标题： 时序注入锁定在由耗散法拉第不稳定性引起的自启动马姆舍夫振荡器中的应用 显示英文标题

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

摘要： Mamyshev振荡器（MOs）是一种新型的被动锁模光纤激光器，为探索从局部结构到混沌的复杂非线性动力学提供了优秀的平台。 尽管它们具有多功能性，实现自启动锁模仍然是一个重大挑战。 在本研究中，我们揭示了耗散法拉第不稳定性（DFI）在促进MOs自启动过程中的关键作用，其中DFI触发均匀解的对称性破缺以克服启动障碍。 提供了几种不同工作模式的全景视图，这些模式具有不同的DFI图案，即非自启动状态、不规则图案、谐波锁模区域、稳定单脉冲和稳定多脉冲区域。 对于最后一种情况，我们通过分析随机脉冲的时间与初始种子条件之间的因果关系，揭示了这些脉冲序列中随机性的来源。 基于这些发现，我们提出了新颖的时间注入锁定技术，以定制MOs中脉冲的时间位置以及模式时间，从而展示了其在全光数据存储和可调超短脉冲源中的应用潜力。 显示英文摘要

摘要： 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 structures to chaos. Despite their versatility, achieving self-starting mode-locking remains a significant challenge. 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. A panoramic view of several distinct operational regimes with distinct DFI patterns is provided, 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 seeding conditions. Building upon these findings, we propose the novel time-injection locking 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.