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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 29, Iss. 2 — Jan. 15, 2004
  • pp: 189–191

Networks of local minima in optical system optimization

Florian Bociort, Eco van Driel, and Alexander Serebriakov  »View Author Affiliations


Optics Letters, Vol. 29, Issue 2, pp. 189-191 (2004)
http://dx.doi.org/10.1364/OL.29.000189


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Abstract

We discuss a surprising new feature of the merit function landscape in optical system design. When certain conditions are satisfied, the local minima form a network in which all nodes are connected. Each link between two neighboring minima contains a saddle point with a Morse index of 1. For a simple global optimization search (the symmetric Cooke triplet), the network of the corresponding set of local minima is presented.

© 2004 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(220.2740) Optical design and fabrication : Geometric optical design

Citation
Florian Bociort, Eco van Driel, and Alexander Serebriakov, "Networks of local minima in optical system optimization," Opt. Lett. 29, 189-191 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-2-189

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