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@article{Brandao:2020:10.1016/j.wavemoti.2020.102583,
author = {Brandao, R and Schnitzer, O},
doi = {10.1016/j.wavemoti.2020.102583},
journal = {Wave Motion},
pages = {1--25},
title = {Asymptotic modeling of Helmholtz resonators including thermoviscous effects},
url = {http://dx.doi.org/10.1016/j.wavemoti.2020.102583},
volume = {97},
year = {2020}
}

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TY  - JOUR
AB  - We systematically employ the method of matched asymptotic expansions to model Helmholtz resonators, with thermoviscous effects incorporated starting from first principles and with the lumped parameters characterizing the neck and cavity geometries precisely defined and provided explicitly for a wide range of geometries. With an eye towards modeling acoustic metasurfaces, we consider resonators embedded in a rigid surface, each resonator consisting of an arbitrarily shaped cavity connected to the external half-space by a small cylindrical neck. The bulk of the analysis is devoted to the problem where a single resonator is subjected to a normally incident plane wave; the model is then extended using “Foldy’s method” to the case of multiple resonators subjected to an arbitrary incident field. As an illustration, we derive critical-coupling conditions for optimal and perfect absorption by a single resonator and a model metasurface, respectively.
AU  - Brandao,R
AU  - Schnitzer,O
DO  - 10.1016/j.wavemoti.2020.102583
EP  - 25
PY  - 2020///
SN  - 0165-2125
SP  - 1
TI  - Asymptotic modeling of Helmholtz resonators including thermoviscous effects
T2  - Wave Motion
UR  - http://dx.doi.org/10.1016/j.wavemoti.2020.102583
UR  - https://www.sciencedirect.com/science/article/pii/S0165212520300317?via%3Dihub
UR  - http://hdl.handle.net/10044/1/80039
VL  - 97
ER  -

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