Abstract

All explicit computing schemes hitherto considered in the course of the author’s work on higher order aberration coefficients have referred to sets of four coordinates lying entirely in the object space. It is sometimes more convenient to use coordinates consisting of two pairs lying in the object and image spaces, respectively, for instance, when investigating the shape of the wavefront. One particular such set (W coordinates) is here considered. An explicit computing scheme for the primary, secondary, and tertiary aberration coefficients relating to the usual paracanonical coordinates has been given on an earlier occasion. The modifications which arise when W coordinates are introduced in their place are given in detail in the present paper. It is also shown how one can obtain the aberration coefficients referring to W coordinates from those referring to paracanonical coordinates.

© 1960 Optical Society of America

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