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 |
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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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