Prediction of band gaps in phononic quasicrystals based on single-rod resonances

Band-gap formation in two-dimensional quasiperiodic polymer/water heterostructures (with 4- to 14-fold Patterson symmetry in this study) is governed by strong acoustic resonances of the sound-soft single scatterers. Already with an eightfold-symmetric structure the first band gap is very isotropic. For isotropy of the higher gaps higher-symmetric structures are required. However, this can also be achieved by a smart tuning of the properties of the scatterers. Their symmetry (and therewith the symmetries of the scattered fields) has to better match the symmetry of a given structure. Polygon- and star-shaped prisms on quasiperiodic structures can yield smoother and more isotropic gaps in transmission spectra.