The effect of geometric parameters of a single-gap SRR metamaterial on its electromagnetic properties as a unit cell of interior invisibility cloak in the microwave regime

Some geometric parameters of a metamaterial unit cell with single-gap Split Ring Resonator (SRR) are modified and the effect of these changes on its electromagnetic properties is examined. In particular, the relative magnetic permeability has been investigated. For unit cells with various geometric parameters the frequency fp in which the relative magnetic permeability is close to zero as well as the resonance frequency f0 are obtained. Finally, as an example, for each of the unit cells, the relative magnetic permeability at 9.5 GHz is obtained and by using these results an electromagnetic invisibility cloak is designed operating at 9.5 GHz which can has three different unit cells with different geometric parameters for each of its layers.