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Proceedings Paper

Generating saddle points in the merit function landscape of optical systems
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Paper Abstract

Finding multiple local minima in the merit function landscape of optical system optimization is a difficult task, especially for complex designs that have a large number of variables. We discuss here a method that enables a rapid generation of new local minima for optical systems of arbitrary complexity. We have recently shown that saddle points known in mathematics as Morse index 1 saddle points can be useful for global optical system optimization. In this work we show that by inserting a thin meniscus lens (or two mirror surfaces) into an optical design with N surfaces that is a local minimum, we obtain a system with N+2 surfaces that is a Morse index 1 saddle point. A simple method to compute the required meniscus curvatures will be discussed. Then, letting the optimization roll down on both sides of the saddle leads to two different local minima. Often, one of them has interesting special properties.

Paper Details

Date Published: 14 October 2005
PDF: 8 pages
Proc. SPIE 5962, Optical Design and Engineering II, 59620S (14 October 2005); doi: 10.1117/12.624867
Show Author Affiliations
Florian Bociort, Delft Univ. of Technology (Netherlands)
Maarten van Turnhout, Delft Univ. of Technology (Netherlands)

Published in SPIE Proceedings Vol. 5962:
Optical Design and Engineering II
Laurent Mazuray; Rolf Wartmann, Editor(s)

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