Effect of the coupling guide cross section on transmission and reflection mechanisms in a ramified acoustic system: Theoretical analysis and COMSOL validation

¹ Laboratory of Materials, Waves, Energy and Environment, Team of Acoustics, Photonics and Materials, Faculty of Sciences, Mohamed Frist University, Oujda, Morocco
² Laboratory of Engineering Sciences and Applications ENSA Alhoceima, Morocco
³ Laboratory of Waves and Complex Media, University Le Havre Normandy, France

Abstract

In this study, we examine the propagation of acoustic waves in a multichannel waveguide system composed of an input waveguide with a cross section S₀ that corresponds to S_Ref and three output channels with cross sections S₁, S₂, and S₃ connected by a central coupling waveguide of length d_c and a cross section S_c. The study focuses on analyzing the transmission and reflection rates as a function of the cross-section S_c of the central guide. The theoretical results are validated through numerical simulations performed using COMSOL Multiphysics, showing excellent agreement between the analytical predictions and the simulation results. A very good agreement is obtained between theory and numerical simulations, confirming the accuracy of the proposed model. The results demonstrate the ability to control and adjust acoustic transmission paths by modifying the geometric parameters of the ramified system.