Homogenization of acoustic metamaterials of Helmholtz resonators in fluid

TitleHomogenization of acoustic metamaterials of Helmholtz resonators in fluid
Publication TypeJournal Article
Year of Publication2008
AuthorsHu XH, Ho KM, Chan CT, Zi J
Journal TitlePhysical Review B
Volume77
Pages172301
Date PublishedMay
Type of ArticleArticle
ISBN Number1098-0121
Accession NumberISI:000256763800006
Keywordsscattering
Abstract

By using a two-step homogenization approach, we derive analytical formulas of effective mass density rho(e) and effective bulk modulus B-e for two- and three-dimensional acoustic metamaterials of Helmholtz resonators (HRs) in fluid. A negative B-e is found at certain frequencies due to the monopolar resonance, leading to a low-frequency acoustic band gap. A unified picture is presented for metamaterials of HRs and three-component metamaterials of negative rho(e). Our work supports recent observations in a one-dimensional array of HRs [N. Fang et al., Nat. Mater. 5, 452 (2006)] and presents important high-dimensional extensions for exploring more fascinating phenomena.

DOI10.1103/PhysRevB.77.172301
Alternate JournalPhys. Rev. B