论文标题
表达一般度纯度纯度的双重方法
Dual Approaches to Express the Generalized Degree of Polarimetric Purity
论文作者
论文摘要
极化纯度的程度是一个不变的无量纲数量，它表征了波浪与纯状态的极化状态的接近度，并且与von Neumann熵有关。以二阶统计量（即协方差矩阵）为特征的平面波的偏振纯度由极化程度唯一描述。但是，仅当波传播方向固定时，第二张形式主义才适用。该假设在光学和雷达极化测量中是典型的。因此，必须考虑所有组件来描述波极化的总体状态。从Samson和Barakat开始，在文献中提出了几种不同的概念来描述3D度的极化程度。我们讨论了实现这种描述的两种新方法：通过变异系数和直接分解。
The degree of polarimetric purity is an invariant dimensionless quantity that characterizes the closeness of a polarization state of a wave to a pure state and is related to the Von Neumann entropy. The polarimetric purity of a plane wave characterized by the second-order statistics (i.e., the covariance matrix) is uniquely described by the degree of polarization. However, the 2D formalism is only applicable when the wave propagation direction is fixed. This assumption is typical in optical and radar polarimetric measurements. Therefore, one must consider all the components to describe the general state of wave polarization. Starting from Samson and Barakat, several different concepts have been proposed in the literature to describe the 3D degree of polarization. We discuss two new ways of achieving such description: by the Coefficient of Variation and by a Direct Sum Decomposition.
