A Novel Method of Moments for Numerical Analysis of Antennas Over Two-Dimensional Infinite Periodic Array of Scatterers

In this paper, a novel method of moments (MoM) for numerical analysis of antennas over a two-dimensional infinite periodic array of scatterers is proposed. The proposed MoM models the two-dimensional infinite periodic array of scatterers as a reflecting plane, i.e. electromagnetic response of the two-dimensional infinite periodic array of scatterers is formulated via their reflection coefficient. In a similar manner to a layered media Green’s function, self/mutual coupling between source and observation points over the two-dimensional infinite periodic array of scatterers is formulated as a superposition of direct wave component and TE/TM reflection wave components. Numerical simulation is performed, and performance of the proposed MoM is demonstrated. The proposed MoM has a couple of advantages. The first and second ones are mesh-free/numerical modelings of the two-dimensional infinite periodic array of scatterers via their reflection coefficient. The mesh-free modeling contributes to small computational cost whereas the numerical modeling enables to deal with the two-dimensional infinite periodic array of arbitrary shaped scatterers. The third one is ease of combination with existent numerical analysis tool of the two-dimensional infinite periodic array of scatterers.