OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 15, Iss. 11 — Nov. 1, 1998
  • pp: 2674–2680

Stochastic resonance and noise-enhanced transmission of spatial signals in optics: the case of scattering

Fabrice Vaudelle, José Gazengel, Geneviève Rivoire, Xavier Godivier, and François Chapeau-Blondeau  »View Author Affiliations

JOSA B, Vol. 15, Issue 11, pp. 2674-2680 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (345 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The nonlinear effect of noise-enhanced signal transmission by means of stochastic resonance in optics is studied. We investigate this effect for the novel case of spatial signals or images. With a theoretical model involving a threshold nonlinearity we describe a mechanism whereby the transmission of an image can be improved by the addition of noise. We argue that such a nonlinear mechanism can operate in different types of light scattering. With a stimulated Raman scattering experiment we verify the existence of a stochastic resonance effect in the transmission of a laser image; we show that maximal efficacy is obtained with the assistance of a speckle of sufficient intensity. The results extend the scope of stochastic resonance and can serve as a basis for further development of the effect in optics.

© 1998 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(100.0100) Image processing : Image processing
(110.2970) Imaging systems : Image detection systems
(190.0190) Nonlinear optics : Nonlinear optics
(190.5650) Nonlinear optics : Raman effect

Fabrice Vaudelle, José Gazengel, Geneviève Rivoire, Xavier Godivier, and Francois Chapeau-Blondeau, "Stochastic resonance and noise-enhanced transmission of spatial signals in optics: the case of scattering," J. Opt. Soc. Am. B 15, 2674-2680 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. Wiesenfeld and F. Moss, “Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs,” Nature (London) 373, 33–36 (1995). [CrossRef]
  2. A. R. Bulsara and L. Gammaitoni, “Tuning in to noise,” Phys. Today 49(3), 39–45 (1996). [CrossRef]
  3. R. Benzi, A. Sutera, and A. Vulpiani, “The mechanism of stochastic resonance,” J. Phys. A 14, L453–L458 (1981). [CrossRef]
  4. P. Debye, Polar Molecules (Dover, New York, 1929).
  5. M. I. Dykman, D. G. Luchinsky, R. Mannella, P. V. E. McClintock, N. D. Stein, and N. G. Stocks, “Stochastic resonance in perspective,” Nuovo Cimento D 17, 661–683 (1995). [CrossRef]
  6. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, “Stochastic resonance,” Rev. Mod. Phys. 70, 223–287 (1998). [CrossRef]
  7. B. McNamara and K. Wiesenfeld, “Theory of stochastic resonance,” Phys. Rev. A 39, 4854–4869 (1989). [CrossRef] [PubMed]
  8. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, and S. Santucci, “Stochastic resonance in bistable systems,” Phys. Rev. Lett. 62, 349–352 (1989). [CrossRef] [PubMed]
  9. M. I. Dykman, H. Haken, G. Hu, D. G. Luchinsky, R. Mannella, P. V. E. McClintock, C. Z. Ning, N. D. Stein, and N. G. Stocks, “Linear response theory in stochastic resonance,” Phys. Lett. A 180, 332–336 (1993). [CrossRef]
  10. J. J. Collins, C. C. Chow, and T. T. Imhoff, “Aperiodic stochastic resonance in excitable systems,” Phys. Rev. E 52, R3321–R3324 (1995). [CrossRef]
  11. F. Chapeau-Blondeau, “Noise-enhanced capacity via stochastic resonance in an asymmetric binary channel,” Phys. Rev. E 55, 2016–2019 (1997). [CrossRef]
  12. F. Chapeau-Blondeau and X. Godivier, “Theory of stochastic resonance in signal transmission by static nonlinear systems,” Phys. Rev. E 55, 1478–1495 (1997). [CrossRef]
  13. L. Gammaitoni, “Stochastic resonance and the dithering effect in threshold physical systems,” Phys. Rev. E 52, 4691–4698 (1995). [CrossRef]
  14. P. Jung, “Threshold devices: fractal noise and neural talk,” Phys. Rev. E 50, 2513–2522 (1994). [CrossRef]
  15. X. Godivier, J. Rojas-Varela, and F. Chapeau-Blondeau, “Noise-assisted signal transmission via stochastic resonance in a diode nonlinearity,” Electron. Lett. 33, 1666–1668 (1997). [CrossRef]
  16. F. Chapeau-Blondeau and X. Godivier, “Stochastic resonance in nonlinear transmission of spike signals: an exact model and an application to the neuron,” Int. J. Bifurcation Chaos 6, 2069–2076 (1996). [CrossRef]
  17. E. Simonotto, M. Riani, C. Seife, M. Roberts, J. Twitty, and F. Moss, “Visual perception of stochastic resonance,” Phys. Rev. Lett. 78, 1186–1189 (1997). [CrossRef]
  18. G. Boyd, Nonlinear Optics (Academic, Boston, Mass., 1992).
  19. S. M. Bezrukov and I. Vodyanoy, “Stochastic resonance in non-dynamical systems without response thresholds,” Nature (London) 385, 319–321 (1997). [CrossRef]
  20. W. Kaiser and M. Maier, “Stimulated Rayleigh, Brillouin and Raman spectroscopy,” in Laser Handbook, F. T. Arrechi and E. O. Schultz-Dubois, eds. (Elsevier, Amsterdam, 1972), Vol. 2, pp. 1089–1096.
  21. J. Gazengel, N. P. Xuan, and G. Rivoire, “Stimulated Raman scattering thresholds for ultra-shot excitation,” Opt. Acta 26, 1245–1255 (1979). [CrossRef]
  22. S. Er. Rhaïmini, J. P. Lecoq, N. P. Xuan, G. Rivoire, and N. Tcherniega, “Amplitude object reconstruction by stimulated backward Raman scattering in the picosecond range with high efficiency conversion,” Opt. Commun. 104, 132–138 (1993). [CrossRef]
  23. R. Loudon, The Quantum Theory of Light (Oxford U. Press, Oxford, 1973).
  24. B. Colombeau, C. Froehly, and M. Vampouille, “Fourier description of the axial structure of speckle,” J. Opt. 10, 65–69 (1979). [CrossRef]
  25. J. L. Ferrier, Z. Wu, J. Gazengel, N. P. Xuan, and G. Rivoire, “Backward scatterings in the picosecond range: generation and geometrical conditions for wave front reconstruction,” Opt. Commun. 41, 135–139 (1982). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited