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Small-sample efficient inverse design of anti-reflection micro-nano optical structures: a Bayesian optimization-tuned

Linyi Xie, Yuhai Li, Lianhe Du

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    This study introduces an efficient inverse design framework for optical anti-reflection structures using Bayesian optimization and randomized trees. The method significantly speeds up computations while ensuring high performance for anti-reflection designs.

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    Area of Science:

    • Optics and Photonics
    • Computational Electromagnetics
    • Materials Science

    Background:

    • Inverse design of micro-/nano-optical anti-reflection structures faces challenges due to complex parameter mapping and high computational costs.
    • Existing data-driven methods struggle with small sample sizes, leading to performance degradation.

    Purpose of the Study:

    • To develop an efficient and accurate closed-loop inverse design framework for micro-/nano-optical anti-reflection structures.
    • To overcome the limitations of existing computational and data-driven approaches in optical structure optimization.

    Main Methods:

    • Proposed a closed-loop inverse design framework integrating Bayesian optimization with extremely randomized trees (ERT) as a surrogate model.
    • Employed differential evolution algorithm for optimization, coupled with the ERT surrogate model.

    Main Results:

    • The Bayesian optimization-tuned ERT model achieved an average relative error of 1.01% on independent test samples, surpassing six mainstream machine learning models.
    • The framework demonstrated 100% constraint satisfaction for reflectivity ≤20% at 1064 nm across 0°-70° incident angles.
    • Achieved a 99.67% reduction in finite element method calls and a ~307× computational speedup.

    Conclusions:

    • The proposed framework offers an engineering-feasible solution for high-performance optical structure design.
    • This approach significantly enhances the efficiency and accuracy of inverse design for anti-reflection structures.
    • The method addresses the critical need for faster and more reliable optical component design.