The dependence of the Shannon entropy (SE) of a speckle pattern on the degree of polarization (DoP) of the pattern is investigated both experimentally and numerically. The superposition of two uncorrelated speckle patterns with polarization diversity is utilized to control the DoP of the superposed speckle pattern, and the SE of the pattern is estimated from the determined probability density function of intensity of the pattern. The SE is observed to be increasing quadratically with the DoP of the speckle pattern. The experimental observations are supported by the numerical studies. As the change of the SE indicates a change in the randomness of the intensity distribution, the variation of the standard deviation of intensity with the DoP is also investigated. Moreover, a linear relation between the SE and the standard deviation of intensity of a speckle pattern is also established.

中文翻译：

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香农熵和斑点图案的偏振度

通过实验和数值研究斑点图案的香农熵（SE）对图案偏振度（DoP）的依赖性。利用具有偏振分集的两个不相关的斑点图案的叠加来控制重叠的斑点图案的DoP，并且根据所确定的图案强度的概率密度函数来估计图案的SE。观察到SE随着斑点图案的DoP呈二次方增加。实验结果得到数值研究的支持。由于SE的变化表明强度分布的随机性发生变化，因此还研究了强度标准偏差随DoP的变化。此外，