18 September 2007 Some properties of Mertz type aspheric surfaces
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Abstract
The aspheric reflecting surface types studied by L. Mertz for correcting certain aberrations of a spherical primary telescope mirror are examined and some properties of these surfaces are presented. For the one-surface aspheric that corrects spherical aberration of all orders, a 6th order equation for the surface shape is derived. For the set of two aspheric surfaces correcting spherical aberration and coma of all orders, a set of differential equations have been developed to describe the surface shapes. The off-axis imaging performance is derived from the on-axis imaging properties and compared with ray trace results.
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Torben B. Andersen, "Some properties of Mertz type aspheric surfaces", Proc. SPIE 6667, Current Developments in Lens Design and Optical Engineering VIII, 66670A (18 September 2007); doi: 10.1117/12.734457; https://doi.org/10.1117/12.734457
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