Tudor Tiberiu
Faculty of Physics, University of Bucharest, Măgurele, Romania.
Appl Opt. 2012 Apr 1;51(10):C184-92. doi: 10.1364/AO.51.00C184.
In the last decade we have elaborated a mathematical tool for the description of the interaction of polarized light with polarization devices, alternative to the standard matrix (Jones and Mueller) formalisms, namely a vectorial pure operatorial Pauli algebraic one. After a brief, coherent survey of this formalism, we present some applicative results obtained in this frame, referring to the gain and the modification of the state of polarization at the interaction of the polarized light with deterministic devices. Due to an adequate parameterization of the problem, specific to this method, symmetric expressions of the gain and of the generalized Malus' law are obtained. On the other hand, the equation of the ellipsoid in which a Poincaré sphere of a given degree of polarization is mapped by such a device can be established.
在过去十年中，我们精心构建了一种数学工具，用于描述偏振光与偏振器件的相互作用，它是标准矩阵（琼斯和穆勒）形式体系的替代方案，即一种矢量纯算符泡利代数形式体系。在对这种形式体系进行简要、连贯的概述之后，我们展示了在此框架下获得的一些应用结果，涉及偏振光与确定性器件相互作用时的增益以及偏振态的改变。由于针对此方法对问题进行了适当的参数化，得到了增益和广义马吕斯定律的对称表达式。另一方面，可以建立一个椭球方程，通过这样的器件，给定偏振度的庞加莱球会映射到该椭球中。
