A Two-Tape Design of Metamaterial Based on a Quasi-fractal Approach

Various options for the 3D design of a metamaterial cell based on two-ribbon split rings have been proposed and studied. When synthesizing the geometry of the outer tape, a quasi-fractal approach was used, which made it possible to form periodic sequences of depressions (slots) in its end surfaces. Their alternation from both ends of the tape was carried out synchronously or in a checkerboard pattern. In this case, the depth of all grooves could be fixed or changed according to a certain law. An Ansys HFSS electromagnetic simulator was used to study the properties of the proposed metamaterial cell designs. In the course of the research, the main attention was paid to determining the frequency ranges in which the dielectric permittivity and magnetic permeability take negative values (double-negative (DNG) zones). When a square conductor oriented perpendicular to the plane of the rings is included in the metacell, a relative bandwidth was achieved in the low-frequency zone, in which the condition of negative values of the dielectric permittivity and magnetic permeability is observed. The relative frequency band of the DNG zone in this case is 185.22%.