Fast Source Reconstruction Method in Near-Field to Far-Field Transformation Algorithm

In this paper a new approach is proposed to accelerate the numerical calculation of electric field integral equations (EFIE) and near-field to far-field transformation in source reconstruction methods (SRM). In this method, the optimum number of quadrature points to have accurate results is derived. Thereafter, inspired by an adaptive integration approach, the position of the quadrature points and corresponding weights are calculated analytically as closed-form expressions in a matrix representation. Thus, for all the triangles in the discretized mesh, the vertices can be simply plugged into the derived expressions that work as an analytical lookup table. This method avoids the intrinsic inaccuracy of the polynomial-based Gaussian quadratures and long processing time of iterative schemes.