ARBITRARY ORDER ASYMPTOTIC APPROXIMATION OF A GREENS-FUNCTION SERIES

In this paper a series acceleration technique is presented which can d rastically improve the convergence rate of a series, The method is bas ed upon the Kummer transformation, This is one of the many acceleratio n techniques to reduce the computational labor associated with the eva luation of a series, In numerical electromagnetic problems these serie s often are the Green's functions which are evaluated a huge number of times, The evaluation time of these series thus becomes an important parameter when investigating the overall performance of the implemente d method. As an example, the technique will be applied to the two-dime nsional free-space Green's function of a medium periodic in one dimens ion.