Abstract

A matrix [M] is derived for a system of plane first-surface mirrors which transforms a point or the direction cosines of a ray in the image space to the object space. If the general displacement of the mirror system is represented by the screw matrix [S], then the new position of a point image is given by the transformation [S][M][S]−1. This method facilitates designing the mirror supporting structure for minimum image shift due to structural deflections.

© 1960 Optical Society of America

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