Wave scattering in symmetric channel with step discontinuities

This paper investigates wave scattering phenomena, specifically reflection and transmission amplitudes, for plane waves incident on cascading junctions and cavities. The research emphasizes on the impact of discontinuities applied to corrugated waveguides. Additionally, the extraordinary acoustic transmission (EAT) phenomenon is explored as a special case of the model. Energy conservation is demonstrated using the Green’s identity. The analyses are conducted using the mode matching method (MMM). Surface and contour plots are presented for selected frequencies. The results reveal that by using symmetry and observing one mode’s propagation, the model achieves EAT, reducing computational work. While increasing jump discontinuities in junctions leads to a pattern of blurred EAT, whereas fewer junctions result in clearer EAT observations. Our computed results can be used as a point of reference for wave scattering problems involving further different sorts of geometrical models. The findings of this study have significant implications, not only in modeling practical exhaust systems but also in the field of acoustic waveguide theory, fostering innovation in the development of efficient and optimized waveguide systems.