Study of a Metamaterial Unit Cell with a Flat Möbius Strip: Frequency Characteristics and DNG Bands

This work reports the results obtained for a novel metamaterial unit cell architecture developed using the concept of a flat Möbius strip. The modeling was performed using the Ansys HFSS software package. The influence of various structural modifications and substrate materials on the frequency bands with simultaneous negative values of magnetic and dielectric permeabilities (Double Negative, DNG bands) was analyzed. It is shown that changes in the dimensions of the connecting elements and the use of different materials significantly affect the position and width of the DNG bands. A controllable shift of the DNG region spanning $180-1300 \mathrm{MHz}$ was identified through variations in the geometry and relative permittivity of the substrate. The obtained results may be useful for the design of metamaterials for microwave devices, including antennas and filters.