“…Due to their remarkable acoustic properties, PCs and AMMs, simply termed thereafter AMMs, already find application in various technological fields with broad commercial potential 11,12 , such as room acoustics and noise insulation [13][14][15] but also in radical acoustic innovations, e.g., the development of acoustic super-lenses, low-frequency reflectors, acoustic cloaks and particle manipulators [16][17][18][19][20][21] . Additionally, AMMs have been used to create acoustic wave decelerators and acoustic traps for quantum sensing and computation [22][23][24][25][26][27] . The field of AMMs is dynamic and expansive with new applications continuously appearing.AMM design and development is based on established mathematical and computational tools.…”