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Sample text

23]. In computer graphics, radiosity is used predominantly to calculate light energy. By considering relatively high frequencies, the method can also be used in the ®eld of acoustics. A signi®cant feature of this application is that the reverberation, or in other words, the time factor, must be taken into account. This can substantially increase the computation time. e. elements) and replaces the patches and receivers with nodes in a network. The sound propagation in the room can then be simulated by energy exchange between the nodes.

In other words, for a given frequency, the resonant forms of various modes in a long enclosure are signi®cantly di€erent. Consequently, the di€erence in damping constants among various modes is likely to be great. Given the fact that the decay curves are linear only when the damping constants are equal for all resonant modes, it appears that in long enclosures the decay curves tend to be non-linear. 3. In summary, the above analyses demonstrate that the reverberation characteristics in long enclosures are fundamentally di€erent from those of a di€use ®eld.

1. 1(a)), it can be seen that the rays are not uniformly distributed in all directions. 1(b), it is evident that with the increase of source-receiver distance, the length of the re¯ected sound path increases systematically and, thus, the SPL decreases continuously along the length. Note that the source-receiver distance below refers to the horizontal distance along the length, except where indicated. 1(c)), the ®rst-order image-source plane plays a more important part than the others. The e€ect of the other image-source planes is only signi®cant in the area near the end walls.

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