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Reduced-order stochastic electromagnetic macro-Models for uncertainty characterization of 3-D band-gap structures, in FDTD

Recently, a reduced-order stochastic electromagnetic macro-model in finite-difference-time-domain (FDTD) was developed which is based on stochastic collocation (SC) on the sparse Smoljak grid. Here, we apply the technique to quantify the uncertainty in electromagnetic response of a 3-D electromagnetic band-gap structure comprised of dielectric posts whose x-y positions vary randomly according to Gaussian distribution. The results are correlated against standard Monte Carlo (MC) simulations, and show excellent agreement.