A Stochastic Radial Point Interpolation Method for Wideband Uncertainty Analysis

Abstract

In this letter, a time-domain stochastic radial point interpolation method (SRPIM) is developed for uncertainty quantification of electromagnetic systems. Derivatives of field quantities in Maxwell's equations are obtained using radial basis function, and stochasticity in the dielectric constant of a part of the model space is incorporated into this formulation. This is validated using the numerical example of a parallel-plate waveguide with dielectrics inside, which is implemented using uniaxial perfectly matched boundary layers. The stochastic variations in the computed field in the time domain and the transmission coefficient in the frequency domain are evaluated. Accuracy of these simulation results is validated using Kolmogorov Smirnov test, with Monte Carlo (MC) simulation as the reference. The computation time of the proposed method is found to be significantly better than MC and superior to stochastic collocation. The proposed method performs better even for large variations.