Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective acoustic properties of a meta-material consisting of small
  Helmholtz resonators   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
$u^\varepsilon: \Omega_\varepsilon \rightarrow \mathbb{R}$ to a Helmholtz
equation in the limit $\varepsilon\rightarrow 0$ with the help of two-scale
convergence. The domain $\Omega_\varepsilon$ is obtained by removing from an
open set $\Omega\subset \mathbb{R}^n$ in a periodic fashion a large number
(order $\varepsilon^{-n}$) of small resonators (order $\varepsilon$). The
special properties of the meta-material are obtained through sub-scale
structures in the perforations.

1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org