Abstract

All-optical signal-to-noise ratio improvements by stochastic resonance have been obtained by use of the intensity bistability of a unidirectional photorefractive ring resonator. A signal-to-noise ratio gain of 10.5 dB has been obtained with a near-unity signal-to-noise ratio input signal at 6 mHz.

© 1996 Optical Society of America

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  1. L. Gammaitoni, F. Marchesoni, S. SantucciPhys. Rev. Lett. 74, 1052 (1995).
    [CrossRef] [PubMed]
  2. H. Gang, H. Haken, C. Z. NingPhys. Lett. A 172, 21 (1992);Phys. Rev. E 47, 2321 (1993).
    [CrossRef]
  3. B. McNamara, K. Wiesenfeld, R. RoyPhys. Rev. Lett. 60, 2626 (1988).
    [CrossRef] [PubMed]
  4. G. Vemuri, R. RoyPhys. Rev. A 39, 4668 (1989).
    [CrossRef] [PubMed]
  5. T. Zhou, F. MossPhys. Rev. A 41, 4255 (1990).
    [CrossRef] [PubMed]
  6. H. Gang, G. R. Qing, D. C. Gong, X. D. WangPhys. Rev. A 44, 6414 (1991).
    [CrossRef] [PubMed]
  7. D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
    [CrossRef]
  8. J. K. Douglass, L. Wilkens, E. Pantazelou, F. MossNature (London) 365, 337 (1993).
    [CrossRef] [PubMed]
  9. H. A. Braun, H. Wissing, K. Schafer, M. C. HirschNature (London) 367, 270 (1994).
    [CrossRef] [PubMed]
  10. A. Fioretti, L. Guidoni, R. Mannella, E. ArimondoJ. Stat. Phys. 70, 403 (1993).
    [CrossRef]
  11. J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
    [CrossRef] [PubMed]
  12. J. M. Ianelli, A. Yariv, T. R. Chen, Y. H. ZhuangAppl. Phys. Lett. 65, 1983 (1994).
    [CrossRef]
  13. J. P. Sharpe, D. C. O’Brien, G. Moddelin Spatial Light Modulators and Applications, Vol. 9 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 65.
  14. B. McNamara, K. WiesenfeldPhys. Rev. A 39, 4854 (1989).
    [CrossRef] [PubMed]
  15. P. Jung, P. HanggiPhys. Rev. A 44, 8032 (1991).
    [CrossRef] [PubMed]
  16. S. Weiss, B. FischerOpt. Quantum Electron. 22, 17 (1990).
    [CrossRef]
  17. B. M. Jost“Photorefractive two-wave mixing bistability without external feedback: increasing gain bistability,” submitted to Opt. Lett.
  18. B. M. Jost, B. E. A. SalehJ. Opt. Soc. Am. B 11, 1864 (1994).
    [CrossRef]

1995 (1)

L. Gammaitoni, F. Marchesoni, S. SantucciPhys. Rev. Lett. 74, 1052 (1995).
[CrossRef] [PubMed]

1994 (4)

H. A. Braun, H. Wissing, K. Schafer, M. C. HirschNature (London) 367, 270 (1994).
[CrossRef] [PubMed]

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

J. M. Ianelli, A. Yariv, T. R. Chen, Y. H. ZhuangAppl. Phys. Lett. 65, 1983 (1994).
[CrossRef]

B. M. Jost, B. E. A. SalehJ. Opt. Soc. Am. B 11, 1864 (1994).
[CrossRef]

1993 (2)

J. K. Douglass, L. Wilkens, E. Pantazelou, F. MossNature (London) 365, 337 (1993).
[CrossRef] [PubMed]

A. Fioretti, L. Guidoni, R. Mannella, E. ArimondoJ. Stat. Phys. 70, 403 (1993).
[CrossRef]

1992 (2)

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

H. Gang, H. Haken, C. Z. NingPhys. Lett. A 172, 21 (1992);Phys. Rev. E 47, 2321 (1993).
[CrossRef]

1991 (2)

