Diffuse sound fields: Eigenmode and free-wave models

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Abstract
The diffuse sound field as used in standard measurements in reverberant enclosures has been analyzed in terms of two different models, the eigenmode and the free-wave models. Recently the question has been raised as to the extent to which these models are consistent. To investigate these matters, the energy density as a function of position is calculated for axial, tangential, and oblique modes in a rectangular enclosure. The results show that, for a sound field consisting of several overlapping oblique modes, excited by a narrow band of noise, increases of mean sound pressure levels at the walls, edges, and corners of the enclosure are predicted that are in agreement with the results of the free-wave analysis and experiment. It is concluded that the two models are consistent. The inplications of the models, regarding the spatial uniformity of energy, are discussed. Subject Classification: [43]55.20; [43]20.30.

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