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A Mathematical Model of Diffuse Sound Field Based on a Diffusion Equation

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A natural extension to the concept of diffuse sound field based on the mathematical theory of diffusion is proposed, and the uniformity of the sound density and the energy flow is discussed. Indeed, the analogy between a sound particle hitting walls and a single particle moving in a gas and hitting scattering objects shows that the sound density in a room follows a diffusion equation. Beside the reverberation time defined in the traditional theory of diffuse sound field, a new parameter, the diffusion coefficient, is introduced. One-dimensional solutions for rectangular enclosures with diffusely reflecting walls are given and compared to a numerical simulation of diffuse sound field derived by Kuttruff: a good agreement is observed.

Document Type: Research Article

Publication date: 1997-07-01

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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