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Spectral-filtering-induced phase transition in passively mode-locked fiber lasers

Published 23 Jun 2025 in physics.optics and nlin.PS | (2506.18468v1)

Abstract: We investigate the effect of a tunable spectral filter on the dynamics of a passively mode-locked fiber laser in the anomalous dispersion regime. The results show that noise-like pulse emission evolves toward bound-state regime as the filter bandwidth is reduced. Thanks to the Shannon entropy applied to dispersive Fourier transform signals, it is demonstrated that the system undergoes a phase transition.

Summary

  • The paper reveals that narrowing the spectral filter bandwidth triggers a phase transition from disordered noise-like pulses to ordered bound solitons.
  • The study employs a tunable super-Gaussian filter and nonlinear polarization evolution in an all-fiber erbium-doped setup, confirming results across multiple central wavelengths.
  • The analysis uses Shannon entropy on dispersive Fourier transform signals to quantify the transition, offering insights into controlling soliton dynamics in fiber lasers.

Spectral-Filtering-Induced Phase Transition in Passively Mode-Locked Fiber Lasers

The study presented in the paper investigates the impact of spectral filtering on the dynamic behavior of passively mode-locked fiber lasers, focusing particularly on the anomalous dispersion regime. Through experimental results, it demonstrates that reducing the spectral filter bandwidth can induce a transition from a noise-like pulse (NLP) emission to a bound state regime. This transition has been characterized akin to a phase transition, utilizing Shannon entropy applied to dispersive Fourier transform signals to quantify these effects.

Passively mode-locked fiber lasers are instrumental in generating ultrashort pulses valuable in telecommunications, biomedical imaging, and material processing. These pulses are products of a delicate balance among dispersion, nonlinear effects, gain, and losses. The study of such systems is significant due to their complex dynamics and non-conservative nature. Traditional methods for achieving passive mode-locking incorporate the optical Kerr effect through mechanisms such as nonlinear polarization evolution (NPE) and nonlinear amplifying loop mirrors (NALM).

The study builds on previous research indicating that spectral filtering in fiber laser cavities can influence multipulsing and other laser states. In this experimental study, the researchers achieved the mode-locked state by employing a tunable super-Gaussian filter along with NPE. They systematically adjusted the filter bandwidth, demonstrating that narrowing the bandwidth leads to the formation of bound solitons. This manifests as a transition from a disordered state, characterized by noise-like pulses, to an ordered state of bound solitons.

The experimental setup comprises an all-fibered erbium-doped laser with a unidirectional ring cavity. Mode-locking is attained through NPE, and spectral filtering is realized using an optical tunable filter (OTF). The experimental results are notably self-consistent across different central wavelengths, underpinning the generalization of the findings. The transition to a bound state is evidenced by a significant change in the spectral characteristics of the output, shifting from a broad spectral width in the noise-like pulse regime to a modulated spectrum representing bound solitons.

Crucially, this phase transition was monitored using the Shannon Entropy (SE), a concept from information theory that quantifies the degree of disorder. The Shannon Entropy, applied to dispersive Fourier transformed signals, showed a significant decrease in entropy as the system transitioned to an ordered state. This drop in entropy corroborates the idea of a phase transition, reflecting a shift from a highly disordered state to a more ordered configuration of solitons.

In practical terms, this study offers insights into the control mechanisms for soliton dynamics within fiber lasers, shedding light on potential avenues for the development of novel laser sources with tailored output characteristics. The theoretical implication suggests a deeper understanding of thermodynamic-type transitions in these non-conservative systems, drawing parallels to classical phase transitions.

The results pave the way for further investigation into the thermodynamic properties of dissipative solitons in fiber lasers, potentially leading to advancements in laser technology and new applications in precision high-speed communications and ultrafast laser systems. Future research could focus on exploring other controllable parameters within laser cavities to achieve desirable soliton characteristics and examining the impact of these findings on broader laser physics.

This study's findings enhance the comprehension of how spectral filtering can be harnessed to manipulate the dynamic regimes of mode-locked fiber lasers, presenting both theoretical and technological implications that could inspire future research within the laser physics community.

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