Abstract

The response of a polarization-bistable vertical cavity surface emitting laser to a small amplitude, pseudorandom binary signal is experimentally studied. A high-contrast output is obtained when the optimum amount of noise is added to the system. The quality of the transmission, measured by the bit-error rate, exhibits a resonantlike behavior as a function of the input noise. We analyze possible applications of this transmission scheme to optical communications and compare it with those used in a standard amplitude modulation scheme.

© 2000 Optical Society of America

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References

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  1. K. D. Choquette, D. A. Richie, and R. E. Leibenguth, Appl. Phys. Lett. 64, 2062 (1994).
    [CrossRef]
  2. J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
    [CrossRef]
  3. M. San Miguel, Q. Feng, and J. V. Moloney, Phys. Rev. A 52, 1728 (1995).
    [CrossRef] [PubMed]
  4. M. Willemsen, M. Khalid, M. van Exter, and J. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
    [CrossRef]
  5. G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
    [CrossRef]
  6. G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Marin, Phys. Rev. E 61, 157 (2000).
    [CrossRef]
  7. S. Barbay, G. Giacomelli, and F. Marin, “Un procedimento ed un dispositivo di trasmissione ottica di informazioni codificate,” Italianpatent, February15, 2000.
  8. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, 453 (1981); C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).
    [CrossRef]
  9. H. Kramers, Physica (Utrecht) 7, 284 (1940).
    [CrossRef]
  10. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
    [CrossRef]

1999 (2)

M. Willemsen, M. Khalid, M. van Exter, and J. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
[CrossRef]

G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Marin, Phys. Rev. E 61, 157 (2000).
[CrossRef]

1998 (2)

L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
[CrossRef]

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

1996 (1)

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

1995 (1)

M. San Miguel, Q. Feng, and J. V. Moloney, Phys. Rev. A 52, 1728 (1995).
[CrossRef] [PubMed]

1994 (1)

K. D. Choquette, D. A. Richie, and R. E. Leibenguth, Appl. Phys. Lett. 64, 2062 (1994).
[CrossRef]

1981 (1)

R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, 453 (1981); C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).
[CrossRef]

1940 (1)

H. Kramers, Physica (Utrecht) 7, 284 (1940).
[CrossRef]

Barbay, S.

S. Barbay, G. Giacomelli, and F. Marin, “Un procedimento ed un dispositivo di trasmissione ottica di informazioni codificate,” Italianpatent, February15, 2000.

Benzi, R.

R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, 453 (1981); C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).
[CrossRef]

Choquette, K. D.

K. D. Choquette, D. A. Richie, and R. E. Leibenguth, Appl. Phys. Lett. 64, 2062 (1994).
[CrossRef]

Epler, J. E.

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

Feng, Q.

M. San Miguel, Q. Feng, and J. V. Moloney, Phys. Rev. A 52, 1728 (1995).
[CrossRef] [PubMed]

Gabrysch, M.

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

Gammaitoni, L.

L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
[CrossRef]

Gehrsitz, S.

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

Giacomelli, G.

G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Marin, Phys. Rev. E 61, 157 (2000).
[CrossRef]

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

S. Barbay, G. Giacomelli, and F. Marin, “Un procedimento ed un dispositivo di trasmissione ottica di informazioni codificate,” Italianpatent, February15, 2000.

Gulden, K. H.

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

Hänggi, P.

L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
[CrossRef]

Jung, P.

L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
[CrossRef]

Khalid, M.

M. Willemsen, M. Khalid, M. van Exter, and J. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
[CrossRef]

Kramers, H.

H. Kramers, Physica (Utrecht) 7, 284 (1940).
[CrossRef]

Lehmann, H. W.

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

Leibenguth, R. E.

K. D. Choquette, D. A. Richie, and R. E. Leibenguth, Appl. Phys. Lett. 64, 2062 (1994).
[CrossRef]

Marchesoni, F.

