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Efficient calculation of two-dimensional periodic and waveguide acoustic Green’s functions

Horoshenkov, K. V. and Chandler-Wilde, S. N. (2002) Efficient calculation of two-dimensional periodic and waveguide acoustic Green’s functions. Journal of the Acoustical Society of America, 111 (4). pp. 1610-1622. ISSN 0001-4966

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To link to this item DOI: 10.1121/1.1460920

Abstract/Summary

New representations and efficient calculation methods are derived for the problem of propagation from an infinite regularly spaced array of coherent line sources above a homogeneous impedance plane, and for the Green's function for sound propagation in the canyon formed by two infinitely high, parallel rigid or sound soft walls and an impedance ground surface. The infinite sum of source contributions is replaced by a finite sum and the remainder is expressed as a Laplace-type integral. A pole subtraction technique is used to remove poles in the integrand which lie near the path of integration, obtaining a smooth integrand, more suitable for numerical integration, and a specific numerical integration method is proposed. Numerical experiments show highly accurate results across the frequency spectrum for a range of ground surface types. It is expected that the methods proposed will prove useful in boundary element modeling of noise propagation in canyon streets and in ducts, and for problems of scattering by periodic surfaces.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:32639
Publisher:Acoustical Society of America

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