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

Erbas B., Abrahams I. D.

WAVE MOTION, cilt.44, sa.4, ss.282-303, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.wavemoti.2006.11.001
  • Dergi Adı: WAVE MOTION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.282-303
  • Anahtar Kelimeler: Wiener-Hopf technique, matrix Wiener-Hopf equations, diffraction grating, acoustics, PERIODIC ARRAY, DIFFRACTION, MATRIX, FACTORIZATION, BREAKWATERS, SCREENS, PLANE
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.