“…By using this engineered structure, the dispersion relation and bandgap of acoustic waves can be tailored and formed, which enables acoustic propagation to be controlled. For instance, a local modulation in the periodic geometry creates a cavity [34] and a waveguide [35][36][37][38] sustained by the bandgap, which spatially traps and guides acoustic waves, respectively. This PnC concept has been introduced into various micromechanical systems at microwave frequencies, including surface acoustic wave (SAW) devices [39,40], suspended nanobeams [6,7,15,16,41] and membranes [37,38,42].…”