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Proceedings Paper

Method to allocate freeform surfaces in axially asymmetric optical systems
Author(s): Akira Yabe
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Paper Abstract

Most of optical systems are axially symmetric. But axially asymmetric systems are necessary in some cases, for example, to avoid the vignetting of a mirror surface, or to eliminate the keystone distortion of the tilted object surface. The freeform surface is a surface without the axis of the symmetry. The surface profile is expressed as a function on a 2 dimensional coordinate system. The subject of this paper is a construction method of axially asymmetric lenses, which consist of freeform surfaces and spherical surfaces. The fabrication and the alignment of the freeform surface are much more difficult than those of the spherical surface. To minimize the fabrication cost, the total number of freeform surfaces should be as few as possible. Freeform surfaces should be used at the most efficient position. The question arises, how the optimal position of the freeform surfaces can be found. One way to find the optimal position of freeform surfaces is to include the surface numbers of freeform surfaces in the independent variables of the optimization. The surface number is the integer. If the surface number is extended to the real number, in other words, if the optical system with the realnumber surface numbers is consistently defined, the real-number surface numbers can be treated as ordinary independent variables of the optimization.

Paper Details

Date Published: 20 September 2011
PDF: 10 pages
Proc. SPIE 8167, Optical Design and Engineering IV, 816703 (20 September 2011); doi: 10.1117/12.897352
Show Author Affiliations
Akira Yabe, Consultant (Germany)


Published in SPIE Proceedings Vol. 8167:
Optical Design and Engineering IV
Jean-Luc M. Tissot; Laurent Mazuray; Rolf Wartmann; Jeffrey M. Raynor; Andrew Wood, Editor(s)

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