Broadband transparency observation in different topologies

Double layered metamaterials on the base of Babinet principle previously have been stated to show ultrabroadband transparency in microwave range. As shown in Ref [1], checkerboard patterned planar metamaterials due to match of multipoles decomposition in each layer ensure total transmission, i.e., $\mathrm{T}=100 \%$ of tranmitted wave (Fig. 1 c, green curve). Reasonable question is “does it work for another kind of simple geometries?”. Moreover, in case of manifestation of transparency in these geometries, it is crucial to study how it is related to their symmetry. Here we demonstrate complementary metasurfaces comprising unit cells of rhombic and triangular symmetry. We examine topology of transparency phenomena and attempt to clarify their dependence on the symmetry of unit cell, i.e., number of angles (nods), scale and other.