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
Florian Bociort, Eco van Driel, and Alexander Serebriakov, "Networks of local minima in optical system optimization," Opt. Lett. 29, 189-191 (2004)