Numerical convergences of infinite periodic patch arrays using subdomain basis functions

Infinite periodic arrays of conductive rectangular patches are analyzed in terms of their surface current distributions and various reflection properties using modal formulations involving Floquet's theorem. Proper boundary conditions are enforced to obtain an eigenvalue equation by way of Galerkin's method. In this analysis, numerical convergences of the roof-top subdomain basis functions are compared with those of the sinusoidal entire domain basis functions. Particularly, the current distributions and various reflection properties obtained through these basis functions are studied.