In order to model the behavior of environments dominated by modal resonances, it is important to find the relationship between modal decay times and boundary conditions. The paper investigates this relationship in simple systems (rectangular duct and room), with a theoretical approach validated by FEM simulations. In the rectangular room, the classification of modes in axial, tangential, and oblique categories is helpful in assessing how the impedance of walls influences decay times. The results are compared to the Sabine equation for reverberation time. Some hints for exploiting experimentally the results are given.
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