Stochastic Anti-Resonance in Polarization Phenomena
The phenomenon of resonant stochastization, so-called stochastic anti-resonance, is considered on an example of Raman fibre amplifier with randomly varying birefringence. Despite a well-known effect of noise suppression and global regularization of dynamics due to resonant interaction of noise and regular external periodic perturbation, as it takes a place in the case of stochastic resonance, here we report about reverse situation when regular perturbation assists a noise-induced escape of a system from metastable state. Such an escape reveals itself by different signatures like growth of dispersion, dropping of Hurst parameter and Kramers length characterizing behavior of physically relevant parameters (e.g. average gain and projection of signal state of polarization to pump one). This phenomenon is analyzed by the means of two techniques: direct numerical simulations of underlying stochastic differential equations and multi-scale averaging method reducing a problem to a set of deterministic ordinary differential equations for average values characterizing the states of polarization. It is shown, that taking into account a relevant set of scales characterizing a system results in excellent agreement between results of direct numerical simulations and average model. It is very challenging outcome because allows replacing the cumbersome numerical simulations and revealing the system-relevant signatures for many important real-world systems.
KeywordsDirect Numerical Simulation Stochastic Resonance Stimulate Raman Scattering Hurst Parameter Polarization Mode Dispersion
Support of the FP7-PEOPLE-2012-IAPP (project GRIFFON, No. 324391) is acknowledged. The computational results have been achieved using the Vienna Scientific Cluster (VSC).
- 1.A. Beckermann (ed.), Emergence or Reduction? Esseys on the Prospects of Nonreductive Physicalism (de Gruyter, Berlin, 1992), p. 28Google Scholar
- 2.R. Lewin, Complexity. Life at the Edge of Chaos (Macmillan Publishing Company, New York, 1992)Google Scholar
- 8.C. Headley, G.P. Agrawal (eds.), Raman Amplification in Fiber Optical Communication Systems (Elsevier, Amsterdam, 2005)Google Scholar
- 11.V.V. Kozlov, J. Nuño, J.D. Ania-Castañón, S. Wabnitz, Trapping polarization of light in nonlinear optical fibers: an ideal Raman polarizer, in Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations, ed. by B.A. Malomed. Progress in Optical Science and Photonics, vol. 1 (Springer, Berlin, 2013), pp. 227–246Google Scholar
- 28.V.V. Kozlov, J. Nuño, J.D. Ania-Castañón, S. Wabnitz, Trapping polarization of light in nonlinear optical fibers: an ideal Raman polarizer, in Progress in Optical Science and Photonics. Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations, ed. by B.A. Malomed (Springer, Berlin, 2012), pp. 227–246Google Scholar
- 43.M. Naruse (ed.), Nanophotonic Information Physics (Springer, Berlin, 2014)Google Scholar