Réfrégier Philippe, Goudail François, Chavel Pierre, Friberg Ari
Physics and Image Processing Group, Fresnel Institute, Unité Mixte de Recherche 6133, Ecole Généraliste d'Ingénieurs de Marseille, Domaine Universitaire de Saint-Jérôme, 13397 Marseille 20, France.
J Opt Soc Am A Opt Image Sci Vis. 2004 Nov;21(11):2124-34. doi: 10.1364/josaa.21.002124.
We have analyzed entropy properties of coherent and partially polarized light in an arbitrary number of spatial dimensions. We show that for Gaussian fields, the Shannon entropy is a simple function of the intensity and of the Barakat degree of polarization. In particular, we provide a probabilistic interpretation of this definition of the degree of polarization. Using information theory results, we also deduce some physical properties of partially polarized light such as additivity of the entropy and depolarization effects induced by mixing partially polarized states of light. Finally, we demonstrate that entropy measures can play an important role in segmentation and detection tasks.
我们分析了任意空间维度下相干光和部分偏振光的熵特性。我们表明，对于高斯场，香农熵是强度和巴拉卡特偏振度的简单函数。特别地，我们给出了这种偏振度定义的概率解释。利用信息论结果，我们还推导出了部分偏振光的一些物理性质，如熵的可加性以及光的部分偏振态混合所引起的退偏振效应。最后，我们证明熵测度在分割和检测任务中可以发挥重要作用。
