Improvement of signal-to-noise ratio in a bistable optical system: Comparison between vibrational and stochastic resonance

We present an experimental and theoretical study of the effect of additive noise on the signal-to-noise ratio (SNR) in a bistable, vertical cavity laser. We show that, the regime of vibrational resonance leads to higher SNR's than the regime of stochastic resonance. A scaling law for the noise-induced degradation of SNR is obtained analytically and compared with experimental and numerical results, showing a good agreement.

[1]  Giacomelli,et al.  Stochastic resonance in vertical cavity surface emitting lasers , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Jürgen Kurths,et al.  Vibrational resonance and vibrational propagation in excitable systems , 2003 .

[3]  Zoltan Gingl,et al.  Signal-to-noise ratio gain by stochastic resonance in a bistable system , 2000 .

[4]  C. Nicolis,et al.  Stochastic aspects of climatic transitions-Additive fluctuations , 2010 .

[5]  Derek Abbott,et al.  Minimal Brownian ratchet: an exactly solvable model. , 2002, Physical review letters.

[6]  François Chapeau-Blondeau,et al.  PERIODIC AND APERIODIC STOCHASTIC RESONANCE WITH OUTPUT SIGNAL-TO-NOISE RATIO EXCEEDING THAT AT THE INPUT , 1999 .

[7]  Zoltan Gingl,et al.  A stochastic resonator is able to greatly improve signal-to- noise ratio , 1996 .

[8]  Peter Hänggi,et al.  Gain in stochastic resonance: precise numerics versus linear response theory beyond the two-mode approximation. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  G. Giacomelli,et al.  Experimental evidence of "vibrational resonance" in an optical system. , 2003, Physical review letters.

[10]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[11]  P. Hänggi,et al.  Two-state theory of nonlinear stochastic resonance. , 2003, Physical review letters.

[12]  Péter Makra,et al.  HIGH SIGNAL-TO-NOISE RATIO GAIN BY STOCHASTIC RESONANCE IN A DOUBLE WELL , 2001 .

[13]  Peter Hänggi,et al.  Subthreshold stochastic resonance: rectangular signals can cause anomalous large gains. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  François Chapeau-Blondeau,et al.  Input-output gains for signal in noise in stochastic resonance , 1997 .

[15]  Peter V E McClintock,et al.  Comment on "Signal-to-noise ratio gain in neuronal systems". , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  J Kurths,et al.  Vibrational resonance in a noise-induced structure. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  J Kurths,et al.  Experimental evidence, numerics, and theory of vibrational resonance in bistable systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Moshe Gitterman,et al.  Bistable oscillator driven by two periodic fields , 2001 .