Theoretical and experimental study of stochastic effects on polarization rotation in a vectorial bistable laser
- Laboratoire d'Electronique Quantique-Physique des Lasers, Unite Mixte de Recherche du Centre National de la Recherche Scientifique 6627, Universite de Rennes I, Campus de Beaulieu, F-35042 Rennes Cedex (France)
We investigate the two-dimensional optical rotor of a weakly modulated vectorial bistable laser submitted to a single or multiple stochastic perturbations. In the Langevin-type equation of the rotor the role of an even or odd input forcing function on the system dynamics is isolated. Through these two inputs of optical and magnetic natures we verify that the stochastic resonance exists only when the periodic modulation acts on the even parity optical input. When two mutually correlated noises are simultaneously submitted to the input functions of opposite parities, we find a critical regime of the noise interplay whereby one stable state becomes noise-free. In this case, the residence time of the light vector in the noise-free state diverges which leads to a collapse of the output signal-to-noise ratio. But, in this critical regime also obtained when one noise drives both the even and odd functions, if the system symmetry is broken through an independent lever control, we can recover the switching cycle due to a new response mechanism, namely, the dual stochastic response, with a specific output signal-to-noise ratio expression. Both the theoretical analysis and the experiment show that the signal-to-noise ratio now displays a robust behavior for a large range of the input noise amplitude, and a plateau with respect to the input signal amplitude. Furthermore, we isolate an original signature of this synchronization mechanism in the residence-time distribution leading to a broadband forcing frequency range. These noise interplay effects in a double well potential are of generic nature and could be found in other nonlinear systems.
- OSTI ID:
- 20786987
- Journal Information:
- Physical Review. A, Vol. 73, Issue 3; Other Information: DOI: 10.1103/PhysRevA.73.033807; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
AMPLITUDES
CONTROL
DISTRIBUTION FUNCTIONS
DISTURBANCES
LANGEVIN EQUATION
MODULATION
NOISE
NONLINEAR OPTICS
NONLINEAR PROBLEMS
PARITY
PERIODICITY
POLARIZATION
POTENTIALS
RESIDENCE HALF-TIME
RESONANCE
ROTATION
ROTORS
SIGNAL-TO-NOISE RATIO
STOCHASTIC PROCESSES
SYMMETRY
SYNCHRONIZATION
TWO-DIMENSIONAL CALCULATIONS
VECTORS
VISIBLE RADIATION