完全偏振光在圆/椭圆基矢下的表征及其光矢轨迹做图法

Expressions of Totally Polarized Light Employing Circular and Elliptical Basic Vectors and Methods of Locus Plotting of Optical Vectors

完全偏振光的圆基矢与椭圆基矢表述是表征光学偏振态的两种重要手段。基于偏振光学理论与琼斯矩阵算法,导出了两套采用圆基矢与椭圆基矢表述光的偏振态的基本公式;提出用光矢的两个元素同时表示四个物理参量的方法与先将复的光矢分解成两个列矢之和,再用这两个列矢形成的椭圆叠加形成最终椭圆的处理复光矢做图问题的方法;利用一些典型偏振态的例子评估了方法的可行性。结果表明导出的理论结果正确,提出的方法可行。

The expressions of totally polarized light with circular and elliptical basic vectors are two of the approaches to characterize states of optical polarization. Based on the theory of polarization optics and Jones calculus, we derive two sets of fundamental formulae expressing the states of optical polarization exploiting circular and elliptical basic vectors, propose a way to describe simultaneously four physical parameters using two elements of an optical vector,and an approach of drawing complex optical vectorsls locuses. The first step of the approach is to turn the complex optical vector into the form of a sum of two row vectors, and then, to superpose the two ellipses drawn according to the two vectors, into the final ellipse. We assess the feasibility of the methods proposed here, exploiting some typical examples of states of optical polarization. The results show that the formulae derived here are correct and the methods proposed here are feasible.