“…There are many studies in the literature on optical structures, such as metamaterials and photonic crystals (Sung et al, 2011;Alipour-Banaei et al, 2017;Chen et al, 2017;Zhang et al, 2018;Benhaddad et al, 2019;Napolskii et al, 2020;Shi et al, 2020;Singer et al, 2020). Phononic structures affected by sound waves also show structurally similar properties to photonic crystals among optical structures (Lu et al, 2017;Sun et al, 2019;Ayman et al, 2020;Rostami et al, 2020;Trzaskowska et al, 2020;Rostami et al, 2021).…”