| A frequency-dependent model for levels and decay rates of reverberant energy in systems of coupled rooms is developed and compared with measurements conducted in a 1:10 scale model and in Bass Hall, Fort Worth, TX. Schroeder frequencies of subrooms, fSch, characteristic size of coupling apertures, a, relative to wavelength λ, and characteristic size of room surfaces, l, relative to λ define the frequency regions.; At high frequencies [HF (f >> f Sch, a >> λ, l >> λ)], this work improves upon prior statistical-acoustics (SA) coupled-ODE models by incorporating geometrical-acoustics (GA) corrections for the model of decay within subrooms and the model of energy transfer between subrooms. Previous researchers developed prediction algorithms based on computational GA. Comparisons of predictions derived from beam-axis tracing with scale-model measurements indicate that systematic errors for coupled rooms result from earlier tail-correction procedures that assume constant quadratic growth of reflection density. A new algorithm is developed that uses ray tracing rather than tail correction in the late part and is shown to correct this error.; At midfrequencies [MF (f >> f Sch, a ∼ λ)], HF models are modified to account for wave effects at coupling apertures by including analytically or heuristically derived power transmission coefficients τ. This work improves upon prior SA models of this type by developing more accurate estimates of random-incidence τ. While the accuracy of the MF models is difficult to verify, scale-model measurements evidence the expected behavior. The Biot-Tolstoy-Medwin-Svensson (BTMS) time-domain edge-diffraction model is newly adapted to study transmission through apertures. Multiple-order BTMS scattering is theoretically and experimentally shown to be inaccurate due to the neglect of slope diffraction.; At low frequencies (f ∼ f Sch), scale-model measurements have been qualitatively explained by application of previously developed perturbation models. Measurements newly confirm that coupling strength between three-dimensional rooms is related to unperturbed pressure distribution on the coupling surface.; In Bass Hall, measurements are conducted to determine the acoustical effects of the coupled stage house on stage and in the audience area. The high-frequency predictions of statistical- and geometrical-acoustics models agree well with measured results. Predictions of the transmission coefficients of the coupling apertures agree, at least qualitatively, with the observed behavior. |
