Interrelated responses for a class of material-metamaterial: Polarization, magnetization and opposite-sign-window

For external electromagnetic perturbations with dimensionless frequency Ω we consider, respectively, the polarization for a class of Right-Handed material and its corresponding Left-Handed metamaterial. Analytically and numerically they are interrelated through a simple functional form subordinated to the frequency value. Further, magnetization variables are also connected in an analogous way. Both interrelated materials have, concerning the polarization and magnetization, opposite signs inside the window region defined around Ω~1.