Abstract: The topic is wildly off-axis reflecting systems (Schiefspiegler) which consist of a pair of confocal prolate spheroids. That they are reflecting makes them appropriate for use in the infrared. By wildly off-axis I mean that the angle between the major axes of the two spheroids may be arbitrarily large, a property that makes them particularly useful in the cramped quarters on a satellite. In this construction two foci, one from each of the spheroids, are made to coincide. The remaining two, belonging to each spheroid, are taken as the systems entrance and exit pupils. Thus a chief ray will pass through each of these three points. In previous papers we have defined the pseudo axis as on e of the chief rays about which all other chief rays are symmetric and the conditions for its existence had been derived. Conditions for the formation of particular types of imaging forming systems, or for afocal systems, also have been derived. In this paper we present specific examples of these systems together with analyses of their properties as determined by generalized ray tracing.!5
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