“…[14][15][16][17][18] Due to the intrinsic limitations of nonlinear effects, including the inherent signal distortions and transmission efficiency, etc., more attentions have been focused on the asymmetric acoustic transmission (AAT). Several linear acoustic devices have been proposed to realize the AAT, such as acoustic gratings, [19][20][21][22][23][24][25] phononic crystals, [26][27][28][29][30] metamaterials, [31,32] and metasurfaces, [33][34][35] which have advantages of the high transmission efficiency and broad bandwidth of the AAT. However, for most of these AAT structures, the positive transmitted waves are usually two beam, [22] three beam, [19,20] multiple beam, [23,24,26] or distorted waveform in waveguides, [28][29][30]34,35] and it is difficult to concentrate the transmitted energy into a signal acoustic beam.…”