Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00382389" target="_blank" >RIV/68407700:21230/25:00382389 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.wavemoti.2025.103509" target="_blank" >https://doi.org/10.1016/j.wavemoti.2025.103509</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.wavemoti.2025.103509" target="_blank" >10.1016/j.wavemoti.2025.103509</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control

Popis výsledku v původním jazyce

This study presents an analytical approach to model evanescent coupling in planar metasurface absorbers, specifically designed for broadband low-frequency sound absorption. While traditional absorbers rely on thick, wavelength-comparable porous materials, metasurface absorbers with deeply sub-wavelength thickness typically achieve low-frequency absorption using arrays of resonators, such as Helmholtz resonators, folded quarter-wavelength resonators, or backed micro-perforated panels. Standard surface-impedance-based models of metasurface absorbers often ignore inter-resonator coupling effects, leading to inaccuracies in frequency response predictions. Our method incorporates evanescent wave interactions between resonators, whether rectangular or circular in cross-section, arranged in regular super-cells that can repeat periodically or with mirror symmetry, which also corresponds to one super-cell placed in a rigid-walled rectangular waveguide (impedance tube). This approach reduces computational complexity significantly compared to finite element simulations, while still enabling accurate predictions of metasurface absorbing performance. Validated through comparison with two numerical finite element models, this analytical method proves effective for optimizing metasurface absorbers for low-frequency sound control. Numerical experiments further illustrate performance degradation from neglecting evanescent coupling or mismatched super-cell periodicity. Implementation MATLAB code is available on https://github.com/MilanCervenka/Evanescent.

Název v anglickém jazyce

Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control

Popis výsledku anglicky

This study presents an analytical approach to model evanescent coupling in planar metasurface absorbers, specifically designed for broadband low-frequency sound absorption. While traditional absorbers rely on thick, wavelength-comparable porous materials, metasurface absorbers with deeply sub-wavelength thickness typically achieve low-frequency absorption using arrays of resonators, such as Helmholtz resonators, folded quarter-wavelength resonators, or backed micro-perforated panels. Standard surface-impedance-based models of metasurface absorbers often ignore inter-resonator coupling effects, leading to inaccuracies in frequency response predictions. Our method incorporates evanescent wave interactions between resonators, whether rectangular or circular in cross-section, arranged in regular super-cells that can repeat periodically or with mirror symmetry, which also corresponds to one super-cell placed in a rigid-walled rectangular waveguide (impedance tube). This approach reduces computational complexity significantly compared to finite element simulations, while still enabling accurate predictions of metasurface absorbing performance. Validated through comparison with two numerical finite element models, this analytical method proves effective for optimizing metasurface absorbers for low-frequency sound control. Numerical experiments further illustrate performance degradation from neglecting evanescent coupling or mismatched super-cell periodicity. Implementation MATLAB code is available on https://github.com/MilanCervenka/Evanescent.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10307 - Acoustics

Projekt

<a href="/cs/project/GA22-33896S" target="_blank" >GA22-33896S: Pokročilé metody řízení zvukových a elastických vlnových polí: akustické černé díry, metamateriály a funkčně gradované materiály</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Wave Motion

ISSN

0165-2125

e-ISSN

1878-433X

Svazek periodika

134

Číslo periodika v rámci svazku

April

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

1-15

Kód UT WoS článku

001426712500001

EID výsledku v databázi Scopus

2-s2.0-85217397157