Dome effect on the resonance frequency of acoustic pots

This study contributes to a broader research programme examining the characteristics and selection criteria of acoustic pots in the medieval and Renaissance periods. The rationale behind the selection of the resonance frequency of these pots has traditionally been explained by the practice of tapping the pot's neck during manufacture. However, the frequency changes between the potter's shop and insertion into walls, vaults, or domes due to radiation conditions. It is well known in the literature on resonating pipes (e.g., organs) that, due to the inertia of the air in the open termination, the resonance frequency changes according to the insertion. Previous studies have examined baffled pipes, pipes without baffles, and pipes ending in a crown. Here, we use numerical simulation to study the resonance frequency of a Helmholtz resonator neck ended by a hemisphere. This configuration corresponds to an existing case on an archaeological site, while also providing a convenient mathematical model of a neck ending in a baffle with a certain radius of curvature. The article studies the effect of the dome on the frequency for both a Helmholtz resonator and a long pipe. Our results demonstrate that the frequency depends both on the diameter and length of the neck.