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High frequency sound propagation in a network of interconnecting streets

Abstract:
We propose a new model for the propagation of acoustic energy from a time-harmonic point source through a network of interconnecting streets in the high frequency regime, in which the wavelength is small compared to typical macro-lengthscales such as street widths/lengths and building heights. Our model, which is based on geometrical acoustics (ray theory), represents the acoustic power flow from the source along any pathway through the network as the integral of a power density over the launch angle of a ray emanating from the source, and takes into account the key phenomena involved in the propagation, namely energy loss by wall absorption, energy redistribution at junctions, and, in 3D, energy loss to the atmosphere. The model predicts strongly anisotropic decay away from the source, with the power flow decaying exponentially in the number of junctions from the source, except along the axial directions of the network, where the decay is algebraic. © 2012 Elsevier Ltd.
Publication status:
Published

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Publisher copy:
10.1016/j.jsv.2012.07.030

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Journal:
JOURNAL OF SOUND AND VIBRATION More from this journal
Volume:
331
Issue:
25
Pages:
5537-5561
Publication date:
2012-12-03
DOI:
EISSN:
1095-8568
ISSN:
0022-460X


Language:
English
Pubs id:
pubs:404443
UUID:
uuid:0c9338a6-85a4-4eea-87dc-0a9324bd9572
Local pid:
pubs:404443
Source identifiers:
404443
Deposit date:
2013-11-16
ARK identifier:

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