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.
|Title of host publication||Nonlinear Optics and Applications X|
|Publication status||Published - 16 May 2017|
|Event||7th Nonlinear Optics and Applications Conference - Prague, Czech Republic|
Duration: 24 Apr 2017 → 25 Apr 2017
|Name||Proceedings of SPIE|
|Conference||7th Nonlinear Optics and Applications Conference|
|Period||24/04/17 → 25/04/17|
Bibliographical noteCopyright: 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).
- chaos transition
- fiber laser
- non-degenerate states
- Optical rogue wave
- polarization instability degeneration
- rogue wave