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Proceedings Paper

Reducible complexity in lens design
Author(s): Zhe Hou; Florian Bociort
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Paper Abstract

A major challenge in lens design is the presence of many local minima in the optimization landscape. However, unlike other global optimization problems, the lens design landscape has an additional structure, that can facilitate the design process: many local minima are closely related to minima of simpler problems. For discussing this property, in addition to local minima other critical points in the landscape must also be considered. Usually, in a global optimization problem with M variables one has to perform M-dimensional searches in order to find minima that are different from the known ones. We discuss here simple examples where, due to the special structure that is present, all types of local minima found by other methods can be obtained by a succession of one-dimensional searches. Replacing M-dimensional searches by a set of one-dimensional ones has very significant practical advantages. If the ability to reach solutions by decomposing the search in simple steps will survive generalization to more complex systems, new design tools using this property could have a significant impact on lens design.

Paper Details

Date Published: 23 September 2015
PDF: 8 pages
Proc. SPIE 9626, Optical Systems Design 2015: Optical Design and Engineering VI, 96260J (23 September 2015); doi: 10.1117/12.2191364
Show Author Affiliations
Zhe Hou, Technische Univ. Delft (Netherlands)
Florian Bociort, Technische Univ. Delft (Netherlands)


Published in SPIE Proceedings Vol. 9626:
Optical Systems Design 2015: Optical Design and Engineering VI
Laurent Mazuray; Rolf Wartmann; Andrew P. Wood, Editor(s)

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