Lin Psang Dain
J Opt Soc Am A Opt Image Sci Vis. 2024 Apr 1;41(4):674-685. doi: 10.1364/JOSAA.510253.
Non-axially symmetrical optical systems can provide better solutions to several optical design problems. However, determining their wavefront aberrations is challenging due to the great diversity of their configurations. Accordingly, in the present study, the optical path length (OPL) between two boundaries in a non-axially symmetrical system is expanded by a Taylor series expansion with respect to the base ray. This expansion converts the OPL from a deep composite function to a polynomial form. The various order wavefront aberrations are then obtained from the coefficients of the polynomials in terms of the system independent variables. The proposed method is equally valid for axially symmetrical systems provided that the object is placed on the meridional plane. Overall, the method provides a systematic approach for analyzing the wavefront aberrations in a wide range of optical systems.
非轴对称光学系统可以为几个光学设计问题提供更好的解决方案。然而，由于其配置的巨大多样性，确定它们的波前像差具有挑战性。因此，在本研究中，非轴对称系统中两个边界之间的光程长度（OPL）通过相对于基准光线的泰勒级数展开来扩展。这种展开将OPL从一个深度复合函数转换为多项式形式。然后根据系统自变量从多项式的系数中获得各种阶次的波前像差。所提出的方法对于轴对称系统同样有效，前提是物体放置在子午面上。总体而言，该方法为分析各种光学系统中的波前像差提供了一种系统的方法。
