Universal approach to polynomial chaos expansion for stochastic analysis of EM field propagation on convex obstacles in an UWB channel

This paper presents a new universal approach for simulation of electromagnetic (EM) wave propagation in ultra-wideband (UWB) channel focusing on statistical analysis of EM field distribution. We present the new approach for the case of diffraction on convex obstacles. We base on a circular cylinder model of a convex obstacle and uniform theory of diffraction (UTD) which can be effectively used in an asymptotic prediction of an EM field scattered by convex obstacles. The polynomial chaos expansion is used in the statistical analysis. It is derived using the Hermite polynomial basis.