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

Erbas B., Abrahams I. D.

WAVE MOTION, vol.44, no.4, pp.282-303, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1016/j.wavemoti.2006.11.001
  • Journal Name: WAVE MOTION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.282-303
  • Keywords: Wiener-Hopf technique, matrix Wiener-Hopf equations, diffraction grating, acoustics, PERIODIC ARRAY, DIFFRACTION, MATRIX, FACTORIZATION, BREAKWATERS, SCREENS, PLANE
  • Anadolu University Affiliated: Yes

Abstract

A plane sound wave is incident at an angle theta 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. (c) 2006 Elsevier B.V. All rights reserved.