Homogenization of acoustic metamaterials of Helmholtz resonators in fluid

被引：92

作者：

Hu, Xinhua ^{[1
,2
]}

Ho, Kai-Ming ^{[1
,2
]}

Chan, C. T. ^{[3
]}

Zi, Jian ^{[4
,5
]}

机构：

[1] Iowa State Univ, Ames Lab, Ames, IA 50011 USA

[2] Iowa State Univ, Dept Phys & Astron, Ames, IA 50011 USA

[3] Hong Kong Univ Sci & Technol, Dept Phys, Kowloon, Hong Kong, Peoples R China

[4] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China

[5] Fudan Univ, Surface Phys Lab, Shanghai 200433, Peoples R China

来源：

PHYSICAL REVIEW B | 2008年 / 77卷 / 17期

关键词：

D O I：

10.1103/PhysRevB.77.172301

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：4

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