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本文对轴上光束计算了八条非近轴光线,得到八个球差值: L’Am、L’A_(0.93)、L’A(0.85)、L’A_(0.70)、L’A(0.707)、L’A_(0.61)、L’A_(0.5)、L’A_(0.3),展开成具有八个系数的十七级球差的级数表示式,以它来校对用前两篇文章的公式算出来的三级、五级与七级球差,结果很吻合,证明了与这些三级、五级、七级球差有关的公式都是正确的。本文还根据本征、衍生球差的特性,将消球差的方法分类,并举例分析了两种典型照相物镜的结构与消球差的关系。
In this paper, eight non-paraxial rays were calculated for on-axis beams and eight spherical aberration values were obtained: L’Am, L’A 0.93, L’A 0.85, L’A 0.70, L’A 0.707 ), L’A_ (0.61), L’A_ (0.5), L’A_ (0.3), expanded to a series of 17-order spherical aberration expression with eight coefficients, The formula is calculated out of the three, five and seven ball difference, the result is consistent with the proof of these three, five, seven spherical aberration-related formulas are correct. In this paper, we also classify the methods of canceling the spherical aberration according to the characteristics of intrinsic and derived spherical aberration, and give an example to analyze the relationship between the structure of two typical photographic objectives and the cancellous spherical aberration.