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Application of Hamiltonian of ray motion to room acoustics.

Authors
  • Koyanagi, Sin'ichiro
  • Nakano, Takeru
  • Kawabe, Tetsuji
Type
Published Article
Journal
The Journal of the Acoustical Society of America
Publication Date
Aug 01, 2008
Volume
124
Issue
2
Pages
719–722
Identifiers
DOI: 10.1121/1.2946714
PMID: 18681564
Source
Medline
License
Unknown

Abstract

Based on a standard Hamiltonian of acoustic ray, it is shown that a ray motion in a finite region can be treated as a particle motion inside a potential well. The boundary reflections of ray can be described by introducing a so-called confining potential to confine a ray motion in a closed domain. It is shown that the square well potential model for the ray motion can reproduce the reverberation time in a two-dimensional room with irregular walls which is consistent with the Norris-Eyring law. It is also shown that the sound reverberation relates the ray chaos of the billiards in polygons with smooth convex walls.

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