Szulc A
Appl Opt. 1996 Jul 1;35(19):3548-58. doi: 10.1364/AO.35.003548.
A method is described that permits the calculation of a cemented doublet with a given spherical aberration and coma at the edge of the lens. In particular the aberrations can be set to zero. Given one glass, the equations reported in this paper permit the determination of a second matching glass that minimizes the spherochromatism and coma of the lens. This result is obtained by the introduction, into the third-order thin-lens formulas, the third-order values of the aberration coefficients, as derived from the equation developed by Mossotti which yields zero finite aberrations for the same lens with added thickness. After a brief historical introduction, the third-order equations are developed and tables for the color-correcting glasses and SI and SII (the Seidel third-order coefficients) are given for objects at infinity and at a magnification of - 1, both for flint- and crown-leading cases. The paper closes with a table of corrected doublets.
本文描述了一种方法，该方法允许计算在透镜边缘具有给定球差和彗差的胶合双合透镜。特别地，像差可以设置为零。给定一种玻璃，本文所报道的方程允许确定第二种匹配玻璃，以使透镜的色球差和彗差最小化。通过将由莫索蒂推导的像差系数的三阶值引入三阶薄透镜公式来获得此结果，该公式对于增加厚度后的同一透镜产生零有限像差。在简要介绍历史背景之后，推导了三阶方程，并给出了针对无穷远物体和放大率为 - 1的情况的消色差玻璃以及SI和SII（赛德尔三阶系数）的表格，适用于火石玻璃在前和冕牌玻璃在前的情况。本文最后给出了校正双合透镜的表格。
