Reduced basis methods for optimization of nano-photonic devices

Optical 3D simulations in many-query and real time contexts require new solution strategies. We study an adaptive, error controlled reduced basis method for solving parametrized time-harmonic optical scattering problems. Application fields are, among others, design and optimization problems of nano-optical devices as well as inverse problems for parameter reconstructions, as they occur, e. g., in optical metrology. The reduced basis method presented here relies on a finite element modeling of the problem plus parametrization of materials, geometries and sources.