Journal of Lightwave Technology · 2020 · 29 citations · 56 references
ArchitectureComputational EngineeringElectrical EngineeringDesign OptimizationOptimizationPhotonicsDevice ModelingElectromagnetic Inverse ProblemsInverse DesignOptimization-based DesignPhotonic Device SimulationShape OptimizationBayesian OptimizationDevice OptimizationObjective Function FormulationOptical System OptimizationParameter Space AnalysisParameter Space ExplorationPhotonic Device OptimizationScalability
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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Probability, Random Variables, and Stochastic Processes
Irwin Miller, Anthanasios Papoulis · Technometrics · 1966 · 6.5K citations
Engineering, Mathematics, Physics +14
<i>Probability, Random Variables, and Stochastic Processes</i>
A. Papoulis, Joseph G. Hoffman · Physics Today · 1967 · 4.1K citations
AN ESSAY TOWARDS SOLVING A PROBLEM IN THE DOCTRINE OF CHANCES
BAYES · Biometrika · 1958 · 2.9K citations
Thomas Bayes · Philosophical Transactions of the Royal Society of London · 1763 · 2.9K citations