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Spatial coherence modulus retrieval using a method based on the fringe pattern histogram

机译:使用基于条纹图案直方图的方法的空间相干模量检索

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A spatial coherence analysis of the light scattering in turbid media, illuminated by a laser source, is presented. Classical degree of coherence modulus measurements require the determination of a fringe pattern visibility. This measurement needs complex algorithms for detecting the fringes minima and maxima on the digitized image. We describe here an easy method to extract the average visibility from the digitized fringe pattern histogram. In the first part, we present the mathematical basis of the method which is obtained from the classical intensity distribution of an interference pattern. This method requires slow spatial variations fringes size compared with the spatial carried frequency. Furthermore, the intensity of the two arms of the interferometer must be equal. If these conditions are assumed, we can easily extract the degree of spatial coherence modulus directly from the histogram of the fringe pattern. The efficiency of the method has been proved using computed interference fringes. In the second part, we apply the histogram analysis on real fringe interference measured in turbid media (seawater). The estimated spatial coherence magnitude is compared with results obtained by classical method. This comparison shows the validity of the histogram method. In conclusion a discussion is made about the advantages and the limits of the proposed method.
机译:提出了由激光源照射的混浊介质中光散射的空间相干性分析。经典的相干模量测量需要确定条纹图案可视性。该测量需要复杂的算法,用于检测数字化图像上的条纹最小值和最大值。我们在这里描述了一种简单的方法,可以从数字化边缘图案直方图中提取平均可见性。在第一部分中,我们介绍了从干扰图案的经典强度分布获得的方法的数学依据。与空间携带频率相比,该方法需要慢速空间变化尺寸的尺寸。此外,干涉仪的两个臂的强度必须相等。如果假设这些条件,我们可以通过条纹图案的直方图轻松提取空间相干模量的程度。使用计算的干扰条纹证明了该方法的效率。在第二部分中,我们在浊度介质(海水)中测量的实际边缘干扰的直方图分析。将估计的空间相干幅度与通过经典方法获得的结果进行比较。此比较显示了直方图方法的有效性。总之,讨论了所提出的方法的优点和界限。

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