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Proceedings Article

Global and multi-objective optimization for lens design by real-coded genetic algorithms

[+] Author Affiliations
Isao Ono

Univ. of Tokushima (Japan)

Shigenobu Kobayashi

Tokyo Institute of Technology (Japan)

Koji Yoshida

Nikon Corp. (Japan)

Proc. SPIE 3482, International Optical Design Conference 1998, 110 (September 21, 1998); doi:10.1117/12.321995
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From Conference Volume 3482

  • International Optical Design Conference 1998
  • Leo R. Gardner; Kevin P. Thompson
  • Kona, HI | June 08, 1998

abstract

This paper presents new lens optimization methods based on real-coded genetic algorithms (GAs). We take advantage of GA's capability of global optimization and multi-objective optimization against two serious problems in conventional lens optimization techniques: (1) choosing a starting point by trial and error, and (2) combining plural criteria to a single criterion. In this paper, two criteria for lenses, the resolution and the distortion, are considered. First, we propose a real-coded GA that optimizes a single criterion, a weighted sum of the resolution and the distortion. To overcome a problem of the difficulty in generating feasible lenses especially in large-scale problems, we introduce an enforcement operator to modify an infeasible solution into a feasible one. By applying the proposed method to some small- scale problems, we show that the proposed method can find empirically optimal and suboptimal lenses. We also apply the proposed method to some relatively large-scale problems and show that the proposed method can effectively work under large-scale problems. Next, regarding the lens design problem as a multi-objective optimization problem, we propose a real-coded multi-objective GA that explicitly optimizes the two criteria. We show that effectiveness of the proposed method in multi-objective lens optimization by applying it to a three-element lens design problem.

© (1998) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Isao Ono ; Shigenobu Kobayashi and Koji Yoshida
"Global and multi-objective optimization for lens design by real-coded genetic algorithms", Proc. SPIE 3482, International Optical Design Conference 1998, 110 (September 21, 1998); doi:10.1117/12.321995; http://dx.doi.org/10.1117/12.321995


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