Wiener-hopf analysis of sound waves by a rigid cylindrical pipe with external impedance surface

Abstract

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. © 2016 Elsevier B.V., All rights reserved.