论文标题
扰动光学涡旋的强度相关性：拓扑电荷的诊断
Intensity correlations in perturbed optical vortices: Diagnosis of the topological charge
论文作者
论文摘要
我们建议并通过实验验证一种新的方案，用于使用其2-D空间自相关函数诊断扰动光学涡流的顺序。发现涡流的顺序等于相关函数中存在的暗环数或零点的数量。我们为Laguerre多项式的形式提供了相关函数的紧凑分析表达。此外，我们还利用了传播后Laguerre多项式的第一个零点的差异来获取有关高阶空间模式的信息，并将其与我们的实验结果进行了比较。已经表明，通过增加散射涡流束的收集面积，可以进一步增强获得信息的准确性。这些结果发现在自由空间光学和卫星通信中的应用，因为所提出的技术是无对齐的，即使使用一小部分散射梁也可以获取信息。
We propose and experimentally verify a novel scheme for diagnosing the order of a perturbed optical vortex using its 2-D spatial autocorrelation function. The order of a vortex was found to be equal to the number of dark rings or zero points present in the correlation function. We have provided a compact analytical expression for the correlation function in the form of Laguerre polynomials. Further, we have utilized the divergence of the first zero point of Laguerre polynomials upon propagation to obtain information about higher-order spatial modes, and compared it with our experimental results. It has been shown that the accuracy of obtained information can further be enhanced by increasing the collection area of scattered vortex beams. These results find applications in free-space optical and satellite communication as the proposed technique is alignment-free, and information can be obtained even with a small portion of the scattered beam.
