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Invited paper: Future of global optimization in optical design
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Paper Abstract

Global Optimization (GO) is an area of applied mathemetics that has been active for many years. A large variety of GO algorithms have been constructed in an effort to find a solution to the general GO problem. Some of these have proved to be successful on certain classes of problems. However no general deterministic algorithm exists that can locate the global optimum for every multidimensional problem. Traditionally in the lens design discipline the search for an optimum solution in the design space has been done by optimization methods. The conventional design methods are in principle local search methods and do not pmvide any global information on the design space. As the available computer power increases GO tools can be used also in optical design. A two phase search algorithm based on global optimization techniques is described. In a first phase using a coarse sampling approach the program finds the favorable regions that correspond to potentially promising configurations. In a second phase conventional optimization routines are used to find the best solutions in eh region. Then an optimum solution is determined according to the application at hand. The pro algorithm is analyzed and compared to more conventional design approaches. A further refmement of the algorithm excludes from the systematic search some unfavorable configuration regions through the use of a simple expert system. Search times are further reduced through parallel-processing methods. We believe this approach to lens design represents new initiative towards the determination of the optimum solution in any lens design problem. 1.

Paper Details

Date Published: 1 January 1991
PDF: 15 pages
Proc. SPIE 1354, 1990 Intl Lens Design Conf, (1 January 1991); doi: 10.1117/12.47876
Show Author Affiliations
Doron Sturlesi, Georgia Institute of Technology (United States)
Donald C. O'Shea, Georgia Institute of Technology (United States)

Published in SPIE Proceedings Vol. 1354:
1990 Intl Lens Design Conf
George N. Lawrence, Editor(s)

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