Non-intrusive pseudo spectral approach for stochastic macromodeling of EM systems using deterministic full-wave solvers

In this paper, a novel stochastic macromodeling technique for the variability analysis of complex electromagnetic (EM) structures is proposed. This work combines a pseudo spectral approach with the Loewner matrix interpolation technique to generate the polynomial chaos macromodel from the stochastic S-parameters of the structure. The major benefit of the proposed strategy is that by exploiting the non-intrusive nature of the pseudo spectral approach, the stochastic macromodel can be generated directly from a small number of deterministic EM full-wave simulations. This enables the utilization of the robustness and versatility of conventional deterministic full-wave techniques without the need for the cumbersome stochastic Galerkin formulation.