Acceleration of moment method solutions for discrete bodies of revolution in free space

Previous related works have dealt with discrete bodies of revolution enclosed within a circular waveguide structure. We generalize these methods to discrete periodic structures in free space for any given field excitation. This paper summarizes the mathematical approach introduced in the literature and discusses two issues relating to the free space problem-namely, how to handle an arbitrary incident field and how to enforce the periodic boundary condition. Finally, we provide examples for numerical validation.