Advantages of the incoherent uniform theory of diffraction for acoustic calculations in open-plan offices

Sound prediction in open-plan offices is a real challenge for room acoustics models because of the large dimensions involved and because of the complexity of the interior layout. For these reasons, the geometrical theory, based on a high frequency hypothesis, is often cited as an advantageous solution. Two types of approaches are, in general, developed under this hypothesis: the phase-included approach and the energy-based or "incoherent" approach. In this paper, comparisons are presented between calculations performed using these two approaches and measurements conducted in the laboratory where workstations were separated by low dividers and placed under ceilings that were absorbent to various extents. Particular attention was paid to processing diffraction using the uniform theory of diffraction. Narrow-band comparisons between calculations and measurements show that the phase-included model is flawed at low frequencies whenever the characteristic dimensions of the elements of the room (desk, low divider, etc.) are of the same order of magnitude as the wavelength. Conversely, the incoherent formulation, which removes the part played by the interference, gives results at least as accurate, be it in octave band or overall. Boasting very short computation times, the incoherent approach opens up interesting prospects for acoustic predictions in large open-plan offices.