<Emphasis Type="Italic">n</Emphasis>th order Rose curve as a generic candidate for RF artificial magnetic material

Recent work demonstrated that the permeability and magnetic loss tangent of artificial magnetic material inclusions can be represented simply in terms of the circumference and area of the inclusion. While such a representation makes direct use of the inclusion’s circuit model, the fact that the magnetic properties can be described in terms of the perimeter and area of the inclusion facilitates designing inclusions that achieve specific constraints without the need for intensive full-wave trial and error simulations. Because of such flexibility, we propose a new set of generic curves described as nth order Rose curves to be candidates for AMMs. In fact, the new curves not only provide significant design flexibility, but provide features not present in traditional topologies, most pronouncedly a wider band over which negative permeability is achieved with low dispersion.