L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
[CrossRef]

Marin, F.

G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Marin, Phys. Rev. E 61, 157 (2000).
[CrossRef]

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

S. Barbay, G. Giacomelli, and F. Marin, “Un procedimento ed un dispositivo di trasmissione ottica di informazioni codificate,” Italianpatent, February15, 2000.

Moloney, J. V.

M. San Miguel, Q. Feng, and J. V. Moloney, Phys. Rev. A 52, 1728 (1995).
[CrossRef] [PubMed]

Moser, M.

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

Rabbiosi, I.

G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Marin, Phys. Rev. E 61, 157 (2000).
[CrossRef]

Richie, D. A.

K. D. Choquette, D. A. Richie, and R. E. Leibenguth, Appl. Phys. Lett. 64, 2062 (1994).
[CrossRef]

San Miguel, M.

M. San Miguel, Q. Feng, and J. V. Moloney, Phys. Rev. A 52, 1728 (1995).
[CrossRef] [PubMed]

Sigg, H. C.

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

Sutera, A.

R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, 453 (1981); C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).
[CrossRef]

van Exter, M.

M. Willemsen, M. Khalid, M. van Exter, and J. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
[CrossRef]

Vulpiani, A.

R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, 453 (1981); C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).
[CrossRef]

Willemsen, M.

M. Willemsen, M. Khalid, M. van Exter, and J. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
[CrossRef]

Woerdman, J.

M. Willemsen, M. Khalid, M. van Exter, and J. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
[CrossRef]

Appl. Phys. Lett. (2)

K. D. Choquette, D. A. Richie, and R. E. Leibenguth, Appl. Phys. Lett. 64, 2062 (1994).
[CrossRef]

J. E. Epler, S. Gehrsitz, K. H. Gulden, M. Moser, H. C. Sigg, and H. W. Lehmann, Appl. Phys. Lett. 69, 722 (1996).
[CrossRef]

J. Phys. A (1)

R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, 453 (1981); C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).
[CrossRef]

Opt. Commun. (1)

G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); F. Marin and G. Giacomelli, J. Opt. B 1, 128 (1999); G. Giacomelli and F. Marin, Quantum Semiclassic. Opt. 10, 469 (1998).
[CrossRef]

Phys. Rev. A (1)

M. San Miguel, Q. Feng, and J. V. Moloney, Phys. Rev. A 52, 1728 (1995).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

M. Willemsen, M. Khalid, M. van Exter, and J. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
[CrossRef]

G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Marin, Phys. Rev. E 61, 157 (2000).
[CrossRef]

Physica (Utrecht) (1)

H. Kramers, Physica (Utrecht) 7, 284 (1940).
[CrossRef]

Rev. Mod. Phys. (1)

L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
[CrossRef]

Other (1)

S. Barbay, G. Giacomelli, and F. Marin, “Un procedimento ed un dispositivo di trasmissione ottica di informazioni codificate,” Italianpatent, February15, 2000.

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Figures (3)

Fig. 1
Fig. 1

Polarized laser intensity signal for several input noise values: (a) 0.07, (b) 0.14, (c) 0.30, (d) 0.52, and (e) 0.78   mA rms . The input power on the photodetector is - 10   dBm . (c) Shows (thinner curve) the input sequence, with an arbitrary vertical scale.

Fig. 2
Fig. 2

BER as a function of the input noise in the bistable case. The input power on the photodetector is - 10   dBm (filled circles) and - 65   dBm (open circles).

Fig. 3
Fig. 3

Polarized laser intensity signal: (a) linear case (detected power, - 45   dBm ), (b) bistable case (detected power, - 65   dBm ). The input noise is 0.06   mA rms in (a) and 0.30   mA rms in (b).

Equations (1)

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BER = 1 4 erfc v 1 - v d 2 σ 1 + erfc v d - v 0 2 σ 0 ,

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