Probabilistic Study of the Coupling between Deterministic Electromagnetic Fields and a Stochastic Thin-Wire over a PEC Plane

A stochastic approach is presented to statistically characterize uncertainties in electromagnetic interactions. A stochastically undulating thin wire over a perfectly conducting ground plane is studied. The aim of this paper is to present methods to compute the statistical moments of the voltage induced by a deterministic incident field. Three methods have been developed to compute these moments: a quadrature method, a perturbation approach and a Monte-Carlo method.