4.7 Article

Bayesian Optimization With Improved Scalability and Derivative Information for Efficient Design of Nanophotonic Structures

Journal

JOURNAL OF LIGHTWAVE TECHNOLOGY
Volume 39, Issue 1, Pages 167-177

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JLT.2020.3023450

Keywords

Linear programming; Optimization; Bayes methods; Shape; Computational modeling; Finite element analysis; Electromagnetics; Photonic design; machine learning; Bayesian optimization; silicon photonics

Funding

  1. European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant [675745]
  2. German Federal Ministry of Education, and Research (BMBF Forschungscampus MODAL) [05M20ZBM]
  3. Deutsche Forschungsgemeinschaft under Germany's Excellence Strategy - MATH+ [EXC-2046/1, 390685689, AA4-6]

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The proposal combines forward shape derivatives with an iterative inversion scheme for Bayesian optimization to broaden its applicability in situations requiring more iterations and derivative information. The method's implementation is demonstrated by optimizing a waveguide edge coupler.
We propose the combination of forward shape derivatives and the use of an iterative inversion scheme for Bayesian optimization to find optimal designs of nanophotonic devices. This approach widens the range of applicability of Bayesian optmization to situations where a larger number of iterations is required and where derivative information is available. This was previously impractical because the computational efforts required to identify the next evaluation point in the parameter space became much larger than the actual evaluation of the objective function. We demonstrate an implementation of the method by optimizing a waveguide edge coupler.

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