Abstract

In general, the orientation of the image formed by a series of plane mirrors is analyzed using the reflection matrices for the individual mirrors multiplied in the order opposite to that in which the light rays strike the mirrors, assuming the ray direction is a column vector. It is shown that the image orientation can be obtained directly in the form of a coordinate transformation matrix, if the individual reflection matrices are multiplied in the same order as the light rays meet the mirrors. The orientation of the image as seen by an observer looking back through the system is easily taken into account by the introduction of a secondary reference system.

© 1964 Optical Society of America

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