Scattered Acoustic Field Above a Rectangular Cavity in a Rigid Plane Insonified by a Deterministic Field

The aim of this research project was to investigate the scattering acoustic field by a rigid cavity in a rigid plane insonified by an arbitrary deterministic incident field. The Kobayashi potential method was used in order to derive the scattered acoustic field in a modal form. A previous model was developed using the same method for an incident plane wave (Khanfir et al. in J Sound Vib 361:251, 2016). The incident spherical source was then decomposed into plane waves. The total scattered field was determined by summing all the elementary scattered fields. In this paper, we present a new technique allowing the scattered acoustic field determination without using the decomposition into plane waves technique. This new model was compared to numerical results obtained using the previous model, the boundary element modeling method and experimental results for two rectangular cavities insonified by a spherical source. A good agreement between numerical and experimental results was obtained supporting the validity of the model.