title: Application of Hamiltonian of ray motion to room acoustics.
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.
authors.affiliation: Physics Department, Kyushu University, Shiobaru, Fukuoka 815-8540, Japan.
authors.forename: Sin'ichiro
authors.initials: S
authors.lastname: Koyanagi
authors.forename: Takeru
authors.initials: T
authors.lastname: Nakano
authors.forename: Tetsuji
authors.initials: T
authors.lastname: Kawabe
mesh_terms: D000162:Acoustics; D005160:Facility Design and Construction; D008962:Models, Theoretical; D009038:Motion; D013016:Sound; D014732:Vibration