Homogenation of acoustic metamaterials of Helmholtz resonators in fluid
Journal Article
·
· Physical Review B
OSTI ID:977138
By using a two-step homogenization approach, we derive analytical formulas of effective mass density {rho}{sub e} and effective bulk modulus B{sub e} for two- and three-dimensional acoustic metamaterials of Helmholtz resonators (HRs) in fluid. A negative B{sub 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}{sub 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.
- Research Organization:
- Ames Laboratory (AMES), Ames, IA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC02-07CH11358
- OSTI ID:
- 977138
- Report Number(s):
- IS-J 7462
- Journal Information:
- Physical Review B, Journal Name: Physical Review B Journal Issue: 172301 Vol. 77; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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