Implementation of integrated 1D hybrid phononic crystal through miniaturized programmable virtual inductances

This paper reports on the first implementation of an integrated programmable hybrid phononic crystal (hPC) for wave propagation control. At the core of the novel hPC is a newly developed and tested miniaturized array of virtual floating inductances with programmable properties. The inductance is the building block for a discrete programmable electrical transmission line aimed at wave propagation control in a 1D hPC. The hybrid characteristic is the result of the coupling between a mechanical waveguide in the form of an elastic beam, and an electrical transmission line. The medium features attenuation of mechanical wave motion due to an energy transfer to the electrical domain. Over the frequency range of wave attenuation the dispersion curves of the hPC are characterized by eigenvalue mode veering. An analytical model, based on the transfer matrix method is presented, to expeditiously calculate the dispersion curves of the hPC. Furthermore, this paper provides numerical and experimental transmittance results which validate the efficiency and tunability of the programmable electrical transmission line. The novelty of this contribution is an analytical model for calculating the dispersion curves of the 1D hPC, and a miniaturized programmable virtual inductance which gives way to a 'smart' material.