Analysis of Time-Periodic Metallic Metamaterials

This paper presents an analytical framework based on circuit models to describe periodically time-varying metallic metamaterials. The structure is illuminated by a plane wave with arbitrary frequency. The interaction between the incident electromagnetic wave and the time-varying metamaterial, both vibrating differently, results in rich an exotic phenomenology. The derivation of the circuit model, based on integral-equation techniques and Floquet-Bloch expansions, is quite useful to reproduce the system behavior as well as to predict the dynamic response by means of temporal harmonics. Anomalous diffraction or pulsed beams are two of the possible physical manifestations that are well represented by the proposed approach.