Controllable wave propagation of hybrid dispersive media with LC high-pass and bandpass networks.

This paper reports on the wave transmission characteristics of two configurations of a hybrid one dimensional (1D) medium. The hybrid characteristic is the result of the coupling between a 1D mechanical waveguide in the form of an elastic beam and an electrical network. The first configuration investigated is based on an LC high-pass network, while the second configuration is based on an LC band-pass network. For both networks, the capacitors are represented by a periodic array of piezoelectric elements that are bonded to the beam coupling, the mechanical and electrical domains, and thus the two waveguides. The coupling is characterized by a coincidence in frequency/ wavenumber corresponding to the intersection of the dispersion curves. At this coincidence frequency, the hybrid medium features attenuation of wave motion as a result of the energy transfer to the electrical network. This energy exchange is depicted in the dispersion curves by eigenvalue crossing, a particular case of eigenvalue veering. This paper presents the numerical investigation of the wave propagation in the considered media along with experimental evidence of the wave transmission characteristics. The ability to conveniently tune the dispersion properties of the electrical network by varying the inductance is exploited to adapt the periodicity of the domain, i.e., monoatomic and diatomic unit cell configurations. [ABSTRACT FROM AUTHOR]