Sound absorption by perforated walls along boundaries
Patrizia Donato, Agnes Lamacz, Ben Schweizer · Applicable Analysis · 2020
We analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modeled by a periodic geometry with periodicity ϵ>0. A resonator volume of thickness ε is connected with thin channels (opening ϵ3) with the main part of the macroscopic domain. For this problem with three different scales we analyze solutions in the limit ϵ→0 and find that the effective system can describe sound absorption.