Stochastic resonance is a paradoxical phenomenon whereby a weak signal can be amplified by application of noise. Stochastic resonance occurs in a number of nonlinear systems, in neurobiology, mesoscopic physics, photonics, atomic physics, mechanics,... The classical picture of stochastic resonance involves the stochastic synchronisation of the motion of a fictious particle (representing the system's state) in a bistable potential subjected to a weak amplitude harmonic modulation (the input signal) and to amplitude noise. Stochastic amplification of the weak signal is revealed in the spectral amplification at the signal frequency for a non zero input noise strength.
We report on the observation of phase stochastic resonance in a nanomechanical, photonic crystal membrane with integrated electrical actuation. The nanomechanical oscillator is forced by a coherent driving signal which results in a bistable behavior. Bistability occurs in a bidimensional phase space since the system has a response in amplitude and in phase. We subject the oscillator to an additional slow phase modulation and to phase noise. We evidence a stochastic resonance phenomenon with amplification of the phase or amplitude response of the system for a non-zero input noise. Moreover, a theoretical analysis reveals that phase noise acts in a multiplicative fashion. This has important consequences on the optimal parameters for stochastic resonance to occur and explains the observed noise-induced detuning in the system. Phase stochastic resonance may have impact on several domains, including signal transmission telecommunication with coherent protocols such as Phase Shifting Keying, or metrology with improved detection.
Avishek Chowdhury, Sylvain Barbay, Marcel G. Clerc, Isabelle Robert-Philip, and Rémy Braive, "Phase stochastic resonance in an nanomechanical photonic crystal membrane with integrated electrical actuation (Conference Presentation)," Proc. SPIE 10541, Photonic and Phononic Properties of Engineered Nanostructures VIII, 105411T (Presented at SPIE OPTO: February 01, 2018; Published: 14 March 2018); https://doi.org/10.1117/12.2287780.5751536431001.
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