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Sound field in long rooms with diffusely reflecting boundaries

机译：带有漫反射边界的长房间中的声场

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摘要

A diffusion equation is used to predict the sound propagation in Iong rooms with diffusely reflecting boundaries. The model is defined by two parameters, the coefficient of diffusion depending on the mean free path, and an exchange coefficient expressing wall absorption. The diffusion equation is solved for time-varying sources and in stationary state. Analytical expressions of sound attenuation and reverberation in infinite, semi-infinite and finite long rooms are quite in accordance with numerical simulations of diffuse sound field. It is also shown that the diffusion model allows to predict experimental observation, the decay curves are not linear, the reverberation time increases with the source--receiver distance, and sound attenuation is linear along corridors. The dependence of the coefficient of diffusion with the degree of wall diffusion is also discussed.
机译：扩散方程用于预测在具有漫反射边界的Iong房间中的声音传播。该模型由两个参数定义，扩散系数取决于平均自由程，交换系数表示壁吸收。求解时变源和稳态下的扩散方程。无限，半无限和有限长房间中的声音衰减和混响的解析表达式与扩散声场的数值模拟非常吻合。还表明，扩散模型可以预测实验观察结果，衰减曲线不是线性的，混响时间随源-接收器的距离而增加，并且声音衰减沿走廊是线性的。还讨论了扩散系数与壁扩散程度的关系。

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