Scattering of sound wave by an infinite grating composed of rigid plates

Erbaş, Barış and Abrahams, I. David (2007) Scattering of sound wave by an infinite grating composed of rigid plates. Wave Motion, 44 (4). pp. 282-303. ISSN 0165-2125

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Abstract

A plane sound wave is incident at an angle θ upon an infinite array of rigid plates, equally spaced and lying along the y-axis, where (x, y) are two-dimensional Cartesian coordinates. The boundary value problem is formulated into a matrix Wiener–Hopf equation whose kernel is, when the plates and interstices are of equal length, decomposable into two factors which commute and have algebraic behaviour at infinity. A closed form analytical solution is then obtained following the usual Wiener–Hopf procedure and numerical results are given for various angles of incidence, as well as different spacings.

Item Type:	Article
Uncontrolled Keywords:	Wiener–Hopf technique; Matrix Wiener–Hopf equations; Diffraction grating; Acoustics
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 74 Mechanics of deformable solids
Depositing User:	Ms Lucy van Russelt
Date Deposited:	23 Nov 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/953

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