Rogue waves driven by polarization instabilities in a long ring fiber oscillator

S. A. Kolpakov*, Hani Kbashi, Sergey Sergeyev

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present an experimental and theoretical results of a study of a complex nonlinear polarization dynamics in a passively self-mode-locked erbium-doped fiber oscillator implemented in a ring configuration and operating near lasing threshold. The theoretical model consists of seven coupled non-linear equations and takes into account both orthogonal states of polarizations in the fiber. The experiment confirmed the existence of seven eigenfrequencies, predicted by the model due to polarization instability near lasing threshold. By adjusting the state of polarization of the pump and in-cavity birefringence we changed some eigenfrequencies from being different (non-degenerate state) to matching (degenerate state). The non-degenerate states of oscillator lead to the L-shaped probability distribution function and true rogue wave regime with a positive dominant Lyapunov exponent value between 1.4 and 2.6. Small detuning from partially degenerate case also leads to L-shaped probability distribution function with the tail trespassing eight standard deviations threshold, giving periodic patterns of pulses along with positive dominant Lyapunov exponent of a filtered signal between 0.6 and 3.2. The partial degeneration, in turn, guides to quasi-symmetric distribution and the value of dominant Lyapunov exponent of 42 which is a typical value for systems with a source of the strongly nonhomogeneous external noise.

Original languageEnglish
Title of host publicationNonlinear Optics and Applications X
PublisherSPIE
Volume10228
ISBN (Electronic)9781510609570
DOIs
Publication statusPublished - 16 May 2017
Event7th Nonlinear Optics and Applications Conference - Prague, Czech Republic
Duration: 24 Apr 201725 Apr 2017

Publication series

NameProceedings of SPIE
PublisherSPIE
Volume10228
ISSN (Print)0277-786X

Conference

Conference7th Nonlinear Optics and Applications Conference
CountryCzech Republic
CityPrague
Period24/04/1725/04/17

Bibliographical note

Copyright: 2017, Society of Photo-Optical Instrumentation Engineers (SPIE). One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.

Funding: Leverhulme Trust (Grant ref: RPG-2014-304), FP7-PE0PLE-2012-IAPP (project GRIFFON, No. 324391).

Keywords

  • chaos
  • chaos transition
  • fiber laser
  • non-degenerate states
  • Optical rogue wave
  • polarization instability degeneration
  • rogue wave

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  • Cite this

    Kolpakov, S. A., Kbashi, H., & Sergeyev, S. (2017). Rogue waves driven by polarization instabilities in a long ring fiber oscillator. In Nonlinear Optics and Applications X (Vol. 10228). [102280Q] (Proceedings of SPIE; Vol. 10228). SPIE. https://doi.org/10.1117/12.2265190