Optical responses to incident lights with different incident directional angles or polarization angles are often of concern in the analysis of light scattering from plasmonic nanostructures. This leads to a multiple-excitation problem for the modeling and prediction of light scattering. An efficient and rigorous numerical method is presented to deal with this problem. In this method, the hybrid finite element and boundary integral (FEBI) formula is adopted to model the interior complex plasmonic materials and the exterior scattering space rigorously, and a low-rank compressed matrix factorization algorithm based on the FEBI framework is proposed to deal with the multiple-excitation problem efficiently. Numerical experiments are performed to illustrate the effectiveness of the proposed method.
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