On the design of isotropic magnetic metamaterials

In this paper new 3D-isotropic magnetic resonators are proposed. These new particles possess spatial symmetries under whose all second order (pseudo-)tensors are reduced to (pseudo-)scalars. If then the contribution of higher order tensors is neglected, the particles are isotropic. To confirm that proposed particles still generate magnetic response, a quasistatic model, showing the qualitative behavior of the reported resonators, is proposed. Finally, the isotropy is experimentally checked by measuring the transmission coefficient through a waveguide loaded with such 3D particle in several orientations and results are compared with some previous proposals lacking these symmetries.