3 papers
math.AP2020
Sound absorption by perforated walls along boundaries
Patrizia Donato, Agnes Lamacz, Ben Schweizer
We analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modelled by a periodic geometry with periodicity . A…
math.AP2019
Representation of solutions to wave equations with profile functions
Agnes Lamacz, Ben Schweizer
Solutions to the wave equation with constant coefficients in can be represented explicitly in Fourier space. We investigate a reconstruction formula, which provides…
math.AP2016
Effective acoustic properties of a meta-material consisting of small Helmholtz resonators
Agnes Lamacz, Ben Schweizer
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-dep…