RESUMO
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.
RESUMO
In this paper, as a supplement to Part I, three examples will be provided to verify our methods. In the first example of a double Gauss system, the chromatic aberrations calculated by our methods and those given by the Seidel aberrations are compared. Then we will present two examples analyzing the generalized chromatic aberrations in refractive system with freeform surfaces by our methods. The stereomicroscope is utilized to demonstrate the feasibility and consistency of both ray- and wavefront-based methods. The anamorphic imaging objective lens proves that it is necessary to consider the pupil aberration when it cannot be neglected. In both examples, the surface decomposed a full-field display of the chromatic aberrations shows us that it is a convenient and powerful tool to analyze the generalized chromatic aberrations in nonrotationally symmetric refractive optical systems.
