Unlike the conventional spin Hall effect of light (SHEL) originating from the light-matter interaction, the spin-dependent splitting in the geometric SHEL is purely a geometric effect and independent from the properties of matter. Here it is shown that the geometric SHEL is not only of fundamental theoretical interest in understanding the spin-orbit interaction of light, but also sheds light on important technological applications. This Letter describes the theoretical foundation and experimental realization of optical differential operation and one-dimensional edge detection based on the geometric SHEL.

中文翻译：

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基于光的几何自旋霍尔效应的空间差分运算和边缘检测。

与源自光-物质相互作用的常规自旋霍尔光效应（SHEL）不同，几何SHEL中自旋相关的分裂纯粹是一种几何效应，与物质的性质无关。在此表明，几何SHEL不仅在理解光的自旋轨道相互作用方面具有重要的理论意义，而且还为重要的技术应用提供了启示。这封信描述了基于几何SHEL的光学微分运算和一维边缘检测的理论基础和实验实现。