“…After a pioneering work in [5], the topology optimisation is intensively studied mainly in the field of structural mechanics in order to design light but stiff structural members [5,40,45]. Recently, one of the main interests in the topology optimisation community is to widen the applicability of the topology optimisation to problems in various engineering fields other than structural mechanics, such as thermal problems [44,23,29], fluid problems [42,36,43], elastodynamic problems [22,39,32], electromagnetic wave problems [47,2,27,20,17], and so on. There are also many efforts to extend the topology optimisation into various design problems in acoustics such as an acoustic horn to maximise sound level [41], an acoustic metamaterial which realises a material with negative effective bulk modulus [30], and a poroelastic soundproofing material [28,46].…”