Multifidelity Uncertainty Quantification for Optical Structures

This work addresses uncertainty quantification for optical structures. We decouple the propagation of uncertainties by combining local surrogate models with a scattering matrix approach, which is then embedded into a multifidelity Monte Carlo framework. The so obtained multifidelity method provides highly efficient estimators of statistical quantities jointly using different models of different fidelity and can handle many uncertain input parameters as well as large uncertainties. We address quasi-periodic optical structures and propose the efficient construction of low-fidelity models by polynomial surrogate modeling applied to unit cells. We recall the main notions of the multifidelity algorithm and illustrate it with a split ring resonator array simulation, serving as a benchmark for the study of optical structures. The numerical tests show speedups by orders of magnitude with respect to the standard Monte Carlo method.