论文标题

用于高分辨率涡流模式排序的广义螺旋转换

Generalized spiral transformation for high-resolution sorting of vortex modes

论文作者

Cheng, Jie, Wan, Chenhao, Zhan, Qiwen

论文摘要

我们提出了一种广义的螺旋转换方案,该方案多才多艺,以结合各种类型的螺旋形,例如阿基赛马螺旋和费尔玛螺旋。利用等距的功能,我们选择了阿基米德式螺旋映射,并在高分辨率轨道角度动量模式排序中演示了其应用。鉴于固定的最小螺旋宽度,阿基赛马螺旋映射显示出优于对数螺旋映射的性能。这种广义转换方案还可以在光学转换中找到各种应用,并且可以轻松地扩展到与共形映射有关的其他字段。

We propose a generalized spiral transformation scheme that is versatile to incorporate various types of spirals such as the Archimedean spiral and the Fermat spiral. Taking advantage of the equidistant feature, we choose the Archimedean spiral mapping and demonstrate its application in high-resolution orbital angular momentum mode sorting. Given a fixed minimum spiral width, the Archimedean spiral mapping shows superior performance over the logarithmic spiral mapping. This generalized transformation scheme may also find various applications in optical transformation and can be easily extended to other fields related to conformal mapping.

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