【摘要】 本文从光学位置坐标算符和正则动量算符的定义以及线性光学系统光学算符的幺正性假设出发,由线性系统的普遍性质建立光学系统算符表示和矩阵表示的关联方程,进而利用该方程实现了光学算符和光学矩阵的互为导出,因此证明了光学算符法和矩阵法的等效对应关系。最后,本文说明了光学算符的物理意义。更多还原

【Abstract】 This paper discusses the relationship between operator methods and matrix methods in optics. Based on the definition of optical variable operators and the hypothesis that optical operators of linear optical systems are unitary, the relation equation dealing with the relationship between operator methods and matrix methods in optics has been obtained from the general property of linear systems. For a given optical system, its optical operator can be derived from its optical matrix by solving the relation equation. And if the optical operator of a system is given, its optical matrix can also be derived from that equation. Thus the equivalency between operator methods and matrix methods in optics is demonstrated. Finally, the physical significance of the optical operator h has been pointed out.更多还原