Creating double negative index materials using the Babinet principle with one metasurface

Metamaterials are patterned metallic structures which permit access to a novel electromagnetic response, negative index of refraction, impossible to achieve with naturally occurring materials. Using the Babinet principle, the complementary split ring resonator (SRR) is etched in a metallic plate to provide negative $\ensuremath{\epsilon}$, with perpendicular direction. Here we propose a new design, etched in a metallic plate to provide negative magnetic permeability $\ensuremath{\mu}$, with perpendicular direction. The combined electromagnetic response of this planar metamaterial, where the negative $\ensuremath{\mu}$ comes from the aperture and the negative $\ensuremath{\epsilon}$ from the remainder of the continuous metallic plate, allows achievement of a double negative index metamaterial (NIM) with only one metasurface and strong transmission. These designs can be used to fabricate NIMs at microwave and optical wavelengths and three-dimensional metamaterials.