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Proceedings Paper

Using saddle points for challenging optical design tasks
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Paper Abstract

The present research is part of an effort to develop tools that make the lens design process more systematic. In typical optical design tasks, the presence of many local minima in the optical merit function landscape makes design non-trivial. With the method of Saddle Point Construction (SPC) which was developed recently ([F. Bociort and M. van Turnhout, Opt. Engineering 48, 063001 (2009)]) new local minima are obtained efficiently from known ones by adding and removing lenses in a systematic way. To illustrate how SPC and special properties of the lens design landscape can be used, we will present the step-by-step design of a wide-angle pinhole lens and the automatic design of a 9-lens system which, after further development with traditional techniques, is capable of good performance. We also give an example that shows how to visualize the saddle point that can be constructed at any surface of any design of an imaging system that is a local minimum.

Paper Details

Date Published: 25 September 2014
PDF: 8 pages
Proc. SPIE 9192, Current Developments in Lens Design and Optical Engineering XV, 919204 (25 September 2014); doi: 10.1117/12.2061975
Show Author Affiliations
Irina Livshits, National Research Univ. of Information Technologies, Mechanics and Optics (Russian Federation)
Zhe Hou, Technische Univ. Delft (Netherlands)
Pascal van Grol, TNO Science and Industry (Netherlands)
Technische Univ. Delft (Netherlands)
Yifeng Shao, Technische Univ. Delft (Netherlands)
Maarten van Turnhout, TNO Science and Industry (Netherlands)
Paul Urbach, Technische Univ. Delft (Netherlands)
Florian Bociort, Technische Univ. Delft (Netherlands)

Published in SPIE Proceedings Vol. 9192:
Current Developments in Lens Design and Optical Engineering XV
R. Barry Johnson; Virendra N. Mahajan; Simon Thibault, Editor(s)

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