Cai Danyun, Gross Herbert
Appl Opt. 2021 Jul 20;60(21):6313-6321. doi: 10.1364/AO.427941.
In non-rotationally symmetric optical systems, chromatic aberrations must be defined in a generalized way with reference to the optical axis ray and optimal tilted parabasal image plane of the central wavelength. In this paper, the definition of generalized chromatic aberrations is clarified. The mathematical calculation in optical systems with arbitrary symmetry and surface shape is realized by ray- and wavefront-based methods, respectively, that are originally identical. The additivity of wavefront after each surface ensures the surface decomposition of chromatic aberrations. In the end, the influence of pupil aberration, which is of a higher order, is discussed. The consistency of our methods with Seidel aberrations in the lowest aberration order of the rotationally symmetric system and the application of our methods in diverse non-rotationally symmetric refractive systems will be addressed in detail in Part II.
在非旋转对称光学系统中，色差必须以广义的方式参照光轴光线和中心波长的最佳倾斜近轴像面来定义。本文阐明了广义色差的定义。分别通过基于光线和基于波前的方法实现了具有任意对称性和表面形状的光学系统中的数学计算，这两种方法原本是相同的。每个表面之后波前的可加性确保了色差的表面分解。最后，讨论了高阶光瞳像差的影响。我们的方法与旋转对称系统最低像差阶次中的赛德尔像差的一致性以及我们的方法在各种非旋转对称折射系统中的应用将在第二部分详细阐述。
