Acoustic reflection angular spectrum estimation using multi-point impulse responses and spatial Fourier transforms

Abstract

We propose a method using impulse responses measured at multiple points to evaluate the acoustic reflection of materials. This method reproduces a plane incident wave based on the Rayleigh integral and estimates its reflected angular spectrum using spatial Fourier transforms. The IRs are measured for all combinations of sources and receivers, which are both arranged in planar grid patterns. Numerical simulations with the image source method validated the approach for incident angles of 0–60 degrees. However, as the incident angle becomes almost parallel to the material surface, i.e., at grazing incidence, synthesizing wavefronts with sufficient accuracy becomes more challenging.