Abstract

We use stochastic resonance to measure weak transmittance amplitudes that are below the instrumental detection limit. Gaussian noise is added to the subthreshold (chopped) transmittance signal Tt before detection by a crossing detector that uses a dc reference signal B>0. Without noise, no measurement is possible because Tt<B. A fourfold improvement has been obtained in the detection limit, permitting the measurement of amplitudes that are as small as 0.25B.

© 1998 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
    [CrossRef]
  2. A. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996).
    [CrossRef]
  3. K. Weisenfeld and F. Moss, Nature (London) 373, 33 (1995).
    [CrossRef]
  4. S. Fauve and F. Heslot, Phys. Lett. A 97, 5 (1983).
    [CrossRef]
  5. B. McNamara, K. Weisenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).
    [CrossRef] [PubMed]
  6. J. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 365, 337 (1993).
    [CrossRef]
  7. J. Levin and J. Miller, Nature (London) 380, 165 (1996).
    [CrossRef]
  8. M. Litong and C. Saloma, Phys. Rev. E 54, 3579 (1998).
    [CrossRef]
  9. L. Gammaitoni, Phys. Rev. E 52, 4691 (1995).
    [CrossRef]
  10. V. Daria and C. Saloma, Rev. Sci. Instrum. 68, 240 (1997).
    [CrossRef]
  11. M. A. Nazario and C. Saloma, Appl. Opt. 37, 2953 (1998).
    [CrossRef]

1998 (3)

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

M. Litong and C. Saloma, Phys. Rev. E 54, 3579 (1998).
[CrossRef]

M. A. Nazario and C. Saloma, Appl. Opt. 37, 2953 (1998).
[CrossRef]

1997 (1)

V. Daria and C. Saloma, Rev. Sci. Instrum. 68, 240 (1997).
[CrossRef]

1996 (2)

J. Levin and J. Miller, Nature (London) 380, 165 (1996).
[CrossRef]

A. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996).
[CrossRef]

1995 (2)

K. Weisenfeld and F. Moss, Nature (London) 373, 33 (1995).
[CrossRef]

L. Gammaitoni, Phys. Rev. E 52, 4691 (1995).
[CrossRef]

1993 (1)

J. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 365, 337 (1993).
[CrossRef]

1988 (1)

B. McNamara, K. Weisenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

1983 (1)

S. Fauve and F. Heslot, Phys. Lett. A 97, 5 (1983).
[CrossRef]

Bulsara, A.

A. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996).
[CrossRef]

Daria, V.

V. Daria and C. Saloma, Rev. Sci. Instrum. 68, 240 (1997).
[CrossRef]

Douglass, J.

J. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 365, 337 (1993).
[CrossRef]

Fauve, S.

S. Fauve and F. Heslot, Phys. Lett. A 97, 5 (1983).
[CrossRef]

Gammaitoni, L.

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

A. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996).
[CrossRef]

L. Gammaitoni, Phys. Rev. E 52, 4691 (1995).
[CrossRef]

Hanggi, P.

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

Heslot, F.

S. Fauve and F. Heslot, Phys. Lett. A 97, 5 (1983).
[CrossRef]

Jung, P.

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

Levin, J.

J. Levin and J. Miller, Nature (London) 380, 165 (1996).
[CrossRef]

Litong, M.

M. Litong and C. Saloma, Phys. Rev. E 54, 3579 (1998).
[CrossRef]

Marchesoni, F.

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

McNamara, B.

B. McNamara, K. Weisenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Miller, J.

J. Levin and J. Miller, Nature (London) 380, 165 (1996).
[CrossRef]

Moss, F.

K. Weisenfeld and F. Moss, Nature (London) 373, 33 (1995).
[CrossRef]

J. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 365, 337 (1993).
[CrossRef]

Nazario, M. A.

Pantazelou, E.

J. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 365, 337 (1993).
[CrossRef]

Roy, R.

B. McNamara, K. Weisenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Saloma, C.

M. A. Nazario and C. Saloma, Appl. Opt. 37, 2953 (1998).
[CrossRef]

M. Litong and C. Saloma, Phys. Rev. E 54, 3579 (1998).
[CrossRef]

V. Daria and C. Saloma, Rev. Sci. Instrum. 68, 240 (1997).
[CrossRef]

Weisenfeld, K.

K. Weisenfeld and F. Moss, Nature (London) 373, 33 (1995).
[CrossRef]

B. McNamara, K. Weisenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Wilkens, L.

J. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 365, 337 (1993).
[CrossRef]

Appl. Opt. (1)

Nature (London) (3)

K. Weisenfeld and F. Moss, Nature (London) 373, 33 (1995).
[CrossRef]

J. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 365, 337 (1993).
[CrossRef]

J. Levin and J. Miller, Nature (London) 380, 165 (1996).
[CrossRef]

Phys. Lett. A (1)

S. Fauve and F. Heslot, Phys. Lett. A 97, 5 (1983).
[CrossRef]

Phys. Rev. E (2)

M. Litong and C. Saloma, Phys. Rev. E 54, 3579 (1998).
[CrossRef]

L. Gammaitoni, Phys. Rev. E 52, 4691 (1995).
[CrossRef]

Phys. Rev. Lett. (1)

B. McNamara, K. Weisenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).
[CrossRef] [PubMed]

Phys. Today (1)

A. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996).
[CrossRef]

Rev. Mod. Phys. (1)

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

Rev. Sci. Instrum. (1)

V. Daria and C. Saloma, Rev. Sci. Instrum. 68, 240 (1997).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Signal conditioning and crossing detector circuits, where B=20 mV. Other notation defined in text.

Fig. 2
Fig. 2

Power spectra Sσf,A of zero-padded Voutt data for different fs values (A=10 mV, 1024 data points).

Fig. 3
Fig. 3

Rfs,10 mV versus σ for various values of fs. Solid curves, the theoretical predictions. For given fs, the following values were used for k and x: fs=40, k=77, x=15; fs=80, k=73, x=13; fs=120, k=55, x=13; fs=200, k=46, x=17; fs=300, k=30, x=19; fs=500, k=15, x=22.

Fig. 4
Fig. 4

Rmax versus T for fs=80 Hz (10 trials). Solid curve, Rmax=5.182T-28.937.

Metrics