Relaxation of sound fields in rooms of diffusely reflecting boundaries and its application in acoustical radiosity simulation

The Journal of the Acoustical Society of America
Honghu Zhang

Abstract

The acoustical radiosity method is a computationally expensive acoustical simulation algorithm that assumes an enclosure with ideal diffuse reflecting boundaries. Miles observed that for such an enclosure, the sound energy decay of every point on the boundaries will gradually converge to exponential manner with a uniform decay rate. Therefore, the ratio of radiosity between every pair of points on the boundaries will converge to a constant, and the radiosity across the boundaries will approach a fixed distribution during the sound decay process, where radiosity is defined as the acoustic power per unit area leaving (or being received by) a point on a boundary. We call this phenomenon the "relaxation" of the sound field. In this paper, we study the relaxation in rooms of different shapes with different boundary absorptions. Criteria based on the relaxation of the sound field are proposed to terminate the costly and unnecessary radiosity computation in the later phase, which can then be replaced by a fast regression step to speed up the acoustical radiosity simulation.

References

Mar 30, 2000·The Journal of the Acoustical Society of America·J Kang
Oct 29, 2000·The Journal of the Acoustical Society of America·A Le Bot, A Bocquillet
Sep 21, 2004·The Journal of the Acoustical Society of America·Eva-Marie NosalIan Ashdown

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