Mode-Matching Analysis of Acoustic Wave Propagation along a Rigid Coaxial Pipe with an Internal Impedance Loading

Abstract

Mathematical analysis of the acoustic wave propagation along the coaxial waveguide, whose right part of the outer wall is impedance-coated, is considered. By determining the boundary conditions corresponding to the relevant geometry, the boundary value problem is solved by applying the Mode-Matching technique. At the end of the analysis, numerical computations are carried out to illustrate the affect of some parameters. The results demonstrate the significance of the absorbing lining in reducing the unwanted noise.