A general integral formula to reproduce sound field from a virtual sound source located inside of secondary sources is proposed. The proposed formula extends the theory on the focused sound source of Wave Field Synthesis, for the reproduction of three-dimensional sound field. To resolve the non-existence problem involved with the reproduction of a source inside, an alternative sound field satisfying homogeneous wave equation is derived. The Kirchhoff-Helmholtz integral is reformulated in such a way that the alternative field is reproduced in terms of the secondary sources distributed on a surface. Then the general equation is reduced to simpler forms using various approximations, such as single layer formula reproducing the sound field only by monopole sound sources.

Authors: Choi, Jung-Woo; Kim, Yang-Hann
Affiliation: Korea Advanced Institute of Science and Technology (KAIT), Deajeon, Korea
AES Convention: 132 (April 2012) Paper Number: 8602
Publication Date: April 26, 2012 Import into BibTeX
Subject: Recording and Production
Permalink: https://www.aes.org/e-lib/browse.cfm?elib=16240

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