H. Gang, G. R. Qing, D. C. Gong, X. D. WangPhys. Rev. A 44, 6414 (1991).
[CrossRef] [PubMed]

P. Jung, P. HanggiPhys. Rev. A 44, 8032 (1991).
[CrossRef] [PubMed]

1990 (2)

S. Weiss, B. FischerOpt. Quantum Electron. 22, 17 (1990).
[CrossRef]

T. Zhou, F. MossPhys. Rev. A 41, 4255 (1990).
[CrossRef] [PubMed]

1989 (2)

G. Vemuri, R. RoyPhys. Rev. A 39, 4668 (1989).
[CrossRef] [PubMed]

B. McNamara, K. WiesenfeldPhys. Rev. A 39, 4854 (1989).
[CrossRef] [PubMed]

1988 (1)

B. McNamara, K. Wiesenfeld, R. RoyPhys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Apanasevich, S.

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

Arimondo, E.

A. Fioretti, L. Guidoni, R. Mannella, E. ArimondoJ. Stat. Phys. 70, 403 (1993).
[CrossRef]

Braun, H. A.

H. A. Braun, H. Wissing, K. Schafer, M. C. HirschNature (London) 367, 270 (1994).
[CrossRef] [PubMed]

Burak, D.

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

Chen, T. R.

J. M. Ianelli, A. Yariv, T. R. Chen, Y. H. ZhuangAppl. Phys. Lett. 65, 1983 (1994).
[CrossRef]

Douglass, J. K.

J. K. Douglass, L. Wilkens, E. Pantazelou, F. MossNature (London) 365, 337 (1993).
[CrossRef] [PubMed]

Dykman, M. I.

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

Fioretti, A.

A. Fioretti, L. Guidoni, R. Mannella, E. ArimondoJ. Stat. Phys. 70, 403 (1993).
[CrossRef]

Fischer, B.

S. Weiss, B. FischerOpt. Quantum Electron. 22, 17 (1990).
[CrossRef]

Gammaitoni, L.

L. Gammaitoni, F. Marchesoni, S. SantucciPhys. Rev. Lett. 74, 1052 (1995).
[CrossRef] [PubMed]

Gang, H.

H. Gang, H. Haken, C. Z. NingPhys. Lett. A 172, 21 (1992);Phys. Rev. E 47, 2321 (1993).
[CrossRef]

H. Gang, G. R. Qing, D. C. Gong, X. D. WangPhys. Rev. A 44, 6414 (1991).
[CrossRef] [PubMed]

Golubev, G. P.

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

Gong, D. C.

H. Gang, G. R. Qing, D. C. Gong, X. D. WangPhys. Rev. A 44, 6414 (1991).
[CrossRef] [PubMed]

Grohs, J.

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

Guidoni, L.

A. Fioretti, L. Guidoni, R. Mannella, E. ArimondoJ. Stat. Phys. 70, 403 (1993).
[CrossRef]

Haken, H.

H. Gang, H. Haken, C. Z. NingPhys. Lett. A 172, 21 (1992);Phys. Rev. E 47, 2321 (1993).
[CrossRef]

Hanggi, P.

P. Jung, P. HanggiPhys. Rev. A 44, 8032 (1991).
[CrossRef] [PubMed]

Hirsch, M. C.

H. A. Braun, H. Wissing, K. Schafer, M. C. HirschNature (London) 367, 270 (1994).
[CrossRef] [PubMed]

Ianelli, J. M.

J. M. Ianelli, A. Yariv, T. R. Chen, Y. H. ZhuangAppl. Phys. Lett. 65, 1983 (1994).
[CrossRef]

Ibler, H.

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

Jost, B. M.

B. M. Jost, B. E. A. SalehJ. Opt. Soc. Am. B 11, 1864 (1994).
[CrossRef]

B. M. Jost“Photorefractive two-wave mixing bistability without external feedback: increasing gain bistability,” submitted to Opt. Lett.

Jung, P.

