Laminar-Turbulent Transition in Raman Fiber Lasers: A First Passage Statistics Based Analysis

TL;DR

This paper introduces a novel statistical method based on first passage statistics to accurately identify laminar-turbulent phase transitions in Raman fiber lasers, enhancing non-invasive analysis of laser stability.

Contribution

It presents a new self-consistent statistical approach for classifying laser regimes and detecting phase transitions in Raman fiber lasers, improving stability analysis.

Findings

Reliable detection of laminar-turbulent transition across various pump powers

High accuracy in classifying laser regimes using the proposed method

Consistent results validated over a wide parameter range

Abstract

Loss of coherence with increasing excitation amplitudes and spatial size modulation is a fundamental problem in designing Raman fiber lasers. While it is known that ramping up laser pump power increases the amplitude of stochastic excitations, such higher energy inputs can also lead to a transition from a linearly stable coherent laminar regime to a non-desirable disordered turbulent state. This report presents a new statistical methodology, based on first passage statistics, that classifies lasing regimes in Raman fiber lasers, thereby leading to a fast and highly accurate identification of a strong instability leading to a laminar-turbulent phase transition through a self-consistently defined order parameter. The results have been consistent across a wide range of pump power values, heralding a breakthrough in the non-invasive analysis of fiber laser dynamics.