Ewald-transform accelerated PML-based series expansions for the 1-D periodic 3-D green’s functions of multilayered media

This paper presents a periodic structures are of great practical use in many applications in antenna systems, microwave electronics and optics. Efficient modelling techniques rely on the Floquet-Bloch theorem to limit the simulation domain to a single unit cell. Up to now, little has been published about the 1D periodic 3D Greenpsilas function, especially when also considering the presence of a stratified dielectric background medium. In [4] the 1D periodic 3D Greenpsilas functions for a microstrip substrate are derived in the spectral domain first, and the corresponding spatial-domain quantities are obtained through an efficient sum of inverse Fourier transforms.