Analysis of Random Nonuniform Transmission Line Response under Plane-Wave Illumination with a Perturbation Decomposition-Polynomial Chaos Expansion Method

A perturbation decomposition-polynomial chaos expansion method is presented to evaluate the electromagnetic effects of random nonuniform transmission line under plane-wave illumination. The nonuniformity is represented as perturbation with respect to the reference uniform transmission line. Moreover, by expanding the unknown random parameters in terms of orthogonal polynomials, the stochastic transmission line equation is projected into a set of deterministic transmission line equations. Numerical simulations are presented for several typical deterministic and random nonuniform transmission lines above an ideal ground. The results show that the proposed perturbation decomposition-polynomial chaos expansion method is accurate and computationally efficient compared with the traditional uniform cascaded section method and Monte Carlo method.