Acceleration of series summation encountered in the analysis of conformal antennas and periodic structures

Different summation acceleration techniques exist that help in solving large scale problems where complex series appear. Most of these acceleration techniques have been implemented in algorithms for planar problems, however it is also possible to implement some of these techniques in the series summations appearing in the analysis of conformal antennas and curved frequency selective surfaces (FSS). This problem is discussed and several different techniques are considered. Finally, it is shown that an accurate and efficient program can be developed based on the merged spectral-domain method and appropriate acceleration method.