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Confocal spheroids as elements of off-axis reflecting systems

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Abstract

The problem considered is the design of complicated off-axis mirror systems. The approach is to use components that consist of pairs of prolate spheroidal mirrors which share a common conic focus but not a common axis. By conic focus we mean the focus of the spheroid and not necessarily an optical focus. In this configuration a ray through one of the conic foci must pass through all the others. If pupils are located at each of the conic foci, all such rays must be chief rays. A pseudoaxis is defined as that chief ray about which all other rays are symmetric. A necessary condition for the existence of a pseudoaxis provides relationships between the eccentricities and the angles between the conic axes. Conditions assuring that such a system is afocal or forms an image result in conditions on the vertex curvatures of the spheroids.

© 1991 Optical Society of America

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