Abstract

We propose a secure communication scheme based on anticipating synchronization of two chaotic laser diodes, one subject to incoherent optical feedback and the other to incoherent optical injection. This scheme does not require fine tuning of the optical frequencies of both lasers as is the case for other schemes based on chaotic laser diodes subject to coherent optical feedback and injection. Our secure communication scheme is therefore attractive for experimental investigation.

© 2001 Optical Society of America

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  1. L. M. Pecora and T. L. Carrol, Phys. Rev. Lett. 64, 821 (1990).
    [CrossRef] [PubMed]
  2. K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
    [CrossRef] [PubMed]
  3. J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
    [CrossRef]
  4. G. D. Van Wiggeren and R. Roy, Science 279, 1198 (1998).
    [CrossRef]
  5. C. R. Mirasso, P. Colet, and P. García-Fernández, IEEE Photon. Technol. Lett. 8, 299 (1996).
    [CrossRef]
  6. V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
    [CrossRef]
  7. Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
    [CrossRef]
  8. J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
    [CrossRef]
  9. J. Houlihan, G. Huyet, and J. G. McInerney, in Proceedings of LEOS 2000 (IEEE Lasers and Electro-Optics Society, Piscataway, N.J., 2000), p. 68.
  10. H. U. Voss, Phys. Rev. E 61, 5115 (2000).
    [CrossRef]
  11. H. Dedieu, M. P. Kennedy, and M. Hasler, IEEE Trans. Circuits Syst. II 40, 634 (1993).
  12. V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
    [CrossRef]
  13. C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
    [CrossRef] [PubMed]
  14. G. P. Agrawal and N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).
    [CrossRef]

2001 (2)

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

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

2000 (1)

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

1998 (3)

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

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

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

1997 (1)

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

1996 (1)

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

1993 (3)

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

H. Dedieu, M. P. Kennedy, and M. Hasler, IEEE Trans. Circuits Syst. II 40, 634 (1993).

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

1990 (1)

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

Agrawal, G. P.

G. P. Agrawal and N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).
[CrossRef]

Ahlers, V.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Aida, T.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Annovazzi-Lodi, V.

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

Carrol, T. L.

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

Chen, H. F.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Chern, J.-L.

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

Colet, P.

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

Cuomo, K. M.

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

Davis, P.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Dedieu, H.

H. Dedieu, M. P. Kennedy, and M. Hasler, IEEE Trans. Circuits Syst. II 40, 634 (1993).

Donati, S.

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

Dutta, N. K.

G. P. Agrawal and N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).
[CrossRef]

García-Fernández, P.

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

Goedgebuer, J. P.

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

Hasler, M.

H. Dedieu, M. P. Kennedy, and M. Hasler, IEEE Trans. Circuits Syst. II 40, 634 (1993).

Houlihan, J.

J. Houlihan, G. Huyet, and J. G. McInerney, in Proceedings of LEOS 2000 (IEEE Lasers and Electro-Optics Society, Piscataway, N.J., 2000), p. 68.

Huyet, G.

J. Houlihan, G. Huyet, and J. G. McInerney, in Proceedings of LEOS 2000 (IEEE Lasers and Electro-Optics Society, Piscataway, N.J., 2000), p. 68.

Ishiyama, F.

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

Kennedy, M. P.

H. Dedieu, M. P. Kennedy, and M. Hasler, IEEE Trans. Circuits Syst. II 40, 634 (1993).

Larger, L.

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

Lauterborn, W.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Liu, J. M.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Liu, Y.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Masoller, C.

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

McInerney, J. G.

J. Houlihan, G. Huyet, and J. G. McInerney, in Proceedings of LEOS 2000 (IEEE Lasers and Electro-Optics Society, Piscataway, N.J., 2000), p. 68.

Mirasso, C. R.

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

Oppenheim, A. V.

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

Otsuka, K.

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

Parlitz, U.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Pecora, L. M.

L. M. Pecora and T. L. Carrol, 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. Van Wiggeren and R. Roy, Science 279, 1198 (1998).
[CrossRef]

Scire, A.

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

Van Wiggeren, G. D.

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

Voss, H. U.

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

IEEE J. Quantum Electron. (1)

V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

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

IEEE Trans. Circuits Syst. II (1)

H. Dedieu, M. P. Kennedy, and M. Hasler, IEEE Trans. Circuits Syst. II 40, 634 (1993).

Opt. Commun. (1)

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

Phys. Rev. A (1)

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Phys. Rev. E (2)

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

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

Phys. Rev. Lett. (4)

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

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

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

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

Science (1)

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

Other (2)

J. Houlihan, G. Huyet, and J. G. McInerney, in Proceedings of LEOS 2000 (IEEE Lasers and Electro-Optics Society, Piscataway, N.J., 2000), p. 68.

G. P. Agrawal and N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic representation of the secure communication scheme. See text for definitions.

Fig. 2
Fig. 2

(a) Output of the transmitter shifted by Δt. (b) Output of the receiver laser. (c) Synchronization diagram of the receiver output, P2t, versus the transmitter output, P1t-Δt. The laser parameters are identical, and the injection current at the transmitter is not modulated. The stochastic terms F1,2t are taken into account.

Fig. 3
Fig. 3

(a) Encoded message at a bit rate of 250  Mbits/s. (b) Synchronization error after filtering.

Equations (5)

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

dP1dt=G1-1τp1P1t+β1N1t+F1t,
dN1dt=I1te-N1tτs1-G1P1t+κP1t-τ,
dP2dt=G2-1τp2P2t+β2N2t+F2t,
dN2dt=I2e-N2tτs2-G2P2t+σP1t-τc,
P2t=P1t-Δt,N2t=N1t-Δt,

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