Can Perfectly Electric Conducting Obstacles Modify the Permeability of Metamaterial? An Investigation Using Lorentz, Floquet, and Full-Wave Models

The Lorentz model shows that the inclusion of perfectly electric conducting (PEC) obstacles in a host medium introduces both electric and magnetic polarizabilities that modify the permittivity and permeability tensors of the composite medium. In contrast, the Floquet eigenmodal analysis shows that the PEC obstacles, while modifying the permittivity tensor, have no effect on the permeability tensor. Interestingly, numerical results obtained from full-wave analyses of metamaterial slabs support the Floquet model. The source for the inaccuracy in the Lorentz model is critically examined. Characteristic features of metamaterials made with nonresonant and resonant types of obstacles are investigated, and the numerical results obtained from four independent models are compared and discussed.