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


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.

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Divisions: College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies
College of Engineering & Physical Sciences
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
ISBN: 1996756X 0277786X, 9781510609570
Last Modified: 26 Feb 2024 08:08
Date Deposited: 02 Nov 2017 15:25
Full Text Link: http://www.scop ... tnerID=MN8TOARS
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PURE Output Type: Conference contribution
Published Date: 2017-05-16
Accepted Date: 2017-05-16
Authors: Kolpakov, S. A. (ORCID Profile 0000-0001-6947-8289)
Kbashi, Hani (ORCID Profile 0000-0002-6343-248X)
Sergeyev, Sergey (ORCID Profile 0000-0002-1515-5019)



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