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Membranes, Plates, Solids, and Acoustic Spaces

The most prevalent method for simulating distributed media in more than one dimension, such as membranes and plates, is by means of a modal expansion. That is, the resonances of the object are explicitly simulated using second-order resonators, typically arranged in parallel. More recently, explicit physical models in higher dimensions have been developed using meshes of coupled digital waveguides [66,47,68]. A particularly convincing example is gong synthesis developed by Scott Van Duyne using nonlinearities and lowpass losses around the rim of a lossless waveguide mesh [69].

Since ``plate reverbs'' are considered better than ``spring reverbs'' (which are essentially one dimensional), and since three-dimensional acoustic reverberation (such as in a concert hall) is considered superior to plate reverberation, it is logical to ask whether waveguide meshes in dimensions higher than three will provide yet better reverberation. This remains largely a subject of future research.

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``Physical Modeling Synthesis Update'', by Julius O. Smith III, Computer Music Journal, vol. 20, no. 2 (summer), pp. 44-56, MIT Press, 1996.
Copyright © 2005-12-28 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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