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Comparing optimization algorithms for conventional and freeform optical design.

Thomas Houllier, Thierry Lépine

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    |June 30, 2019
    PubMed
    Summary

    Five black-box optimization algorithms were tested for optical design, including Particle Swarm Optimization and Cuckoo Search. This study offers the first quantitative comparison for optical designers to improve workflows.

    Area of Science:

    • Computational optics
    • Optical engineering
    • Algorithm analysis

    Background:

    • Black-box optimization algorithms are increasingly used in optical design.
    • A quantitative comparison of various algorithms for optical design problems is lacking.
    • Conventional and freeform optics present unique design challenges.

    Purpose of the Study:

    • To implement and compare five prominent black-box optimization algorithms for optical design.
    • To evaluate algorithm performance on both conventional and freeform optical systems.
    • To introduce a practical restart scheme for optical design workflows.

    Main Methods:

    • Implementation of Particle Swarm Optimization, Gravity Search Algorithm, Cuckoo Search, Covariance Matrix Adaptation Evolution Strategy, and Nelder&Mead Simplex search.

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  • Performance assessment using the Black Box Optimization Benchmark 2009 (BBOB2009) suite.
  • Comparative analysis against commercial optical design software.

    • Main Results:

    • Quantitative performance data for each implemented algorithm across different optical design scenarios.
    • Identification of algorithm strengths and weaknesses for specific optical system types.
    • Demonstration of a functional restart scheme enhancing design process efficiency.

    Conclusions:

    • The study provides a comprehensive, quantitative comparison of leading black-box optimization algorithms in optical design.
    • The findings offer valuable insights for selecting appropriate algorithms and improving optical design workflows.
    • The proposed restart scheme is a practical addition for optical designers.