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Examination of singular scalar light fields using wavelet processing of fork fringes

机译:使用叉形条纹的小波处理检查奇异的标量光场

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摘要

A single frame fork fringe pattern automatic processing method for detecting optical vortices in coherent light fields using two-dimensional continuous wavelet transformation is proposed. When a vortex sign is of no importance, it is sufficient to calculate the fork interferogram modulation distribution and its normalized gradient map to establish vortex locations without resorting to complicated phase calculations. Normalization of modulation gradient maps enables unambiguous vortex discrimination from local modulation minima without phase singularity. The issue of vortex detection resolution versus carrier fringe frequency and orientation is discussed. Corroboration of simulation and experimental studies of integer and noninteger singular light beams as well as speckle fields reported in the literature and analyzed using different approaches is presented.
机译:提出了一种利用二维连续小波变换检测相干光场中旋涡的单帧叉状条纹自动处理方法。当涡旋符号不重要时,无需借助复杂的相位计算即可计算出叉形干涉图调制分布及其归一化的梯度图以建立涡旋位置就足够了。调制梯度图的归一化使得可以明确地从局部调制最小值中分辨出旋涡,而没有相位奇异性。讨论了涡旋检测分辨率与载波条纹频率和方向的关系。提出了对整数和非整数奇异光束以及散斑场进行仿真和实验研究的佐证,文献中报道了这种散斑场并使用了不同的方法进行了分析。

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