Abstract
Time-domain edge-diffraction calculations are often used in studies of acoustic scattering from objects with rigid, simple-shaped surfaces, e.g., in computer simulations of room acoustics, noise-barrier performance, and radiation from loudspeakers. Many methods for such calculations are based on the Biot-Tolstoy solution, an explicit, continuous-time expression for diffraction by an infinite wedge. However, this expression contains two onset singularities which make numerical computations difficult: one which is present for all source-receiver combinations, and a second which occurs only when a receiver crosses a specular-zone or shadow-zone boundary, i.e., a boundary where a geometrical-acoustics component has a discontinuity. The former singularity was eliminated by Svensson et al. using a formulation in which the diffraction impulse response is expressed as a line integral along the diffracting edge [J. Acoust. Soc. Am. 106, 2331 (1999)]. In this paper, the latter singularity is addressed with analytical approximations of the formulation developed by Svensson et al. These approximations allow for accurate numerical computations for receivers at or near zone boundaries, and maintain a continuous total sound field when combined with geometrical-acoustics components. The approximations will be presented, along with a demonstration of modeling software into which they have been integrated.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call