Full wave MoM analysis & tricks for EM interactions inside a rectangular cavity (Part 1: Green's functions & the out-of-singularity zone)

This paper presents the various steps to build a MoM code when working in a rectangular cavity as boundary condition. Due to space considerations, this paper is splitted in 3 parts. Part 1 focus on the green's function for a metallic box for electric currents only. The convergence of the green's function out of the singularity zone (r#r') and close to the singularity zone is reviewed with a specific attention for large size cavities with tricks to reduce the computational time and to increase the accuracy. Part 2, to be published will focus on the treatment of the green's functions in the singularity zone with the Ewald method & results of green's function convergence for the calculation of the involved series. Finally, Part 3 also to be published will cover the implementation of the whole cavity green's function in a MoM code including arbitrary geometries made of triangular, wire & wire to surface junctions with treated examples.