This article elucidates a non-planar trifurcated wave scattering problem by considering incident wave through multiple regions of the underlying waveguide. The scattered field potentials in respective duct regions are obtained via mode-matching technique (MMT) thereby dealing with the non-planar surfaces and step discontinuities positively. The scattering effects are determined by allowing the incident wave from each region explicitly and then simultaneously. The distribution of energies subject to different choices of regions for incidents are presented to analyze the effects of varying regions of incidents. It is mentioned that obtained solutions are thoroughly validated thereby displaying the scattering characteristics graphically.

This article applies the mode-matching technique to discuss acoustic scattering of waves in flexible duct/channel at the junction of planar discontinuities. Fields across the junction are expanded in normal modes that involve discontinuities in velocities at the flanged junction. The reflected and transmitted fields are matched at interface wherein the use of generalized orthogonal properties (in case of flexible bounded ducts) enables the mode coefficients in terms of system of infinite linear algebraic equations. This system is truncated and solved numerically. The numerical experiments show that the variation of structural discontinuities along with different bounding surfaces significantly alters the reflected and transmitted powers.

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