Metamaterials composed of fractal sphere molecules

The properties of artificial dielectric metamaterials depend primarily on the type of inclusions or "molecules" considered as well as their distribution in a host medium. Some common types of molecule geometries that were considered in the past for artificial dielectric materials include simple dipoles and spheres. We consider a fractal sphere approach combining aspects of both the dipole and sphere resulting in an inclusion with a greater number of resonances and resonant behavior at lower frequencies than either their dipole or sphere counterparts of the same size. The results of this investigation suggest that the fractal sphere molecules allow us to push the lower frequency band and, in some instances, also provide multiband response.