Diffraction of acoustic waves by a semi-infinite cylindrical impedance pipe of certain wall thickness (Q1287020)

An asymptotic high-frequency solution is presented for the problem of diffraction of acoustic waves emanating from a ring source by a semi-infinite cylindrical pipe of certain wall thickness having different internal, external and end surface impedances. Through the application of the Fourier transform technique in conjunction with the mode matching method, the diffraction problem is described by a modified Wiener-Hopf equation of the second kind and then is solved approximately. Various numerical results illustrate the effects of parameters of the problem on the diffraction phenomenon.