Abstract: The spherical aberration coefficient (SAC) can be divided into : intrinsic and derivative coefficients. The former occurs on certain boundaries without incident beam aberration, and the latter is the variant of spherical aberration (SA) which is caused by aberration of the incident beam on certain boundaries. The third, fifth, and seventh order intrinsic SACs can be obtained by enlarging the SAC of the incident beam without aberration (L$EQ@1, SinU$EQ@u). The aberration of the incident beam is expressed as $Delta@1$EQ@L$MIN@1 and $Delta@y$EQ@L $DOT SinU$MIN@1 $DOT u (where 1 and L are the intersecting distance of paraxial and nonparaxial beams, respectively). Then the fifth and seventh order derivative SACs can be derived from differentiating and intrinsic SAC with respect to aberration of the incident beam.!3
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机译：摘要：球面像差系数（SAC）可分为：本征系数和导数系数。前者在没有入射光束像差的某些边界上发生，而后者是球面像差（SA）的变体，它是由入射光束在某些边界上的像差引起的。可以通过放大入射光束的SAC而没有像差（L $ EQ @ 1，SinU $ EQ @ u）来获得三阶，五阶和七阶本征SAC。入射光束的像差表示为$ Delta @ 1 $ EQ @ L $ MIN @ 1和$ Delta @ y $ EQ @ L $ DOT SinU $ MIN @ 1 $ DOT u（其中1和L是近轴光束和非近轴光束）。然后，可以根据入射光束的像差微分和本征SAC得出五阶和七阶导数SAC。
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