Calculating Magnetic Permeability Response of a Conducting Square Ring Structure

In the present work, we investigate the tunability of the magnetic response of a new structure. a lattice of periodically arranged close-packed square conducting rings has been studied for this purpose. here, instead of enhancing the magnetic activity via resonance, like in split-ring resonators, we concentrate on the analysis of the interactions between these rings. the core idea is to design an array with negligible capacity and to focus on inductive interactions between its building cells. in other words, in this structure, the enhancement of the microscopic process has been attained by the interaction of its building block, i.e. a collective feature has been considered. it is our goal to obtain a sizable magnetic response with this new approach. our ultimate goal is to demonstrate that the relative magnetic permeability of this architecture could be less than one or even less than zero.