Polynomial chaos representation of transmission-line response to random plane waves

This paper addresses the stochastic simulation of transmission lines excited by random plane wave fields. A novel methodology is presented that is based on the polynomial expansion of the forcing terms accounting for field coupling in classical transmission-line equations. Thanks to the orthogonality of polynomials, the problem is recast as a superposition of a finite number of deterministic contributions due to expansion components. This method is general and overcomes low-frequency limitations of available literature models, although allowing a faster computation of statistical parameters with respect to standard Monte Carlo (MC) sampling. The strength of the proposed technique is validated by means of comparisons with literature results and MC simulations.