Abstract:

To improve numerical computation of electromagnetic scattering, a fast approach to integral equation is developed. The algorithm is based on the adaptive integral method (AIM). This method maps the triangular basis functions onto a rectangular grid with auxiliary basis function. And then the computation of the matrixvector products in the iterative solver is accelerated by the fast Fourier transforms (FFT). The new feature of the algorithm is the application of the single integral equation (SIE) to analyze the electromagnetic scattering from three dimensional objects. Compared with the conventional coupled integral equations（CIE） method, the SIE method reduces the number of unknowns. The new formulation converges significantly faster than the traditional CIE formulation. The numerical results are presented to show the efficiency and accuracy of the proposed method.