A compact equivalent circuit model for the SRR structure in metamaterials

This paper proposes a compact equivalent circuit model to characterize the split ring resonator (SRR) structure in metamaterials, based on the modeling approaches of the spiral inductors in MMIC. In the equivalent circuit model, the lumped elements distribute compactly, and can be directly estimated by the geometry parameters of the SRR. Numerical simulation results show that the model can simultaneously predict more than one resonance frequency of the SRR, and the predicted resonance frequency is accurate enough. The equivalent circuit model can be advantageous to probe the root of the negative permeability, especially helpful for engineers to analyze SRR-based metamaterials exhibiting left-handed properties over multiple frequency bands.