Lorentz model for metamaterials: Optical frequency resonance circuits

We illustrate the strong connection between optics and high-frequency electronics by presenting circuit calculations for resonant metamaterials in the optical frequency range. An $RLC$ circuit model is considered. Equations for impedances are derived and used to calculate the resonance positions and quality factors of a variety of samples. These calculations are not quasistatic and include interactions between sites. The calculated resonance values show good agreement with simulations and experiments. Single-site quasistatic formulas are derived from the more general equations.