“…The lattice constant of the AMMs can be deep subwavelength because of the local resonance mechanism, and therefore reveals obvious advantages in the low-frequency acoustic field (Liu et al, 2000). Various AMMS structures have been proposed to achieve acoustic wave manipulation or absorption functions, including a Helmholtz resonator (HR) (Kim et al, 2006;Jimenez et al, 2017;Shao et al, 2020;Ma et al, 2022), membrane-type acoustic metamaterial (MAM) (Mei et al, 2012;Ma et al, 2013;Yang et al, 2016), metasurface (Li et al, 2017;Chen et al, 2019;Liu et al, 2021), and acoustic black hole (ABH) (Zhao et al, 2014;Pelat et al, 2020;Gao et al, 2021).…”