Wiener Hopf Analysis of Sound Waves by a Rigid Cylindrical Pipe with External Impedance Surface


Tiryakioğlu B. , Demir A.

International Journal of Mathematical Models and Methods in Applied Sciences, cilt.9, ss.558-565, 2015 (Diğer Kurumların Hakemli Dergileri)

  • Cilt numarası: 9
  • Basım Tarihi: 2015
  • Dergi Adı: International Journal of Mathematical Models and Methods in Applied Sciences
  • Sayfa Sayıları: ss.558-565

Özet

In the present work, diffraction of sound waves emanating from a ring source by a rigid cylindrical pipe with external impedance surface, is analyzed. This boundary-value problem is investigated using Wiener-Hopf technique. To obtain a couple of simultaneous Wiener-Hopf equations, Fourier transform is applied. The solution which involves two sets of infinitely many constants satisfying two infinite systems of linear algebraic equations, is found analytically by the application of saddle point technique.