A fast numerical method for analysis of one- and two-dimensional electromagnetic scattering using a set of cardinal functions

Since many problems in one- and two-dimensional scattering from perfectly conducting bodies can be modeled by linear Fredholm integral equations, the main focus of this paper is to present a fast numerical method for solving them. The method uses Whittaker cardinal functions as a set of basis functions. By using the properties of these cardinal functions together with an appropriate quadrature rule, the computational cost of the method becomes low and the calculations are done quickly. This is due to the fact that the method uses just sampling of functions instead of integration. To show computational efficiency of this approach, some practical one- and two-dimensional scatterers are analyzed by it and the results are compared with those of two other numerical methods.