Three Channels Splitter Acoustic Waves Based on Ramified System Made of Waveguides and a Resonators

Abstract

The focus of this research is to investigate how sound waves propagate in acoustical splitter waves using a ramified (branching) system. Three output lines (three channels) and an input waveguide form the components of the proposed structure. Each output line (i =1,2,3) has an acoustic waveguide of length d<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i1</inf> and one grafted resonator of length d<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i2</inf>. Three transmission and reflection rates may be computed using the Transfer Matrix Method (TMM), which is the basis of the theoretical analysis. By splitting an incident acoustic wave into three output channels, we show how the suggested configuration may be utilized to create a multipurpose device that serves as an amplitude splitter. The waveguide and resonator's dimensions have an influence on the signal's output frequency. With perfect channel transmissions, this system is able to generate a variety of waveguiding properties.