Influence of the layer thickness on the magnetic response in perforated metal/dielectric/metal trilayer metamaterial

Based on a recent design of negative index material (NIM) - perforated metal/dielectric/metal structure, we numerically studied the influence of thickness of the metal layer on the magnetic response and associated optical properties. Our simulation results demonstrated that the metal layer thickness not only determines the negative refractive transmission intensity, but also affects the magnetic resonance frequency remarkably, especially for thin metal film cases. An LC-circuit model, based on a thickness dependent self-inductance, was proposed to explain the relationship of resonance frequency versus layer thickness (omega~t). This finding provides further information in designing and characterizing a preferred NIM based on metal/dielectric layered structures.