Stochastic anti-resonance in a fibre Raman amplifier

Vladimir L. Kalashnikov*, Sergey V. Sergeyev

*Corresponding author for this work

Research output: Chapter in Book/Published conference outputConference publication


Stochastic anti-resonance, that is resonant enhancement of randomness caused by polarization mode beatings, is analyzed both numerically and analytically on an example of fibre Raman amplifier with randomly varying birefringence. As a result of such anti-resonance, the polarization mode dispersion growth causes an escape of the signal state of polarization from a metastable state corresponding to the pulling of the signal to the pump state of polarization.This phenomenon reveals itself in abrupt growth of gain fluctuations as well as in dropping of Hurst parameter and Kramers length characterizing long memory in a system and noise induced escape from the polarization pulling state. The results based on analytical multiscale averaging technique agree perfectly with the numerical data obtained by direct numerical simulations of underlying stochastic differential equations. This challenging outcome would allow replacing the cumbersome numerical simulations for real-world extra-long high-speed communication systems.
Original languageEnglish
Title of host publicationSpatiotemporal Complexity in Nonlinear Optics, SCNO 2015
Number of pages3
ISBN (Print)978-1-4673-8061-4
Publication statusPublished - 2015
Event2015 Spatiotemporal Complexity in Nonlinear Optics - Como, Italy
Duration: 31 Aug 20154 Sept 2015


Conference2015 Spatiotemporal Complexity in Nonlinear Optics
Abbreviated titleSCNO 2015

Bibliographical note

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Funding: P7-PEOPLE-2012-IAPP (project GRIFFON, No. 324391)


  • stochastic anti-resonance
  • fibre Raman amplifier
  • telecommunication systems
  • multi-scaling
  • stochastic differential equations


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