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Reproduction of plane wave sound fields

Reproduction of plane wave sound fields
Reproduction of plane wave sound fields

The problem of reproducing a desired sound field in space, not just at a number of discrete points, but over a continuous two-dimensional area, is investigated. In theory, any sound field can be reconstructed perfectly in a given region by using a continuous monopole/dipole layer, but this is obviously not possible in practice. This paper attempts to give some quantitative measures of the extent to which a given sound field can be reproduced by using a number of discrete monopole sources. Some of the physical limitations that apply to any sound reproduction system are illustrated by studying a simple model. The desired sound field is a plane wave, the sources are ideal monopoles in a free field, and the optimal source accelerations are calculated using the traditional least-squares method. All calculations are undertaken in the frequency domain, and three different loudspeaker arrangements are studied. The results clearly demonstrate that the quality of the reproduced sound field is mainly determined by the size of the receiver area and the angles between the sources as seen from the center of the receiver array.

0001-4966
2992-3000
Kirkeby, Ole
aac71fe8-acd1-48a1-9d26-f8de12b45443
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Kirkeby, Ole
aac71fe8-acd1-48a1-9d26-f8de12b45443
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9

Kirkeby, Ole and Nelson, Philip A. (1993) Reproduction of plane wave sound fields. Journal of the Acoustical Society of America, 94 (5), 2992-3000. (doi:10.1121/1.407330).

Record type: Article

Abstract

The problem of reproducing a desired sound field in space, not just at a number of discrete points, but over a continuous two-dimensional area, is investigated. In theory, any sound field can be reconstructed perfectly in a given region by using a continuous monopole/dipole layer, but this is obviously not possible in practice. This paper attempts to give some quantitative measures of the extent to which a given sound field can be reproduced by using a number of discrete monopole sources. Some of the physical limitations that apply to any sound reproduction system are illustrated by studying a simple model. The desired sound field is a plane wave, the sources are ideal monopoles in a free field, and the optimal source accelerations are calculated using the traditional least-squares method. All calculations are undertaken in the frequency domain, and three different loudspeaker arrangements are studied. The results clearly demonstrate that the quality of the reproduced sound field is mainly determined by the size of the receiver area and the angles between the sources as seen from the center of the receiver array.

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More information

Published date: 1 November 1993
Additional Information: Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

Identifiers

Local EPrints ID: 468805
URI: http://eprints.soton.ac.uk/id/eprint/468805
ISSN: 0001-4966
PURE UUID: 75af1e8d-18d0-4e4c-b582-41b5dbd096a9
ORCID for Philip A. Nelson: ORCID iD orcid.org/0000-0002-9563-3235

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Date deposited: 25 Aug 2022 17:22
Last modified: 17 Mar 2024 02:32

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Author: Ole Kirkeby

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