Department of Physics, University of Toronto, 60 St. George St., Toronto, Ontario M5S 1A7, Canada.
Opt Lett. 2011 Aug 1;36(15):2821-3. doi: 10.1364/OL.36.002821.
Mueller and Jones matrices have been thoroughly studied as mathematical tools to describe the manipulation of the polarization state of classical light. In particular, the most general physical transformation on the polarization state has been represented as an ensemble of Jones matrices, as ∑iV(i)ΦV(i)(†). But this has generally been directly assumed without proof by most authors. In this Letter, we derive this expression from simple physical principles and the matrix theory of positive maps.
Mueller 和 Jones 矩阵作为描述经典光偏振态操纵的数学工具已经得到了深入研究。特别是，偏振态的最一般物理变换被表示为琼斯矩阵的集合，如∑iV(i)ΦV(i)(†)。但大多数作者通常只是直接假设，而没有证明。在这封信中，我们从简单的物理原理和正映射的矩阵理论推导出这个表达式。
