The ballistic resonance of transversal mechanical waves in random-dimer systems

The propagation of transversal mechanical waves in one-dimensional disordered system is studied in presence of the short-range correlation. The dimer and host unit cells are constructed within a particular way that provides perfect unity transmission resonances over all of the system length. Moreover, while dealing with the on-site correlation this interesting configuration also supplies the ballistic vibration propagating modes for any amount of the mass disorder in opposition with the well-known conventional diffusive random dimer model. This process is appropriate to design better mechanical filters with very high adjustable ballistic transmission quality.