“…In recent years, the emergence of acoustic metamaterials (AMMs) (Climente et al, 2012; Lu et al, 2020; Li et al, 2020; Laly et al, 2022) provides new possibilities for the fabrication of low-frequency noise absorbers (Zhang et al, 2017; Yang and Sheng, 2017; Wu et al, 2016). Many subwavelength noise-absorbing materials are progressed based on resonant metamaterials, including Helmholtz resonators (HRs) (Ma et al, 2014; Kim and Lee, 2014; Yu et al, 2017; Jung et al, 2018), and micro-perforated plate absorbers (MPAs) (Buret and Iu, 2012; Tayong et al, 2013; Tao et al, 2014; Liu et al, 2021), which simplifies the design and fabrication and has high absorption efficiency that can be tuned by adjusting the structure but not limited by the constituent materials (Kumar et al, 2020; Nguyen et al, 2020; Qian et al, 2017; Sakagami et al, 2009). For instance, Hong et al presented a Helmholtz resonator with variable helical structure, which changes the acoustic impedance of the absorber to improve its performance (Hong et al, 2022).…”