论文标题
（极化）光的随机和细球理论
Stochastic and corpuscular theory of (polarized) light
论文作者
论文摘要
在文献中，光线学理论和随机过程的理论都是众所周知的。但是，它们没有系统地一起用于描述光学现象。有光学现象，例如众所周知的三极化器实验或与光的极化相关的其他现象，这些现象从未被定量和定性地使用光（光子）的概念进行定性解释。在2022年引入了随机过程框架内制定的随机记忆和独立（IM）过程时，情况发生了变化。它适合确定根据实验数据表征具有光学元件的单个光子相互作用（传输或反射）的概率（密度）函数。该过程具有无内存（Markov）属性，并且假定各个光子与光学系统的相互作用是独立的。得出了在光的两极化背景下分析数据所需的公式。进行三极化器实验的示例分析，并确定概率（密度）函数的数值结果。这些原始结果在文献中缺少。结果表明，可以在随机IM过程和一般来说的随机过程理论的帮助下显着扩展光的光线理论来描述光学现象的可能性。
Both the corpuscular theory of light and the theory of stochastic processes are well known in literature. However, they are not systematically used together for description of optical phenomena. There are optical phenomena, such as the well known three-polarizers experiment or other phenomena related to polarization of light, which have never been quantitatively and qualitatively explained using the concept of quantum of light (photon). The situation changed in 2022 when stochastic memoryless and independent (IM) process formulated within the framework of the theory of stochastic processes was introduced. It is suitable for determination of probability (density) functions characterizing interaction (transmission or reflection) of individual photons with optical elements on the basis of experimental data. The process has memoryless (Markov) property and it is assumed that the interactions of individual photons with an optical system are independent. Formulae needed for analysis of data in the context of polarization of light are derived. An example analysis of the three-polarizers experiment is performed and numerical result of the probability (density) functions are determined. These original results were missing in literature. The results imply that the possibilities of the corpuscular theory of light to describe optical phenomena can be significantly extended with the help of stochastic IM process and the theory of stochastic processes in general.