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

P. Jung, P. HanggiPhys. Rev. A 44, 8032 (1991).
[CrossRef] [PubMed]

Klingshirn, C.

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

Luchinsky, D. G.

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

Mannella, R.

A. Fioretti, L. Guidoni, R. Mannella, E. ArimondoJ. Stat. Phys. 70, 403 (1993).
[CrossRef]

Marchesoni, F.

L. Gammaitoni, F. Marchesoni, S. SantucciPhys. Rev. Lett. 74, 1052 (1995).
[CrossRef] [PubMed]

McClintock, P. V. E.

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

McNamara, B.

B. McNamara, K. WiesenfeldPhys. Rev. A 39, 4854 (1989).
[CrossRef] [PubMed]

B. McNamara, K. Wiesenfeld, R. RoyPhys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Moddel, G.

J. P. Sharpe, D. C. O’Brien, G. Moddelin Spatial Light Modulators and Applications, Vol. 9 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 65.

Moss, F.

J. K. Douglass, L. Wilkens, E. Pantazelou, F. MossNature (London) 365, 337 (1993).
[CrossRef] [PubMed]

T. Zhou, F. MossPhys. Rev. A 41, 4255 (1990).
[CrossRef] [PubMed]

Ning, C. Z.

H. Gang, H. Haken, C. Z. NingPhys. Lett. A 172, 21 (1992);Phys. Rev. E 47, 2321 (1993).
[CrossRef]

O’Brien, D. C.

J. P. Sharpe, D. C. O’Brien, G. Moddelin Spatial Light Modulators and Applications, Vol. 9 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 65.

Pantazelou, E.

J. K. Douglass, L. Wilkens, E. Pantazelou, F. MossNature (London) 365, 337 (1993).
[CrossRef] [PubMed]

Qing, G. R.

H. Gang, G. R. Qing, D. C. Gong, X. D. WangPhys. Rev. A 44, 6414 (1991).
[CrossRef] [PubMed]

Roy, R.

G. Vemuri, R. RoyPhys. Rev. A 39, 4668 (1989).
[CrossRef] [PubMed]

B. McNamara, K. Wiesenfeld, R. RoyPhys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Saleh, B. E. A.

Santucci, S.

L. Gammaitoni, F. Marchesoni, S. SantucciPhys. Rev. Lett. 74, 1052 (1995).
[CrossRef] [PubMed]

Schafer, K.

H. A. Braun, H. Wissing, K. Schafer, M. C. HirschNature (London) 367, 270 (1994).
[CrossRef] [PubMed]

Sharpe, J. P.

J. P. Sharpe, D. C. O’Brien, G. Moddelin Spatial Light Modulators and Applications, Vol. 9 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 65.

Stein, N. D.

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

Stocks, N. G.

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

Velikovich, A. L.

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

Vemuri, G.

G. Vemuri, R. RoyPhys. Rev. A 39, 4668 (1989).
[CrossRef] [PubMed]

Wang, X. D.

H. Gang, G. R. Qing, D. C. Gong, X. D. WangPhys. Rev. A 44, 6414 (1991).
[CrossRef] [PubMed]

Weiss, S.

S. Weiss, B. FischerOpt. Quantum Electron. 22, 17 (1990).
[CrossRef]

Wiesenfeld, K.

B. McNamara, K. WiesenfeldPhys. Rev. A 39, 4854 (1989).
[CrossRef] [PubMed]

B. McNamara, K. Wiesenfeld, R. RoyPhys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Wilkens, L.

J. K. Douglass, L. Wilkens, E. Pantazelou, F. MossNature (London) 365, 337 (1993).
[CrossRef] [PubMed]

Wissing, H.

H. A. Braun, H. Wissing, K. Schafer, M. C. HirschNature (London) 367, 270 (1994).
[CrossRef] [PubMed]

Yariv, A.

J. M. Ianelli, A. Yariv, T. R. Chen, Y. H. ZhuangAppl. Phys. Lett. 65, 1983 (1994).
[CrossRef]

Zhou, T.

