Analyzing monopole sources modeling with structural variations and material contrast: An analytical perspective

Abstract

This study presents a comprehensive analysis of modeling acoustic radiation from monopole sources within waveguides, considering variations in structural parameters, including backward passage and the use of sound-absorbent materials. The investigation employs analytical techniques, including mode-matching methods and Fourier transforms, to address the intricate boundary value problem governing acoustic behavior in waveguides. Eigenfunction expansions are utilized to describe acoustic responses in various segments, leading to systems of linear algebraic equations that are numerically solved after truncation. The research examines the influence of critical factors such as frequency, thickness of absorbent materials, and chamber length on power components, including reflection, absorption, transmission, and propagation, across different regions of the waveguide. Notably, the choice of sound-absorbent material emerges as a significant factor affecting scattering characteristics, with A-Glass outperforming E-Glass and Steel Wool in various scenarios. These insights offer valuable knowledge for optimizing acoustic systems in engineering applications, facilitating the design and enhancement of sound control mechanisms within waveguides.