Based on the standard transfer matrix method and the local mode of vibration, the design methods for macroscopic apparatus with molecule-like energy states constructing by two-component ultrasonic superlattice with alternate layers of plexiglas and water cavities have been proposed. The acoustic Wannier-Stark ladder and Bloch oscillations appearing in the transmission spectra of phononic superlattices induced by variation of thicknesses gradient of water cavities have been demonstrated. These results indicate that phononic superlattices composed of macroscopic-size materials manifest similar microphysics effects, which is of scientific significance to make more practical superlattice apparatus by macroscopic-size materials.

phononic superlattices; Bloch oscillation; Wannier-Stark ladder; transmission enhancement