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Proceedings Paper

Topography of the merit function landscape in optical system design
Author(s): Eco van Driel; Florian Bociort; Alexander Serebriakov
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Paper Abstract

We have shown recently that, when certain quite general conditions are satisfied, the set of local minima in the optical merit function space forms a network where they are all connected through optimization paths generated from saddle points having a Morse index of 1. A new global optimization method, that makes use of this linking network to systematically detect all minima, is presented. The central component of this new method, the algorithm for saddle point detection, is described in detail and we show that the initialization of this algorithm has a significant impact on the performance. For a simple global optimization search (Cooke triplet) several representation forms of the network of the corresponding set of local minima are presented. These representations, which can be visualized in two dimensions, are independent of the dimensionality of the design space so that they can provide insight into the topography of merit function landscapes of arbitrary dimensionality.

Paper Details

Date Published: 18 February 2004
PDF: 11 pages
Proc. SPIE 5249, Optical Design and Engineering, (18 February 2004); doi: 10.1117/12.512973
Show Author Affiliations
Eco van Driel, Technische Univ. Delft (Netherlands)
Florian Bociort, Technische Univ. Delft (Netherlands)
Alexander Serebriakov, Technische Univ. Delft (Netherlands)

Published in SPIE Proceedings Vol. 5249:
Optical Design and Engineering
Laurent Mazuray; Philip J. Rogers; Rolf Wartmann, Editor(s)

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