Extreme room shapes break reverberation-field formulas because sound visits surfaces unevenly
Evidence
However, one must be careful in taking this result to extremes. A long and very thin cylinder will have a large surface area, but Equation 6.6 will not predict the reverberation level correctly because in this case the sound will not visit all the surfaces with equal probability. This will have the effect of modifying the average absorption coefficient and so will alter the prediction of Equation 6.6. — David Howard, Jamie Angus, coustics and Psychoacoustics, 1811
Categorization
- XREF: Violation of equal-probability assumptions ties into general modeling limits like diffuse-field breakdown in chapter’s later low-frequency discussion. — connects to: Reverberation equations fail in extreme geometries where surfaces are visited unequally — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1772; Reverberation calculations break down for tunnel-like room shapes. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1837; Statistical room-acoustics models fail for elongated geometries where surfaces aren’t uniformly visited — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1772 (+1 more)
Broader Connections
- Reverberation equations fail in extreme geometries where surfaces are visited unequally
#corroborates(0.98) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1772 - Diffuse-field equations fail in geometrically extreme rooms
#corroborates(0.97) - Statistical room-acoustics models fail for elongated geometries where surfaces aren’t uniformly visited
#expands(0.92) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1772 - Reverberation calculations break down for tunnel-like room shapes.
#exemplifies(0.86) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1837