First-order Wiener-Hermite expansion in the electromagnetic scattering by conducting rough surfaces


  • Cornel Eftimiu


The application of the Wiener-Hermite expansion to the scattering of electromagnetic waves by rough conducting surfaces is examined. In this work the expansion is carried out only up to terms of first order in the Wiener-Hermite functionals for the surface current, the average far field, and the coherent and incoherent responses. Nevertheless, the expressions obtained for these quantities contain contributions from all orders of multiple scattering and can be viewed as partial sums of selected terms in the perturbation theory expansion. The results following from this approach are compared to those calculated by using second-order perturbation theory and also by recasting the latter in Padé approximant form.