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Proceedings Paper

Aplanatic Two-Surface Systems: The Optics Of Our Grandfathers
Author(s): Martin Krautter
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Paper Abstract

Karl Schwarzschild (1873 - 1916)1 has set up the 2-mirror systems as a 2-parameter mani-fold. He constructed them for primary aplanatism with conic section surfaces, and for finite aplanatism with numerically determined surfaces of revolution. Developing from the still older 2-paraboloid telescopes, conceived by Marin Mersenne, the systems since designed fill three domains of existence. The grazing incidence systems too (the Wolter-Schwarz-schild systems) have their loci on this map. Martin Linnemann (born 1880), student of Karl Schwarzschild, designed the first lenses, made aplanatic with two general surfaces of revolution2. For later authors remained only to vary image scale to non-zero values, and to adapt the design method to computer use.

Paper Details

Date Published: 31 October 1986
PDF: 11 pages
Proc. SPIE 0655, Optical System Design, Analysis, Production for Advanced Technology Systems, (31 October 1986); doi: 10.1117/12.938418
Show Author Affiliations
Martin Krautter, Carl Zeiss (Germany)


Published in SPIE Proceedings Vol. 0655:
Optical System Design, Analysis, Production for Advanced Technology Systems
Robert E. Fischer; Philip J. Rogers, Editor(s)

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