A simple iteration scheme for the computation of decay constants in enclosures with diffusely reflecting boundaries
A simple iteration scheme for the computation of decay constants in enclosures with diffusely reflecting boundaries
复制标题
用于计算具有漫反射边界的外壳中的衰减常数的简单迭代方案
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
H. Kuttruff
中科院分区：
文献类型：
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作者：
H. Kuttruff
本文描述了一种精确测定具有漫反射边界的围场的衰减常数和混响时间的方法。它是基于描述指数衰减条件下能量在此类房间内传播的积分方程。与吉尔伯特众所周知的方法相反，衰减常数仅由该积分方程的迭代解确定。给出了矩形房间的一些典型结果。根据吸声面积的分布，观察到根据Sabine方程计算的混响时间与本方法计算的混响时间有很大的不同。此外，还讨论了漫反射假设在多大程度上限制了程序的适用性。
This paper describes a procedure for the exact determination of the decay constant and hence of the reverberation time of enclosures with diffusely reflecting boundaries. It is based on the integral equation which describes the energy propagation in such rooms under the condition of exponential decay. In contrast to Gilbert’s well‐known method, the decay constant is determined by an iterative solution merely of that integral equation. Some typical results for rectangular rooms are presented. Depending on the distribution of sound absorbing areas, considerable differences between reverberation times after Sabine’s equation, on the one hand, and the present method, on the other, are observed. Furthermore, the question to what extent the applicability of the procedure is restricted by the assumption of diffuse wall reflections is discussed.