论文标题

测量空间上不相关的矢量场的不可分割性

Measuring the non-separability of spatially disjoint vectorial fields

论文作者

Aiello, Andrea, Hu, Xiao-Bo, Rodríguez-Fajardo, Valeria, Hernandez-Aranda, Raul I., Forbes, Andrew, Perez-Garcia, Benjamin, Rosales-Guzmán, Carmelo

论文摘要

结构化光的矢量形式在它们的空间和极化程度上是不可分割的,最近已成为其创造和控制的广泛工具包。相比之下,用于量化其不可分割性的工具包,极化结构的不均匀性,远远不够发达,在某些情况下完全失败了。为了克服这一点,我们在这里引入了一种新的媒介措施,我们在理论上和实验上都证明了这一点。我们考虑了一个普遍的情况,即局部极化同质性可以在整个场上(从标量到矢量)在空间上变化,如果复合标量磁场在传播过程中可以分离,则可以自然出现这种情况,从而导致空间不相关的矢量光。我们展示了新措施如何正确解释单个标量光束的局部路径样可分离性,即使全局矢量场仍然完好无损,它们也可能具有不同程度的不相交。我们的工作试图在分析此类复杂光场的分析中解决一个紧迫的问题,并在矢量极化光线的背景下提出了有关空间连贯性的重要问题。

Vectorial forms of structured light that are non-separable in their spatial and polarisation degrees of freedom have become topical of late, with an extensive toolkit for their creation and control. In contrast, the toolkit for quantifying their non-separability, the inhomogeneity of the polarisation structure, is far less developed, and in some cases fails altogether. To overcome this, here we introduce a new measure for vectorial light, which we demonstrate both theoretically and experimentally. We consider the general case where the local polarisation homogeneity can vary spatially across the field, from scalar to vector, a condition that can arise naturally if the composite scalar fields are path separable during propagation, leading to spatially disjoint vectorial light. We show how the new measure correctly accounts for the local path-like separability of the individual scalar beams, which can have varying degrees of disjointness, even though the global vectorial field remains intact. Our work attempts to address a pressing issue in the analysis of such complex light fields, and raises important questions on spatial coherence in the context of vectorially polarised light.

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