Reflected field analysis of soft-hard pentafurcated waveguide

This article deals with the propagation of fundamental plane mode in pentafurcated waveguide structure with soft-hard boundaries. Three semi-infinite ducts are located inside an infinite waveguide. In particular, we aim to find the reflected field amplitude for the underlying problem by using the standard mode-matching approach. We also present some numerical illustrations by determining the reflected field amplitude for different dimensions of the pentafurcated waveguide structures. Such investigations are useful in the reduction of noise effects generated through variety of mechanisms.