Some properties of Mertz-type aspheric surfaces

Torben B. Andersen

doi:10.1117/1.2978951

1 September 2008 Some properties of Mertz-type aspheric surfaces

Torben B. Andersen

Author Affiliations +

Optical Engineering, Vol. 47, Issue 9, 093001 (September 2008). https://doi.org/10.1117/1.2978951

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 sixth-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 has 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.

©(2008) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Torben B. Andersen "Some properties of Mertz-type aspheric surfaces," Optical Engineering 47(9), 093001 (1 September 2008). https://doi.org/10.1117/1.2978951

Published: 1 September 2008

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