Reduced Basis Methods for Domain Uncertainty Quantification of Periodic Gratings
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We present an application of model order reduction for the efficient computation of failure probabilities in the context of electromagnetic scattering by by two-dimensional periodic gratings. We build a reduced basis surrogate model for the resolution of scattered-fields through the boundary element method in the setting of an uncertain geometry, simulating manufacturing errors and wear and tear of optical devices. The model is then employed for the efficient computation of failure probabilities in the context of reliability analysis of optimal structures. Moreover, the usage of model order reduction techniques allows us to depart from the small perturbation assumption required by First-Order-Second-Moment (FOSM), perturbation theory, and other approaches. Additional overviews for its usage in optimization algorithms are given in relation to Multi-Level techniques for efficient estimation of failure probabilities.
