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Optical heterodyning noise-protected with stochastic resonance.

M. I. Dykman, G. P. Golubev, Igor Kh. Kaufman, D. G. Luchinsky, Evgeny A. Zhukov, P. V. E. McClintock, Norman D Stein, Nigel G. Stocks

Published Jan 1, 1995• 0 citations
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Abstract

A new form of heterodyning in an all-optical bistable system, related to stochastic resonance,is reported. It is showntheoretically and experimentally that the heterodyne signal and signal-to-noiseratio can be enhanced by the addition of noise to the input signal.

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Stochastic resonance (SR) is experimentally demonstrated in an atomic optical bistable system consisting of three-level atoms in $\ensuremath{\Lambda}$-type configuration confined in an optical ring cavity. The optical bistable system with enhanced Kerr nonlinearity due to atomic coherence is driven by a periodic signal and a Gaussian white noise source with variable amplitude, and displays an improved output signal-to-noise ratio, a characteristic signature of SR. The measured results match qualitatively with the theoretical predictions of the generic model for the SR phenomenon.
We study the response of a noise-driven absorptive optical bistable system which is subjected to deterministic periodic perturbations of the incident light intensity. This system is characterized by state-dependent noise which in turn can strongly enhance---via stochastic resonance---the response due to the external periodic perturbation. We demonstrate that the condition for stochastic resonance sensitively depends on the shape of the bistable generalized potential (symmetric or asymmetric). Furthermore, the generation of higher harmonics is studied in the presence of fluctuations. We report on a novel phase-sensitive resonance phenomenon which virtually eliminates the higher harmonics and thus allows for distortion-free amplification of signals via stochastic resonance.
The stochastic resonance (SR) in an optical bistable system under the simultaneous action of multiplicative and additive noises and periodic signal is studied using the adiabatic approximation theory. The signal-to-noise ratio(SNR)is a non-monotonic function of intensity of additive noise, in which the SR phenomenon appears. The SNR decreased with the intensity of multiplicative noise, and SR phenomenon does not appear. So the effects of additive and multiplicative noise on the output SNR are different.