A Schmidt-Cassegrain Telescope, invented by Bernhard Schmidt, is a catadioptric telescope. This type of telescope is advantageous because it combines the long focal length of the refracting telescope with the lower cost per aperture of the reflecting telescope.
The optical design combines elements from both the Schmidt camera and the Cassegrain reflector. In this system the parabolic primary mirror is replaced by a spherical mirror, which introduces spherical aberration. This is corrected by the Schmidt corrector plate, found in the Schmidt camera. From the Cassegrain, it inherits the convex secondary mirror, perforated primary mirror, and a final focal plane located behind the primary. Some designs add additional optical elements (such as field flatteners) near the focal plane.
Non-compact designs keep the corrector at the center of curvature of the primary mirror. One very well-corrected design example would be the concentric (or monocentric) Schmidt-Cassegrain, where all the mirror surfaces and the focal surface are concentric to a single point: the center of curvature of the primary. Optically, non-compact designs often yield better aberration correction and a flatter field than a compact design, but at the expense of longer tube length
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