Acoustic and Electromagnetic Effective Medium Properties of Fano Resonant Metamaterials

The classical electromagnetic (EM) and acoustic waves interact with metamaterials in interestingly resembling manner. A robust technique is described to retrieve effective medium parameters for both acoustic and electromagnetic fields using scattering parameters as input. To establish the applicability of technique a Fano resonator metamaterial is designed that supports response in EM and acoustics regime. The acoustic wave interaction with metamaterial exhibit exclusive negative band of effective bulk density (Peff). On the other hand, electromagnetic wave interaction with metamaterial gives negative band of effective permittivity ($\epsilon_{\text{eff}}$). The proposed method to extract effective medium parameters for classical waves interacting with metamaterials offers potential for design and characterisation of micro/nano electromechanical systems MEMs/NEMs.