[CrossRef] [PubMed]

Moloney, J. V.

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

Ogawa, T.

T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
[CrossRef]

Ohtsubo, J.

Paul, J.

Porte, H.

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

Razdobreev, I.

N. Joly, D. Derozier, I. Razdobreev, and S. Bielawski, Opt. Commun. 223, 181 (2003).
[CrossRef]

Roy, R.

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

Shahverdiev, E. M.

E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, Opt. Commun. 216, 179 (2003).
[CrossRef]

Shinozuka, M.

T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
[CrossRef]

Shore, K. A.

Sivaprakasam, S.

Sushchik, M. M.

L. S. Tsimring and M. M. Sushchik, Phys. Lett. A 213, 155 (1996).
[CrossRef]

Tang, S.

J. M. Liu, H. F. Chen, and S. Tang, IEEE J. Quantum Electron. 38, 1184 (2002).
[CrossRef]

Tsimring, L. S.

L. S. Tsimring and M. M. Sushchik, Phys. Lett. A 213, 155 (1996).
[CrossRef]

Uchida, A.

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Opt. Lett. 28, 19 (2003).
[CrossRef] [PubMed]

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Phys. Rev. E 67, 026220 (2003).
[CrossRef]

A. Uchida, M. Kawano, and S. Yoshimori, Phys. Rev. E 68, 056207 (2003).
[CrossRef]

A. Uchida, Y. Liu, and P. Davis, IEEE J. Quantum Electron. 39, 963 (2003).
[CrossRef]

T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
[CrossRef]

VanWiggeren, G. D.

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

Wang, W. C.

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

White, J. K.

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

Wu, L.

L. Wu and S. Zhu, Phys. Lett. A 308, 157 (2003).
[CrossRef]

Yoshimori, S.

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Phys. Rev. E 67, 026220 (2003).
[CrossRef]

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Opt. Lett. 28, 19 (2003).
[CrossRef] [PubMed]

A. Uchida, M. Kawano, and S. Yoshimori, Phys. Rev. E 68, 056207 (2003).
[CrossRef]

T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
[CrossRef]

Zhu, S.

L. Wu and S. Zhu, Phys. Lett. A 308, 157 (2003).
[CrossRef]

IEEE J. Quantum Electron. (3)

J. M. Liu, H. F. Chen, and S. Tang, IEEE J. Quantum Electron. 38, 1184 (2002).
[CrossRef]

C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang, and W. W. Lin, IEEE J. Quantum Electron. 39, 1321 (2003).
[CrossRef]

A. Uchida, Y. Liu, and P. Davis, IEEE J. Quantum Electron. 39, 963 (2003).
[CrossRef]

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

Jpn. J. Appl. Phys. (1)

T. Ogawa, A. Uchida, M. Shinozuka, S. Yoshimori, and F. Kannari, Jpn. J. Appl. Phys. 41, L1309 (2002).
[CrossRef]

Opt. Commun. (2)

N. Joly, D. Derozier, I. Razdobreev, and S. Bielawski, Opt. Commun. 223, 181 (2003).
[CrossRef]

E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, Opt. Commun. 216, 179 (2003).
[CrossRef]

Opt. Lett. (3)

Phys. Lett. A (2)

L. Wu and S. Zhu, Phys. Lett. A 308, 157 (2003).
[CrossRef]

L. S. Tsimring and M. M. Sushchik, Phys. Lett. A 213, 155 (1996).
[CrossRef]

Phys. Rev. A (2)

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

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

Phys. Rev. E (3)

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, Phys. Rev. E 67, 026220 (2003).
[CrossRef]

A. Uchida, M. Kawano, and S. Yoshimori, Phys. Rev. E 68, 056207 (2003).
[CrossRef]

Y. Liu and P. Davis, Phys. Rev. E 61, R2176 (2000).
[CrossRef]

Phys. Rev. Lett. (1)

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

Science (1)

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

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for CWDM with microchip lasers: AOM, acousto-optic modulator; BS, beam splitter; IS, optical isolator; L, lens; LD, laser diode; M, mirror; MCL, Nd:YVO4 microchip laser; PD, photodiode; PM, pump modulation; S, subtractor; VA, variable attenuator; WF, wavelength filter.

Fig. 2
Fig. 2

Experimental results showing (a), (b) temporal waveforms of the transmitter output with the digital message and the synchronized receiver output. (c), (d) Temporal waveforms of the difference between the transmitter and receiver outputs shown in (a) and (b). (e), (f) Temporal waveforms of the original message and the decoded message obtained by filtering the signals in Figs. 2(c) and 2(d) with a low-pass filter.

Fig. 3
Fig. 3

Numerical results showing temporal waveforms of the original message and the decoded message obtained by filtering the difference between the chaotic transmitter and receiver outputs with a low-pass filter.

Fig. 4
Fig. 4

Decoding error as functions of (a) modulation amplitude and (b) modulation frequency. The message recovery can be achieved more easily in the small-amplitude and low-frequency regions.

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