Effective acoustic properties of a meta-material consisting of small Helmholtz resonators
| dc.contributor.author | Lamacz, Agnes | |
| dc.contributor.author | Schweizer, Ben | |
| dc.date.accessioned | 2016-05-09T11:33:12Z | |
| dc.date.available | 2016-05-09T11:33:12Z | |
| dc.date.issued | 2016-03-16 | |
| dc.description.abstract | We investigate the acoustic properties of meta-materials that are inspired by sound-absorbing structures. We show that it is possible to construct meta-materials with frequency-dependent effective properties, with large and/or negative permittivities. Mathematically, we investigate solutions υ^ε:Ω^ε→ℝ to a Helmholtz equation in the limit ε→0 with the help of two-scale convergence. The domain Ωε is obtained by removing from an open set Ω⊂ℝⁿ in a periodic fashion a large number (order ε⁻ⁿ) of small resonators (order ε). The special properties of the meta-material are obtained through sub-scale structures in the perforations. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/34958 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-17006 | |
| dc.language.iso | en | |
| dc.subject | Helmholtz equation | en |
| dc.subject | homogenization | en |
| dc.subject | resonance | en |
| dc.subject | perforated domain | en |
| dc.subject | frequency dependent effective properties | en |
| dc.subject.ddc | 610 | |
| dc.title | Effective acoustic properties of a meta-material consisting of small Helmholtz resonators | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |