Circle of least confusion of a spherical reflector

Physics – Optics

Scientific paper

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Aberrations (Global), Propagation Methods, Mathematical Methods (General), Geometric Optical Design

Scientific paper

A simple, tractable equation is provided for determining the size and location of the circle of least confusion of a concave spherical reflector. This method is exact for the object at infinity and with wave effects neglected. Designers of large radius Arecibo-like telescopes, both radio and optical, with symmetrical, spherical primaries should find the method useful. The mathematical results are valid for apertures with an angle of incidence up to 45°. Comparisons of the location of the disk of least confusion with longitudinal spherical aberration and the radius of the disk with transverse spherical aberration are presented.

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