An efficient polynomial chaos method for uncertainty quantification in electromagnetic simulations

Realistic EM simulations involve input parameters that have variability associated with them can have substantial impact on the simulation outputs; thus the capability of quantifying these impacts becomes of great importance. In the stochastic modeling of most EM problem, computational efficiency is a concern in the selection of the method because of the intensive nature of electromagnetic simulations. In addition to the efficiency, a certain level of accuracy is also desired. This paper will address these requirements by introducing an inexpensive stochastic method; it is used to statistically characterize the effective permittivity of composite structures.