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Computer experiment and global optimization of layered monocentric lens systems
Authors:Nan Zheng  Scott C Schmidler  Daniel Marks  David Brady
Institution:1. Department of Physics, Duke University, Durham, NC 27708, United States;2. Department of Statistical Science, Duke University, Durham, NC 27708, United States;3. Department of Electrical and Computer Engineering, Fitzpatrick Institute for Photonics, Duke University, Durham, NC 27708, United States
Abstract:In this paper we derive a general analytical solution for a monocentric lens system and present a global optimization method combining sequential design for global optimization and an expected improvement algorithm for global optimization for the design and analysis of a layered monocentric lens system, which provides an “intelligent” way to search the optimization space based on accumulated experience. We then apply these methods to an example of monocentric lens design, and explore the improvement in system performance obtained through increasing the system volume.
Keywords:
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