Investigation of transmission line response to random plane waves through stochastic reduced order modeling

This paper deals with a modified version of the Stochastic Reduced Order Model (SROM) approach applied to the statistical analysis of the radiated susceptibility of a two-conductor transmission line with random geometrical parameters illuminated by a plane wave with random polarization and direction of incidence. The proposed modified SROM consists in the analytical discretization of continuous random variables by taking into account the statistical moments. On the contrary, the conventional SROM requires numerical processing to identify such discretization. Approximation of continuous random variables with a very small number of samples and the related probabilities allows a straightforward evaluation of the cumulative distribution function of the output variable. The proposed technique can be applied to the statistical analysis of much more complex systems whose input/output relationship requires a huge computational burden and for which the conventional Monte Carlo approach is not suitable.