Article
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Preserved in Portico This version is not peer-reviewed
Acoustic properties of surfaces covered by multipole resonators
Version 1
: Received: 15 March 2024 / Approved: 15 March 2024 / Online: 15 March 2024 (14:41:38 CET)
A peer-reviewed article of this Preprint also exists.
Kanev, N. Acoustic Properties of Surfaces Covered by Multipole Resonators. Acoustics 2024, 6, 509-522. Kanev, N. Acoustic Properties of Surfaces Covered by Multipole Resonators. Acoustics 2024, 6, 509-522.
Abstract
Different types of resonators are used to create acoustic metameterials and metasurfaces. Recent studies focused on the use of multiple resonators of dipole, quadrupole, octupole and even hexadecapole types. This paper considers the theory of an acoustic metasurface, which is a flat surface with a periodic arrangement of multiple resonators. The sound field reflected by the metasurface is determined. If the distance between the resonators is less than a half the wavelength of the incident plane wave, the far field can be described by a reflection coefficient that depends on the angle of incidence. This allows to characterize the acoustic properties of the metasurface by a homogenized boundary condition, which is a high order tangential impedance boundary condition. The tangential impedance depending on the multiple order of the resonators is introduced. In addition, we analyze sound absorption properties of these metasurfaces, which are a critical factor in determining their performance. The paper presents a theoretical model that accounts for the multiple orders of resonators and their impact on sound absorption. The maximum absorption coefficient for a diffuse sound field, as well as the optimal value for the homogenized impedance, are calculated for arbitrary multipole orders.
Keywords
acoustic metasurface; impedance; tangential impedance; monopole; dipole; linear multipole; reflection coefficient; absorption coefficient; high order impedance boundary condition (HOIBC); homogenization
Subject
Physical Sciences, Acoustics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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