Rogue wave in ultrafast fiber lasers is a hot research topic of nonlinear optics, which is generally monitored at the fixed cavity positions, despite its dramatic intra-cavity evolution. The shot-to-shot statistical properties change significantly if the chaotic pulse experiences strong changes along the cavity, which is rarely considered in the past. Here, we simulate the dynamic evolution of the rogue wave in the dispersion-managed fiber laser. Attributing to the temporal structure change induced by the dispersion, the rogue wave within the noise-like pulse appears in a limited cavity region while disappears in the rest parts. It is also demonstrated that the dispersion is capable of manipulating rogue waves in the pulse trains outside the cavity. Our results offer insightful views on the properties of chaotic waves in ultrafast lasers.

中文翻译：

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色散管理光纤激光器中杂波的形成和统计特性

超快光纤激光器中的流氓波是非线性光学的一个热门研究课题，尽管其腔内演化剧烈，但通常在固定腔位置进行监测。如果混沌脉冲沿腔发生强烈变化，则每次发射的统计特性会发生显着变化，这在过去很少考虑。在这里，我们模拟色散管理光纤激光器中流氓波的动态演变。由于色散引起的时间结构变化，类噪声脉冲中的杂波出现在有限的空腔区域，而在其余部分消失。还证明了色散能够操纵腔外脉冲序列中的杂散波。我们的结果提供了关于超快激光器中混沌波特性的深刻见解。