Abstract
This dissertation seeks to advance the current state of computer-based sound field simulations for room acoustics. Acoustical designers commonly use geometric simulations for quick sound field predictions. A geometric simulation of reflections from rough surfaces is still under refinement. The first project in this dissertation investigates the scattering coefficient, which quantifies the degree of diffuse reflection from rough surfaces. The main result is that predicted reverberation time varies inversely with scattering coefficient if the sound field is nondiffuse. Geometric acoustics is a high-frequency approximation to wave acoustics. Acoustical designers encounter the limits of geometric acoustics when simulating the low-frequency response from finite suspended reflector panels. The second project in this dissertation uses the rigorous boundary element method (BEM) to develop an improved low-frequency radiation model for smooth finite reflectors. The improved low-frequency model is suggested in two forms for implementation in geometric simulations. The final project in this dissertation uses BEM to investigate the sound field around nonplanar reflectors. The author has added convex edges rounded away from the source side of a finite smooth reflector to minimize coloration of reflections caused by boundary-wave interference. [Copies may be obtained from Jonathan Rathsam, jrathsam@gmail.com]
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