Abstract
We investigate the standard acoustical problem of sound decay in a room, due to a small absorption at the walls, both in the geometrical approximation (1) and for the full wave problem (2). The classical universal Sabine's law of reverberation is shown to rely on ergodic properties of both geometrical billiard-like trajectories (1) and eigenmodes (2). A paradigm of an ergodic auditorium is used to test numerically these ideas: a two-dimensional (2-D) room with the shape of a Stadium. In both approaches, Sabine's law for the characteristic reverberation time is verified with good accuracy.
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© 1991 Springer-Verlag
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Legrand, O., Sornette, D. (1991). Quantum chaos and Sabine's law of reverberation in ergodic rooms. In: Fournier, JD., Sulem, PL. (eds) Large Scale Structures in Nonlinear Physics. Lecture Notes in Physics, vol 392. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54899-8_45
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DOI: https://doi.org/10.1007/3-540-54899-8_45
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