“…Recent years have witnessed the continuous and robust development of acoustic metamaterials, which are defined as man-made structures of flexible and even novel acoustic effective properties [ 1 , 2 ]. By using subwavelength structures as units, acoustic metamaterials can realise many extraordinary phenomena such as negative refraction, inverse Doppler effect, cloaking, slab focusing, deep-subwavelength imaging, and super absorption [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ]. More recently, acoustic metasurfaces, metamaterials of reduced dimension, have attracted much research efforts owing to their ultra-thin thickness.…”