论文标题
分散的完美光学涡流中的相关性
Correlations in scattered perfect optical vortices
论文作者
论文摘要
我们已经研究了由完美光学涡流（POV）梁的散射产生的斑点模式的相关性，并将其用于产生新的相干函数，即贝塞尔相干函数。较高的（零）序列贝塞尔相干函数已经在交叉（自动） - 相互关系中实现，这是通过不同阶的完美涡流梁散射而产生的斑点图案之间的相互关系。我们还研究了产生的贝塞尔相干函数的传播，并表征了它们相对于其第一个环半径的不同阶数，以不同的顺序m = 0--4。我们观察到差异随相干函数的顺序线性变化。我们为自动相关以及斑点模式的互相关函数提供了精确的分析表达。我们的实验结果与分析结果非常吻合。
We have studied correlations in the speckle patterns generated by the scattering of perfect optical vortex (POV) beams and used them for producing a new-class of coherence functions, namely Bessel coherence functions. Higher (zeroth) order Bessel coherence functions have been realized in cross (auto)-correlation between the speckle patterns generated by the scattering of perfect vortex beams of different orders. We have also studied the propagation of produced Bessel coherence functions and characterized their divergence with respect to the radius of their first ring for different orders m=0--4. We observed that the divergence varies linearly with the order of the coherence function. We provide the exact analytical expression for the auto-correlation as well as cross-correlation functions for speckle patterns. Our experimental results are in good agreement with the analytical results.
