Solutions for General-Purpose Electromagnetic Problems Using the Random Auxiliary Sources Method

A 3-D general-purpose implementation of the random auxiliary sources (RASs) method is proposed, benefiting from the Rao–Wilton–Glisson (RWG) testing functions. The testing procedure is presented in terms of the RWG function parameters. The performance of the proposed RAS with the RWG testing function is compared with point matching. Also, a simple treatment for mixed boundary problems is introduced to enable solving the complex electromagnetic problems. Furthermore, a waveport formulation is proposed that is better suited for the iterative approach of the RAS method to facilitate the modular analysis of components. A gradient-based testing formulation for the transmitting port is exploited to enforce the matching to the forward wave only on a waveport. Nevertheless, several test cases are presented to evaluate the accuracy and performance of the proposed method in comparison to the commercial full-wave solvers showing a reasonable agreement.