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

Kolpakov, S. A., Kbashi, Hani and Sergeyev, Sergey (2017). Rogue waves driven by polarization instabilities in a long ring fiber oscillator. IN: Nonlinear Optics and Applications X. Proceedings of SPIE, 10228 . SPIE.

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.

Publication DOI: https://doi.org/10.1117/12.2265190
Divisions: Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences > Institute of Photonics
Additional Information: 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).
Event Title: 7th Nonlinear Optics and Applications Conference
Event Type: Other
Event Dates: 2017-04-24 - 2017-04-25
Uncontrolled Keywords: chaos,chaos transition,fiber laser,non-degenerate states,Optical rogue wave,polarization instability degeneration,rogue wave,Electronic, Optical and Magnetic Materials,Condensed Matter Physics,Computer Science Applications,Applied Mathematics,Electrical and Electronic Engineering
Full Text Link: https://www.spi ... 12.2265190.full
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://spie.org ... 1117/12.2265190 (Publisher URL)
Published Date: 2017-05-16
Authors: Kolpakov, S. A. ( 0000-0001-6947-8289)
Kbashi, Hani
Sergeyev, Sergey ( 0000-0002-1515-5019)

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