Timing-injection locking in a self-starting Mamyshev oscillator induced by the dissipative Faraday instability

Kavli Affiliate: Jia Liu

| First 5 Authors: Changqing Li, Ran Xia, Yutai Zhao, Yifang Li, Jia Liu

| Summary:

Mamyshev oscillators (MOs), a novel class of passively mode-locked fiber
lasers, serve as an excellent platform to explore complex nonlinear dynamics,
ranging from localized sturctures to chaos. Despite their versatility,
achieving self-starting mode-locking remains a significant challenge,
especially in the normal dispersion regime. In this study, we unveil the
critical role of the dissipative Faraday instability (DFI) in facilitating the
self-starting process of MOs, where the DFI triggers the symmetry breaking of
the homogeneous solution to overcome the initiation barriers. This discovery
provides a panoramic view of several distinct operational regimes with distinct
DFI patterns for the very first time, namely the non-self-starting states, the
irregular patterns, the harmonic mode locking regime, the stable single pulse
and the stable multi pulse regime. For the lattest case, we uncover the origins
of randomness in these pulse sequences through analyzing the causality between
the timing of the random pulses and the initial iterative condition, referred
to as the embryonic light. Building upon these findings, we propose the novel
time-injection locking (TIL) technique to customize the temporal locations of
the pulses as well as the pattern timing in MOs, thus demonstrating its
potential for applications in all-optical data storage and tunable ultrashort
pulse sources.

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