Modeling acoustic diffuse fields: updated sampling procedure and spatial correlation function eliminating grazing incidences

摘要

This paper addresses the elimination of grazing incidences in modeling procedures for acoustic diffuse fields. The spatial correlation function of a diffuse field is derived starting from the usual model based on an infinite set of uncorrelated plane waves. The elimination of grazing incidences is addressed in this derivation. The derived spatial correlation function appears as a generalization of the conventional sine cardinal function. An updated sampling procedure for the diffuse field is also proposed. Basically, the updated sampling procedure relies on the definition of a finite set of plane waves where incidence angles are selected in order to eliminate grazing incidences. The effect of the elimination of grazing incidences is examined on a specific acoustic transmission problem involving an elastic plate.