Magnetic metamaterial based on connected split and closed rings

Through connecting split and closed rings together, a three-dimensional magnetic metamaterial is proposed in this paper. When the electric field of the induced electromagnetic wave is perpendicular to the dielectric board, this construction exhibits negative effective permeability. Its magnetic resonant frequency is insensitive to the variation of the width of the metallic wires, which facilitates practical fabrications and applications. Meanwhile this construction is of significance for designing polarization-independent and isotropic magnetic and left-handed metamaterials.