中心光学系统的算子公式

IF 0.6 Q4 PHYSICS, MULTIDISCIPLINARY
I. V. Demydenko
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引用次数: 0

摘要

目前,几何光学中使用了许多数学方法。本文提出了一种新的数学工具:算子形式,它描述了中心光学系统的近轴近似。这部作品是作者以往研究的思想上的延续。定义了球面的折射算子和反射算子。研究了这些算子的数学性质,建立了它们的物理解释。此外,还确定了球面的透镜算子和折射算子之间的关系。同时考虑了射线的行为,建立了无限坐标点的注入性和不简并性。算符的形式有助于找到完成给定变换的有心光学系统。此外,研究了光学算子的互换性,发现每个算子都有独特的作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Operator Formulation for Centered Optical Systems
Currently, there are many mathematical methods in use in geometric optics. This paper presents a new mathematical apparatus: an operator formalism, which describes centered optical systems in the paraxial approximation. This work is an ideological continuation of author’s previous research. The refraction and reflection operators of spherical surfaces are defined here. The mathematical properties of the operators are studied, and their physical interpretations are established. In addition, the relations between the lensing operator and the refraction operators of a spherical surface are determined. The behavior of rays is also considered, which helped to establish the injectivity and nondegeneracy for points with infinite coordinates. The operator formalism is helpful for finding a centered optical system that performs a given transformation. Moreover, the interchangeability of the optical operators is investigated, and it is found that each operator has a unique effect.
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来源期刊
Ukrainian Journal of Physics
Ukrainian Journal of Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.20
自引率
20.00%
发文量
244
期刊介绍: Ukrainian Journal of Physics is the general physics edition of the Department of Physics and Astronomy of the National Academy of Sciences of Ukraine. The journal publishes original papers and reviews in the fields of experimental and theoretical physics.
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