Homogenization of acoustic metamaterials of Helmholtz resonators in fluid
- 1 May 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 77 (17), 172301
- https://doi.org/10.1103/physrevb.77.172301
Abstract
By using a two-step homogenization approach, we derive analytical formulas of effective mass density and effective bulk modulus for two- and three-dimensional acoustic metamaterials of Helmholtz resonators (HRs) in fluid. A negative 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 . 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.
Keywords
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