Scattering characteristics of non-planar trifurcated waveguides

This paper provides the mode-matching scheme to analyze the reflection and transmission of acoustic waves in a trifurcated waveguide with multiple bounding properties. The physical problem involves geometric discontinuities at interface wherein the pressure and velocity modes are matched by using continuity conditions at aperture. The use of orthogonal and/or non-orthogonal characteristics in respective duct regions enable to recast the differential system into linear algebraic system that can be solved through inversion. It is seen that the variation of symmetric discontinuities and the change of material properties greatly affect the scattering radiation. The solution is validated altogether through the opposite analytic and numerical experiments.