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Abstract
In the method of moments (MoM) using the fictitious current model (FCM), the impulsive basis function is mainly employed to expand the fictitious currents for solving scattering problems. In this paper, the effect of the weighting function as well as the basis function on the solution accuracy and convergence rate in the MoM-FCM is considered. Galerkin's and the point-matching methods are used to investigate accuracy and convergence aspects by means of a canonical two-dimensional scattering problem. The mathematical formulation is presented for both the TM and the TE cases.
Numerical results show that the boundary condition error is considerably reduced by introducing the subdomain basis and/ or weighting functions to the MoM-FCM at the expense of additional computation. In the case of Galerkin's method, further reduction of boundary condition error is attained comparing to the point-matching method. Due to additional computation in the MoM-FCM using the subdomain basis and/or weighting functions there is a tradeoff between the memory efficiency and the computation time in choosing basis and weighting functions in the MoM-FCM.