We investigate numerically the pattern formation in 2-μm thulium-doped Mamyshev fiber oscillators, associated with the dissipative Faraday instability. The dispersion-managed fiber ring oscillator is designed with commercial fibers, allowing the dynamics for a wide range of average dispersion regimes to be studied, from normal to near-zero cavity dispersion where the Benjamin–Feir instability remains inhibited. For the first time in the 2-μm spectral window, the formation of highly coherent periodic patterns is demonstrated numerically with rates up to ∼100 GHz. In addition, irregular patterns are also investigated, revealing the generation of rogue waves via nonlinear collision processes. Our investigations have potential applications for the generation of multigigahertz frequency combs. They also shed new light on the dissipative Faraday instability mechanisms in the area of nonlinear optical cavity dynamics.

中文翻译：

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与耗散法拉第不稳定性相关的 2-μm Tm Mamyshev 振荡器中的图案形成

我们从数值上研究了与耗散法拉第不稳定性相关的 2 μm 掺铥 Mamyshev 光纤振荡器中的图案形成。色散管理光纤环形振荡器是用商业光纤设计的，允许研究各种平均色散状态的动力学，从正常到接近零的腔色散，其中 Benjamin-Feir 不稳定性仍然受到抑制。首次在 2 μm 光谱窗口中，以高达 100 GHz 的速率在数值上证明了高度相干周期性图案的形成。此外，还研究了不规则模式，揭示了通过非线性碰撞过程产生的流氓波。我们的研究对于产生多千兆赫频率梳具有潜在的应用。