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Analytical modelling for predicting the sound field of planar acoustic metasurface

Analytical modelling for predicting the sound field of planar acoustic metasurface
Analytical modelling for predicting the sound field of planar acoustic metasurface

An analytical model is built to predict the acoustic fields of acoustic metasurfaces. The acoustic fields are investigated for a Gaussian sound beam incident on the acoustic metasurfaces. The Gaussian sound beam is decomposed into a set of discrete elementary plane waves. The diffraction caused by the acoustic metasurfaces can be obtained using this analytical model, which is validated with the numerical simulations for the different incident angles of the Gaussian sound beam. This model overcomes the limitation of the method based on the generalised Snell's law which can only predict the direction of a specific diffracted order. Actually, this analytical model can be also used to predict the sound fields of acoustic metasurfaces under any incident sound if its Fourier transforms exist. This conclusion is demonstrated by studying the sound field for a point sound source incident on the acoustic metasurface. The acoustic admittances of acoustic metasurfaces are required in the calculation of the analytical model. Therefore, a numerical method for obtaining the effective acoustic admittances is proposed for the structurally complex metasurfaces without the analytical expressions of material properties, such as equivalent density and sound speed.

0021-8979
Zhou, Jie
ea4ca5fc-7c95-4b68-824a-b16792fee77a
Zhang, Xin
3056a795-80f7-4bbd-9c75-ecbc93085421
Fang, Yi
b0cdd817-9505-4b0b-930a-8f4dd57a6e41
Zhou, Jie
ea4ca5fc-7c95-4b68-824a-b16792fee77a
Zhang, Xin
3056a795-80f7-4bbd-9c75-ecbc93085421
Fang, Yi
b0cdd817-9505-4b0b-930a-8f4dd57a6e41

Zhou, Jie, Zhang, Xin and Fang, Yi (2018) Analytical modelling for predicting the sound field of planar acoustic metasurface. Journal of Applied Physics, 123 (3), [033106]. (doi:10.1063/1.5000055).

Record type: Article

Abstract

An analytical model is built to predict the acoustic fields of acoustic metasurfaces. The acoustic fields are investigated for a Gaussian sound beam incident on the acoustic metasurfaces. The Gaussian sound beam is decomposed into a set of discrete elementary plane waves. The diffraction caused by the acoustic metasurfaces can be obtained using this analytical model, which is validated with the numerical simulations for the different incident angles of the Gaussian sound beam. This model overcomes the limitation of the method based on the generalised Snell's law which can only predict the direction of a specific diffracted order. Actually, this analytical model can be also used to predict the sound fields of acoustic metasurfaces under any incident sound if its Fourier transforms exist. This conclusion is demonstrated by studying the sound field for a point sound source incident on the acoustic metasurface. The acoustic admittances of acoustic metasurfaces are required in the calculation of the analytical model. Therefore, a numerical method for obtaining the effective acoustic admittances is proposed for the structurally complex metasurfaces without the analytical expressions of material properties, such as equivalent density and sound speed.

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More information

Accepted/In Press date: 2 January 2018
e-pub ahead of print date: 19 January 2018

Identifiers

Local EPrints ID: 417607
URI: http://eprints.soton.ac.uk/id/eprint/417607
ISSN: 0021-8979
PURE UUID: 0b59da03-7fac-4dd4-af14-041e7eded5d1

Catalogue record

Date deposited: 07 Feb 2018 17:30
Last modified: 07 Oct 2020 00:19

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