In this paper, we propose and experimentally demonstrate a vortex random fiber laser (RFL) with a controllable orbital angular momentum (OAM) mode. The topological charge of the vortex RFL can range from $-50\mathrm{t}\mathrm{o}50$ with nearly watt-level output power. A triangular toroidal interferometer is constructed to verify the spiral phase structure of the generated vortex random laser with a special coherence property. Vortex RFLs with fractional topological charge are also performed in this work. As the first demonstration of a vortex RFL with a controllable OAM mode (to the best of our knowledge), this work may not only offer a valuable reference on temporal modulation of a vortex beam and optical field control of an RFL but also provide a potential vortex laser source for applications in imaging, sensing, and communication.

中文翻译：

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具有可控轨道角动量模式的涡旋随机光纤激光器

在本文中，我们提出并通过实验证明了具有可控轨道角动量（OAM）模式的涡旋随机光纤激光器（RFL）。涡流RFL的拓扑电荷范围为$-50\mathrm{Ť}\mathrm{Ø}50$具有接近瓦特级的输出功率。构造了一个三角形环形干涉仪，以验证所产生的具有特殊相干特性的涡旋随机激光器的螺旋相位结构。在这项工作中还执行了带有分数拓扑电荷的涡流RFL。作为具有可控OAM模式的涡流RFL的首次演示（据我们所知），这项工作不仅可以为涡流束的时间调制和RFL的光场控制提供有价值的参考，而且还可以用于成像，传感和通信的涡旋激光源。