5 June 2018 Practical use of saddle-point construction in lens design
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Abstract
Trapping in poor local minima is a common problem in lens design. Conventional lens design approaches only lead the designer to one solution each time, and, especially when the designer has only limited experience, often better solutions exist. Global optimization algorithms such as genetic algorithms and simulated annealing have been used to find alternatives. However, these algorithms usually require significant computational power, and the designer has not much control over the process. Saddle point construction (SPC) method has been developed as a technique for adding lenses to the original system or to systematically switch from an existing local minimum to a different one. Earlier research has shown that in idealized lens design and simple practical lens design problems, SPC is able to effectively switch through the network of minima and get out of the poor local minima. However, the effectivity of SPC in the complex optical system has not yet been studied. We show in this paper that how SPC can be used to switch between local minima in a system with moderate complexity. The result shows that with SPC, it is possible to switch from a poor local minimum to better systems. SPC is also applied to a lithographic system to show how the switching mechanism works in highly complex systems.
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Zhe Hou, Irina Livshits, Florian Bociort, "Practical use of saddle-point construction in lens design", Proc. SPIE 10690, Optical Design and Engineering VII, 1069007 (5 June 2018); doi: 10.1117/12.2312494; https://doi.org/10.1117/12.2312494
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