Scattering of Sound Waves in a Lined Two-stepped Waveguide

Scattering of sound waves in a lined two-stepped cylindrical duct is investigated by using the Wiener-Hopf technique. The problem is reduced to a pair of modified Wiener-Hopf equations by using the Fourier transform for the scattered field and applying the boundary conditions in the transform domain. The solution consists of four sets of infinitely many constants which provide four systems of linear algebraic equations.