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An analytical model for wedge-shaped acoustic arrays

An analytical model for wedge-shaped acoustic arrays
An analytical model for wedge-shaped acoustic arrays

This work presents the derivation of a 3D sound field model for the pressure field radiated from loudspeaker arrays in acoustic wedge spaces. These wedge arrays are described by their normal velocity profile at a given boundary. Using this model, a suitable beamforming technique with two different beam patterns is derived based on a mode-matching approach. The model is then used to study the beamforming performance as a function of frequency and distance from the array by analysing the Arc Radial Functions introduced in this work. The theory is tested on the basis of simulation results for different wedges and validated through holographic measurements made with a hemi-cylindrical array. It is found that for a large distance, a far-field approximation of the model can be used to drive the array, whereas for a short distance, the general model must be applied to yield accurate results.

Arc radial function, Beamforming, Inverse problem, Near-field model, Wedge array, Wedge space
0022-460X
56-76
Hoffmann, Falk Martin
b5b5b465-9ff4-4eb5-845e-c36c6d1c9b97
Williams, Earl G.
d59ff6ce-7bf2-4a9c-aa5d-ae00850b2e1c
Fazi, Filippo Maria
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Fontana, Simone
12b85430-cb97-4d02-bc8b-024dfecbc1b2
Hoffmann, Falk Martin
b5b5b465-9ff4-4eb5-845e-c36c6d1c9b97
Williams, Earl G.
d59ff6ce-7bf2-4a9c-aa5d-ae00850b2e1c
Fazi, Filippo Maria
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Fontana, Simone
12b85430-cb97-4d02-bc8b-024dfecbc1b2

Hoffmann, Falk Martin, Williams, Earl G., Fazi, Filippo Maria and Fontana, Simone (2019) An analytical model for wedge-shaped acoustic arrays. Journal of Sound and Vibration, 439, 56-76. (doi:10.1016/j.jsv.2018.09.041).

Record type: Article

Abstract

This work presents the derivation of a 3D sound field model for the pressure field radiated from loudspeaker arrays in acoustic wedge spaces. These wedge arrays are described by their normal velocity profile at a given boundary. Using this model, a suitable beamforming technique with two different beam patterns is derived based on a mode-matching approach. The model is then used to study the beamforming performance as a function of frequency and distance from the array by analysing the Arc Radial Functions introduced in this work. The theory is tested on the basis of simulation results for different wedges and validated through holographic measurements made with a hemi-cylindrical array. It is found that for a large distance, a far-field approximation of the model can be used to drive the array, whereas for a short distance, the general model must be applied to yield accurate results.

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HFWF%20-%20An%20analytical%20model%20for%20wedge-shaped%20acoustic%20arrays%20-%20Manuscript - Accepted Manuscript
Restricted to Repository staff only until 25 September 2020.
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More information

Accepted/In Press date: 21 September 2018
e-pub ahead of print date: 25 September 2018
Published date: 20 January 2019
Keywords: Arc radial function, Beamforming, Inverse problem, Near-field model, Wedge array, Wedge space

Identifiers

Local EPrints ID: 425962
URI: https://eprints.soton.ac.uk/id/eprint/425962
ISSN: 0022-460X
PURE UUID: 8a467596-d886-439c-85d5-3e1f65b4b17e
ORCID for Falk Martin Hoffmann: ORCID iD orcid.org/0000-0003-2925-2124

Catalogue record

Date deposited: 07 Nov 2018 17:30
Last modified: 20 Jul 2019 01:33

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Contributors

Author: Earl G. Williams
Author: Simone Fontana

University divisions

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