Double Negative Metamaterial Based on Moebius Strip

Abstract

The article proposes a new type of metamaterial cells (metacells) based on double Moebius strip. In this research, several design options have been considered which applied the variation of the metamaterial cells design and parameters. For their analysis, the Numerical modeling methods in Ansys EM Suite program were used due to the complexity of describing the interaction of metamaterial cells of non-Euclidean geometry with radio waves. Evaluation and comparison of proposed metacells have been held based on the following characteristics: the electric permittivity and the magnetic permeability as a function of frequency. Results of the researches have demonstrated the possibility of realization of double negative metamaterial (DNG) mode in the metamaterial cells based on the double Moebius strip. The strip width, its thickness, the interstrip gap, as well as the radius of the cylinder within which the metamaterial cell may be enabled, were used as mechanical parameters of the metacells. It is essential that 10-fold and more increase of the dimensions of metamaterial cell would be required for the obtainment of the same possibilities based on the classical split ring resonator (SRR). What concerns the entire scope of the potential ring options from among the considered ones, the ring with the internal area in the form of the Star of David provides the widest transmission band in the low frequency DNG mode. The corresponding area extends up to the transition frequency of 720 MHz. Moreover, the singular ring displays the invariance of the space orientation towards the presence of the DNG mode in low frequency region, when being used as the basis for the metacell.

Index Terms
double Moebius strip; metamaterial; double negative metamaterial (DNG); SRR; amplitude-frequency response; voltage standing wave ratio; VSWR