几何偏振测量-第一部分：旋量和波态
Geometric Polarimetry - Part I: Spinors and Wave States
摘要：
介绍了一种新的极化代数方法。它利用旋量的几何性质，以表示波状态在三维空间中的任意方向一致。在这第一个临时文件的一个系列的基本推导的旋波状态被认为是几何相关的电磁场张量在时空傅立叶域。从电磁场中提取偏振态需要引入一个新元素，该新元素线性地进入定义关系。我们称这个元件为相位标志，正是相位标志在坐标系改变时跟踪偏振参考，并为两个波分量提供相位原点。这样我们就可以把三维单位波矢的球面与庞加莱球面等同起来。
英文摘要：
A new approach to polarization algebra is introduced. It exploits the geometric properties of spinors in order to represent wave states consistently in arbitrary directions in three dimensional space. In this first expository paper of an intended series the basic derivation of the spinorial wave state is seen to be geometrically related to the electromagnetic field tensor in the spatio-temporal Fourier domain. Extracting the polarization state from the electromagnetic field requires the introduction of a new element, which enters linearly into the defining relation. We call this element the phase flag and it is this that keeps track of the polarization reference when the coordinate system is changed and provides a phase origin for both wave components. In this way we are able to identify the sphere of three dimensional unit wave vectors with the Poincare' sphere.
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