Plane wave diffraction by the layered structure of the infinite 2D periodic lattices

Plane EM wave diffraction phenomenon for the layered structure of the infinite 2D periodic lattices using the Method of Auxiliary Sources (MAS) is studied. There are considered the cases when this structure in embedded in the free media and also inside of the dielectric layer. The lattice elements represent open and closed conductors with the small electric radius, which have the resonant properties. As a result of the multiple resonances, these structures should have interesting complex materials properties. The existence of several resonant layers will amplify these phenomena.