Efficient calculation of scattering variation due to uncertain geometrical deviation

This paper presents an efficient approach to quantifying the variation of electromagnetic scattering due to an uncertain geometrical deviation of the scattering surface. This approach employs a stochastic collocation method to decouple the collocation nodes, which permits the direct use of a deterministic solver to compute the solution to electromagnetic scattering for each collocation point. The multidimensional integral introduced by the stochastic collocation method is then evaluated using Stroud's cubatures, which require significantly fewer samples than does the traditional Monte-Carlo method. The accuracy and efficiency of this approach are demonstrated through a few numerical examples, where the results are obtained using the Monte-Carlo method and Stroud's cubatures.