Small Image Shifts in Plane Mirror Systems

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Abstract
In plane mirror systems with infinitely distant objects, and to a limited extent with finite objects, the image shift, resulting from a small rotation of a group of mirrors as a unit, is calculated using a matrix theory. General conditions which must be fulfilled for a required image shift to be realizable are given. The connection between the space-transforming properties of a mirror group and the possible image shifts is obtained. Equations are given, from which the axis of rotation of the mirror group, corresponding to a required shift, may be solved if it exists. The results may be applied in the design of mirror group or prism mounts with convenient adjustments.

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