Abstract

The spherical aberration function ′(Y) of an r-symmetric optical system K can be represented by its Taylor series only when Y < R, where the value of the number R is implicit in the structure of K. The coefficients of this series are the usual spherical aberration coefficients, here referred to as spherical aberration coefficients of the first kind. A given system may well be such that the region Y < R covers only a small part of the entrance pupil. This restrictive situation may in principle be resolved by dealing with series of a different kind, namely Laurent series, when Y > R. The constant coefficients of these are then collectively called spherical aberration coefficients of the second kind. Some relevant details are presented.

© 1996 Optical Society of America

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