@inproceedings{a95258650aa0485cb711a0a131874224,
title = "GAUSSIAN SERIES SOLUTION FOR SONIC BLACK HOLES IN DUCT TERMINATIONS",
abstract = "Sonic black holes (ABHs) at duct terminations slow down impinging waves by means of a set of rings separated by cavities, whose inner radii diminish following a power law profile. Energy tends to concentrate at the end of the waveguide and is dissipated by visco-thermal losses, resulting in a very low reflection coefficient. This anechoic behavior is governed by a modified Webster equation that takes into account the wave propagation inside the duct of variable cross section and wall admittance. In this paper it is shown that the generalised Webster equation can be transformed into a Helmholtz-type equation with non-constant wave number. We solve its weak form by expanding the solution in terms of Gaussian functions and show how the modal distribution within the SBH affects the occurrence and disappearance of peaks and dips in the SBH reflection coefficient.",
keywords = "acoustic black hole, anechoic termination, slow sound, sonic black holes, waveguide",
author = "Jie Deng and Oriol Guasch and Davide Ghilardi",
note = "Publisher Copyright: {\textcopyright} 2023 First author et al. This is an open-access article distributed under the terms of the Creative Commons Attribution 3.0 Unported License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.; 10th Convention of the European Acoustics Association, EAA 2023 ; Conference date: 11-09-2023 Through 15-09-2023",
year = "2023",
language = "English",
series = "Proceedings of Forum Acusticum",
publisher = "European Acoustics Association, EAA",
booktitle = "Forum Acusticum 2023 - 10th Convention of the European Acoustics Association, EAA 2023",
address = "France",
}