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