“…These fascinating properties have opened the way to the development of compact sound absorbing materials. For example, membrane-type (Yang et al, 2008(Yang et al, , 2015Park et al, 2011;Mei et al, 2012;Lu et al, 2016;Gao et al, 2017) or scape-coiling (Liang and Li, 2012;Li et al, , 2013Li et al, , 2014Li et al, , 2015Xie et al, 2013Xie et al, , 2014Molerón et al, 2016;Krushynska et al, 2018) metamaterials are capable of totally absorbing sound at frequencies, when the corresponding wavelength is up to two orders of magnitude larger than their thickness. Rigidly-backed structures with Helmholtz resonators (HRs) (Jiménez et al, 2016(Jiménez et al, , 2017a) also act as perfect absorbers, if the critical coupling conditions are satisfied (Theocharis et al, 2014;Merkel et al, 2015;Groby et al, 2016).…”