Wilde Jeffrey P
Appl Opt. 2024 Feb 1;63(4):1110-1124. doi: 10.1364/AO.507605.
When using ray tracing for optical system design, it is often the case that the designer would like to implement simplified versions of one or more compound lens groups. This could be the case during initial layout when idealized versions of such compound lenses are needed or, perhaps alternatively, to mimic a well-corrected commercially available lens for which the prescription details are unavailable. One option is to use a paraxial thin lens as a proxy for the actual lens group, but doing so will yield a layout that is not consistent with Fermat's principle or the Abbe sine condition. For example, a paraxial lens version of a compound microscope objective typically produces the wrong numerical aperture for a given entrance pupil diameter, and vice versa. A better option is to use a lens model that provides perfect imaging for a specified paraxial magnification and obeys Fermat's principle. A variant of the model can yield a perfect Fourier transform lens. In addition, it is desirable to implement an idealized thick lens in which the principal planes are separated by a user-specified distance. This paper presents such a model, referred to as the Cardinal Lens, with implementation in Zemax OpticStudio via a user-defined surface.
在使用光线追迹进行光学系统设计时，设计人员常常希望实现一个或多个复合透镜组的简化版本。在初始布局阶段，当需要此类复合透镜的理想化版本时，或者可能是为了模仿一款校正良好但处方细节不可用的市售透镜时，就会出现这种情况。一种选择是使用傍轴薄透镜来替代实际的透镜组，但这样做会产生一个与费马原理或阿贝正弦条件不一致的布局。例如，对于给定的入瞳直径，复合显微镜物镜的傍轴透镜版本通常会产生错误的数值孔径，反之亦然。更好的选择是使用一种透镜模型，该模型能为指定的傍轴放大率提供完美成像并遵循费马原理。该模型的一个变体可以产生一个完美的傅里叶变换透镜。此外，还希望实现一种理想化的厚透镜，其主平面由用户指定的距离隔开。本文介绍了这样一种模型，称为基点透镜，并通过用户定义的表面在Zemax OpticStudio中实现。
