25 September 2014 Using saddle points for challenging optical design tasks
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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.
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Irina Livshits, Irina Livshits, Zhe Hou, Zhe Hou, Pascal van Grol, Pascal van Grol, Yifeng Shao, Yifeng Shao, Maarten van Turnhout, Maarten van Turnhout, Paul Urbach, Paul Urbach, Florian Bociort, Florian Bociort, } "Using saddle points for challenging optical design tasks", Proc. SPIE 9192, Current Developments in Lens Design and Optical Engineering XV, 919204 (25 September 2014); doi: 10.1117/12.2061975; https://doi.org/10.1117/12.2061975
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