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Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

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Synchronization under saturable nonlinearity.

Alexander K Stoychev¹, Tiemo Pedergnana¹, Nicolas Noiray¹

¹CAPS Laboratory, Department of Mechanical and Process Engineering, ETH Zürich, 8092 Zürich, Switzerland.

Chaos (Woodbury, N.Y.)

|August 1, 2024

Summary

This study presents a new nonlinear gain saturation law applicable to various physical systems, including aeroacoustics and lasers. The proposed model offers a simpler gain term for self-oscillators under large perturbations.

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Area of Science:

Nonlinear dynamics
Theoretical physics
Acoustics and Photonics

Background:

Nonlinear gain saturation is observed in diverse physical systems.
Existing models like Van der Pol do not fully capture these phenomena.
A need exists for a more representative nonlinear gain saturation law.

Purpose of the Study:

Introduce a novel nonlinear gain saturation law.
Describe its relevance to phenomena like aeroacoustic shear layers and thermoacoustic instabilities.
Highlight its potential application in active laser media.

Main Methods:

Theoretical formulation of a nonlinear gain saturation law.
Analysis of self-oscillator behavior under large amplitude perturbations.
Comparison with existing models such as the Van der Pol oscillator.

Main Results:

The proposed law accurately represents experimentally observed properties.
It governs the full-scale behavior of self-oscillators with linear loss.
The model features a simple, well-behaved gain term in slow timescale dynamics.

Conclusions:

The introduced nonlinear gain saturation law is broadly applicable.
It provides a valuable theoretical framework for understanding complex oscillatory systems.
The model's simplicity and accuracy make it suitable for diverse physical applications.