The 3-concentric-spherical-mirror, object-centered, unit-magnification catoptric relay designed by Abe Offner combines excellent aberration correction with extreme optical simplicity. A drawback of the design for some applications is that for telecentric objects the pupil is located at the secondary mirror and for near-telecentric objects (such as are commonly produced by astronomical telescopes) the pupil lies in the confusion of rays near to the secondary mirror. Recently it has been “re-discovered” that the Offner design is a special case of a more general family of designs, all sharing exactly the same imaging characteristics and optical correction of 3rd and 5th order aberrations. We say “re-discovered” because Offner presented exactly this information in his 1973 patent, but this fact seems to have generally eluded the optical design community. The “generalized Offner” solutions differ from the well-known Offner relay in that the primary and tertiary mirrors have different radii, and there is no limitation in the ratio of these radii, other than that Petzval curvature be corrected. New relays constructed of monocentric triplets of object-centred mirrors are presented for which pupils are accessible without vignetting.
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