Réfrégier Philippe, Roche Muriel, Goudail François
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 cedex 20, France.
J Opt Soc Am A Opt Image Sci Vis. 2006 Jan;23(1):124-33. doi: 10.1364/josaa.23.000124.
We propose a rigorous definition of the minimal set of parameters that characterize the difference between two partially polarized states of light whose electric fields vary in three dimensions with Gaussian fluctuations. Although two such states are a priori defined by eighteen parameters, we demonstrate that the performance of processing tasks such as detection, localization, or segmentation of spatial or temporal polarization variations is uniquely determined by three scalar functions of these parameters. These functions define a "polarimetric contrast" that simplifies the analysis and the specification of processing techniques on polarimetric signals and images. This result can also be used to analyze the definition of the degree of polarization of a three-dimensional state of light with Gaussian fluctuations in comparison, with respect to its polarimetric contrast parameters, with a totally depolarized light. We show that these contrast parameters are a simple function of the degrees of polarization previously proposed by Barakat [Opt. Acta 30, 1171 (1983)] and Setälä et al. [Phys. Rev. Lett. 88, 123902 (2002)]. Finally, we analyze the dimension of the set of contrast parameters in different particular situations.
我们提出了一组参数的严格定义，这些参数构成了两个部分偏振光状态之间差异的最小集合，其电场在三维空间中呈高斯波动变化。尽管先验地由十八个参数定义了这样的两个状态，但我们证明，诸如空间或时间偏振变化的检测、定位或分割等处理任务的性能，由这些参数的三个标量函数唯一确定。这些函数定义了一种“偏振对比度”，它简化了对偏振信号和图像的处理技术的分析和规范。该结果还可用于分析具有高斯波动的三维光状态的偏振度定义，相对于其偏振对比度参数，与完全去偏振光进行比较。我们表明，这些对比度参数是Barakat [《光学学报》30, 1171 (1983)] 和Setälä等人 [《物理评论快报》88, 123902 (2002)] 先前提出的偏振度的简单函数。最后，我们分析了不同特定情况下对比度参数集的维度。
