Authors: | Lamacz, Agnes Schweizer, Ben |
Title: | Effective acoustic properties of a meta-material consisting of small Helmholtz resonators |
Language (ISO): | en |
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. |
Subject Headings: | Helmholtz equation homogenization resonance perforated domain frequency dependent effective properties |
URI: | http://hdl.handle.net/2003/34958 http://dx.doi.org/10.17877/DE290R-17006 |
Issue Date: | 2016-03-16 |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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Preprint 2016-01.pdf | 494.97 kB | Adobe PDF | View/Open |
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