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In this paper a systematic approach to the design of bulk isotropic magneticmetamaterials is presented. The role of the symmetries of both the constitutiveelement and the lattice are analyzed. For this purpose it is assumed that themetamaterial is composed by cubic SRR resonators, arranged in a cubic lattice.The minimum symmetries needed to ensure an isotropic behavior are analyzed, andsome particular configurations are proposed. Besides, an equivalent circuitmodel is proposed for the considered cubic SRR resonators. Experiments arecarried out in order to validate the proposed theory. We hope that thisanalysis will pave the way to the design of bulk metamaterials with strongisotropic magnetic response, including negative permeability and left-handedmetamaterials.

Towards a systematic design of isotropic bulk magnetic metamaterials using the cubic point groups of symmetry