论文标题
极化四基因及其应用：Q/U Stokes参数的联合表示和E/B模式极化
The polarization quaternion and its applications: a joint representation of the Q/U Stokes parameters and E/B mode polarizations
论文作者
论文摘要
在这项工作中，我们指出Q/U Stokes参数和E/B模式极化是独特的四个组件的四个组成部分，同时描述了球形线性极化的方向和平价状态。然后，我们指出，借助这种极化的四个元素，所有Q/U和E/B变换的数学形式被大大简化，这在某种程度上只需要一个针对每个变换的四个四基因乘法。极化四基因的初步应用显示为检测E-和B型荷内特殊的像素域模式的示例，这是偏振季节的前者和后者的一半。
In this work, we point out that the Q/U Stokes parameters and E/B mode polarizations are the four components of a unique quaternion, which describes at the same time the directions and the parity states of spherical linear polarizations. We then point out that, with this polarization quaternion, the mathematical form of all Q/U and E/B transforms are greatly simplified, to an extent that requires only one quaternion multiplication for each transform. A preliminary application of the polarization quaternion is shown as an example to detect peculiar pixel domain patterns within the E- and B-families, which are the former and latter halves of the polarization quaternion.
