Cavity modes of a finite bounded region with rigid boundaries can be used to compute the steady state harmonic response for point source excitation. In cuboid domains this is straightforward. In general regions, determining a set of orthonormal modes is more difficult. Previous work showed that for rooms of constant height, 3D modes can be computed from the cross section modes, and this used for a fast solution. This approach used modal damping. More realistic damping associated with wall areas could be included using a damped eigenvalue calculation of the cross section modes. This is restrictive on damping formulations. An alternative non-modal approach, using a trigonometric expansion through the height is proposed. This is still faster than 3D FEM.
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