5. Basic Properties of Checkerboard Metasurfaces

Checkerboard metasurface (CBMS) consists of an infinitesimally thin layer of electrically small complementary square metallic patches and apertures (Fig. 5.1). The name MTS is adopted here because the periodicity d of the checkerboard lattice is small in terms of the wavelength so that the global effect is the same as that of a continuous impedance surface. Propagation of waves driven by impedance discontinuity has been investigated in Quarfoth and Sievenpiper (IEEE Trans Antennas Propag 61(7):3597–3606, 2013, [1]). The present solution can be viewed as an implementation of this concept. In fact, the behavior of the CBMS changes depending on whether the square patches’ vertexes are connected by short-circuits or separated by a small gap.