Optimal simplex optimization for optical design

R. John Koshel

doi:10.1117/12.562916

22 October 2004 Optimal simplex optimization for optical design

R. John Koshel

Proceedings Volume 5524, Novel Optical Systems Design and Optimization VII; (2004) https://doi.org/10.1117/12.562916
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

Simplex optimization is a powerful method of finding minima in noisy merit function spaces, such as those for illumination. The standard simplex routine and a modified one developed by the author are applied to three lens design problems found in the literature: singlet, cemented doublet, and triplet. The starting conditions of the size of the simplex and the location in merit function space are investigated. It is found that the modified simplex routine provides better results than the standard one as the solution converges to the optimal solution, which is called the "end game". The standard simplex tends to provide better results than the modified one when operating in the "start game". The simplex results are compared to those from a commercially available lens design code. In most circumstances the commercially available code provides better performance in both iterations to convergence and quality of the result. The results presented herein provide confirmation that the modified simplex algorithm is a viable means of optimization for noisy merit function determination when in the neighborhood of local optima.

Citation Download Citation

R. John Koshel "Optimal simplex optimization for optical design", Proc. SPIE 5524, Novel Optical Systems Design and Optimization VII, (22 October 2004); https://doi.org/10.1117/12.562916

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