# Theoretical and experimental study of stochastic effects on polarization rotation in a vectorial bistable laser

## Abstract

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 rangemore »

- Authors:

- 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)

- Publication Date:

- OSTI Identifier:
- 20786987

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.73.033807; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 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

### Citation Formats

```
Singh, Kamal P., Ropars, Guy, Brunel, Marc, and Le Floch, Albert.
```*Theoretical and experimental study of stochastic effects on polarization rotation in a vectorial bistable laser*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.0.

```
Singh, Kamal P., Ropars, Guy, Brunel, Marc, & Le Floch, Albert.
```*Theoretical and experimental study of stochastic effects on polarization rotation in a vectorial bistable laser*. United States. doi:10.1103/PHYSREVA.73.0.

```
Singh, Kamal P., Ropars, Guy, Brunel, Marc, and Le Floch, Albert. Wed .
"Theoretical and experimental study of stochastic effects on polarization rotation in a vectorial bistable laser". United States.
doi:10.1103/PHYSREVA.73.0.
```

```
@article{osti_20786987,
```

title = {Theoretical and experimental study of stochastic effects on polarization rotation in a vectorial bistable laser},

author = {Singh, Kamal P. and Ropars, Guy and Brunel, Marc and Le Floch, Albert},

abstractNote = {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.},

doi = {10.1103/PHYSREVA.73.0},

journal = {Physical Review. A},

number = 3,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}