Multifield nested metafilters for wave propagation control

The present work proposes a novel class of multifield nested tunable metadevices that serve as high performance acoustic metafilters. designed metafilter is characterized by multiscale, hierarchical structure. At the mesoscale, metamaterial consists sequence two different periodically alternating layers: polymeric homogeneous layer, which exhibits viscoelastic constitutive response, and microstructured one. latter based on periodic repetition multiphase microscale cell composed stiff elastic external coating, phase an internal disk piezoelectric material shunted electrical circuit having impedance/admittance This tuning parameter affects properties and, in turn, overall response cell, thereby ultimately enabling to achieve optimal filtering for metadevice. Due periodicity at microscale, two-scale variational-asymptotic homogenization technique exploited frequency domain order obtain frequency-dependent layer. Subsequently, in-plane free wave propagation inside multilayered mesoscale investigated means Floquet–Bloch theory, together with transfer matrix method. By triggering shunting effect, stiffening can be achieved, demonstrated open low band gaps spectrum. capability metadevice has been assessed function its geometrical features parameter, thus paving way towards design sophisticated topologically optimized filters.