We propose a linear mapping relationship between the polarization of the fundamental mode and the cylindrical vector (CV) modes on the first-order Poincare sphere (FOPS) in fiber. The new method is based on the four-dimensional complex Jones matrices in terms of the linearly polarized mode bases. With our theoretical model, an all-fiber approach to generate arbitrary CV beams on the FOPS is proposed theoretically and verified experimentally. In the experiment, through the combination of a mode converter and a two-segment cascaded few-mode fiber with fixed stresses, it is possible to generate all CV modes on the FOPS by only adjusting the polarization of the fundamental mode. The Stokes parameters of the output light are measured to verify our scheme, which shows good agreement with the theoretical prediction. The method may provide a convenient way to generate CV beams and evolve the polarization states in any path on the FOPS, which is expected to have potential applications in encoding information and quantum computation.

中文翻译：

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一阶庞加莱球上任意圆柱矢量光束的全光纤生成

我们提出了光纤中一阶庞加莱球 (FOPS) 上的基模偏振和柱面矢量 (CV) 模式之间的线性映射关系。新方法基于线性偏振模基方面的四维复数琼斯矩阵。使用我们的理论模型，理论上提出了一种在 FOPS 上生成任意 CV 光束的全光纤方法，并通过实验进行了验证。在实验中，通过模式转换器和固定应力的两段级联少模光纤的组合，可以仅通过调整基模的偏振在FOPS上生成所有CV模式。测量输出光的斯托克斯参数以验证我们的方案，这与理论预测非常吻合。