Abstract

A Monte Carlo simulation of the dispersion of sound at an architectural scale takes random samples of instantaneous pressure in advancing wavefronts and uses these to predict the wave structure a short time later. The model is presented analogously as one of imaginary particles whose tracks are a combination of a forward motion and a Gaussian scatter in three dimensions. Each particle represents a small quantity of acoustic energy and is labelled with a pair of numbers signifying amplitude and phase; media and surfaces are characterised by their impedance and complex rejection factor. The method reproduces both geometrical characteristics of sound propagation, such as specular reflection, and wave-related phenomena, such as diffraction and interference.

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