Stochastic Method of Moments (SMoM) Analysis of Wire Antenna Arrays With Random Elements Locations

In this article, we propose a full-wave numerical approach called stochastic method of moments (SMoM), for analyzing the effects of uncertainties in the locations of elements in a random antenna array on its performance characteristics. Using SMoM with subdomain basis functions converts the governing mixed potential integral equation to a matrix equation consisting of closed-form functions in terms of the random parameters. We then apply MacLaurin’s series expansions on the derived matrix equation to find the stochastic current distributions on the array elements with controllable accuracy using different orders of MacLaurin’s series. In this way, the mean values and standard deviations of the current distributions of array elements, and their other performance characteristics can be determined easily. The proposed method enjoys fast computation as well as controllable accuracy, and its results are compared with those obtained by the Monte Carlo method for verification.