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Open AccessFeature PaperArticle

Sound Absorption and Diffusion by 2D Arrays of Helmholtz Resonators

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Instituto de Investigación para la Gestión Integrada de Zonas Costeras, Universitat Politècnica de València, Carrer del Paranimf 1, 46730 Gandia, València, Spain
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Instituto de Instrumentación para Imagen Molecular (i3M), Consejo Superior de Investigaciones Científicas, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain
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Laboratoire d’Acoustique de l’Université du Mans, LAUM UMR CNRS 6613, Av. Olivier Messiaen, 72085 Le Mans, France
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Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain
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Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(5), 1690; https://doi.org/10.3390/app10051690
Received: 24 January 2020 / Revised: 20 February 2020 / Accepted: 24 February 2020 / Published: 2 March 2020
(This article belongs to the Special Issue Recent Advances in Phononic Crystals and Metamaterials)
We report a theoretical and experimental study of an array of Helmholtz resonators optimized to achieve both efficient sound absorption and diffusion. The analysis starts with a simplified 1D model where the plane wave approximation is used to design an array of resonators showing perfect absorption for a targeted range of frequencies. The absorption is optimized by tuning the geometry of the resonators, i.e., by tuning the viscothermal losses of each element. Experiments with the 1D array were performed in an impedance tube. The designed system is extended to 2D by periodically replicating the 1D array. The 2D system has been numerically modeled and experimentally tested in an anechoic chamber. It preserves the absorption properties of the 1D system and introduces efficient diffusion at higher frequencies due to the joint effect of resonances and multiple scattering inside the discrete 2D structure. The combined effect of sound absorption at low frequencies and sound diffusion at higher frequencies, may play a relevant role in the design of noise reduction systems for different applications. View Full-Text
Keywords: sound absorption; sound diffusion; absorption coefficient; diffusion coefficient; Helmholtz resonators sound absorption; sound diffusion; absorption coefficient; diffusion coefficient; Helmholtz resonators
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MDPI and ACS Style

Herrero-Durá, I.; Cebrecos, A.; Picó, R.; Romero-García, V.; García-Raffi, L.M.; Sánchez-Morcillo, V.J. Sound Absorption and Diffusion by 2D Arrays of Helmholtz Resonators. Appl. Sci. 2020, 10, 1690.

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