T. Zhou, F. MossPhys. Rev. A 41, 4255 (1990).
[CrossRef] [PubMed]

Zhuang, Y. H.

J. M. Ianelli, A. Yariv, T. R. Chen, Y. H. ZhuangAppl. Phys. Lett. 65, 1983 (1994).
[CrossRef]

Appl. Phys. Lett. (1)

J. M. Ianelli, A. Yariv, T. R. Chen, Y. H. ZhuangAppl. Phys. Lett. 65, 1983 (1994).
[CrossRef]

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

J. Stat. Phys. (1)

A. Fioretti, L. Guidoni, R. Mannella, E. ArimondoJ. Stat. Phys. 70, 403 (1993).
[CrossRef]

Nature (2)

J. K. Douglass, L. Wilkens, E. Pantazelou, F. MossNature (London) 365, 337 (1993).
[CrossRef] [PubMed]

H. A. Braun, H. Wissing, K. Schafer, M. C. HirschNature (London) 367, 270 (1994).
[CrossRef] [PubMed]

Opt. Quantum Electron. (1)

S. Weiss, B. FischerOpt. Quantum Electron. 22, 17 (1990).
[CrossRef]

Phys. Lett. A (1)

H. Gang, H. Haken, C. Z. NingPhys. Lett. A 172, 21 (1992);Phys. Rev. E 47, 2321 (1993).
[CrossRef]

Phys. Rev. A (6)

G. Vemuri, R. RoyPhys. Rev. A 39, 4668 (1989).
[CrossRef] [PubMed]

T. Zhou, F. MossPhys. Rev. A 41, 4255 (1990).
[CrossRef] [PubMed]

H. Gang, G. R. Qing, D. C. Gong, X. D. WangPhys. Rev. A 44, 6414 (1991).
[CrossRef] [PubMed]

B. McNamara, K. WiesenfeldPhys. Rev. A 39, 4854 (1989).
[CrossRef] [PubMed]

P. Jung, P. HanggiPhys. Rev. A 44, 8032 (1991).
[CrossRef] [PubMed]

J. Grohs, S. Apanasevich, P. Jung, H. Ibler, D. Burak, C. KlingshirnPhys. Rev. A 49, 2199 (1994).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

B. McNamara, K. Wiesenfeld, R. RoyPhys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

L. Gammaitoni, F. Marchesoni, S. SantucciPhys. Rev. Lett. 74, 1052 (1995).
[CrossRef] [PubMed]

Proc. SPI (1)

D. G. Luchinsky, G. P. Golubev, A. L. Velikovich, M. I. Dykman, P. V. E. McClintock, N. D. Stein, N. G. StocksProc. SPI 1841, 287 (1992).
[CrossRef]

Other (2)

J. P. Sharpe, D. C. O’Brien, G. Moddelin Spatial Light Modulators and Applications, Vol. 9 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 65.

B. M. Jost“Photorefractive two-wave mixing bistability without external feedback: increasing gain bistability,” submitted to Opt. Lett.

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Figures (4)

Fig. 1
Fig. 1

Experimental unidirectional photorefractive ring resonator stochastic resonance system.

Fig. 2
Fig. 2

Measured optical bistability with the configuration of Fig. 1. The arrows indicate the direction of the hysteresis path traced as the input is slowly changed (two cycles are shown).

Fig. 3
Fig. 3

Measured signal-to-noise ratio gain G (boxes) as a function of input noise Ni for four different frequencies f0: 6 mHz (solid curve), 14 mHz (dashed curve), 19 mHz (dashed–dotted curve), and 33 mHz (dotted curve). The interpolated fitted spline curves are a visual aid.

Fig. 4
Fig. 4

Measured output signals So (boxes) and noises No (crosses) as a function of the input noises Ni corresponding to those in Fig. 3. Only the output noise level at 6 mHz is shown since the noise curves at the other frequencies are nearly identical. The interpolated fitted spline curves are a visual aid.

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