Integral formulas for supersonic reconstruction of the acoustic field

Abstract

The supersonic acoustic intensity is a technique utilized to locate radiating sound regions on a complex vibrating structure. This technology is based on the accurate identification of the supersonic components (or stability regions) of the acoustic field. The identification of these supersonic components is well understood for separable geometries, but unfortunately, there are few results for arbitrarily shaped objects. This work proposes a methodology that efficiently identifies the supersonic components from acoustic pressure measurements. The methodology is based on the spectral decomposition of the power operator that yields a non-negative intensity expression. We will demonstrate using numerical data that the resultant non-negative intensity matches the supersonic intensity.