Reconstruction of Incident Sound Field and Identification of Sound Source Using a Rigid Spherical Microphone Array

Rigid spherical microphone array is an ideal measurement front-end for three-dimensional sound field re-construction. However,as the rigid surface of the array scatters incident sound waves,the directly measured pres-sures and near-field acoustic holography approach based on the math model of free field could not be employed toreconstruct the incident sound field. In this paper,the math model of scattered sound field based on Neumannboundary condition was applied;the relationship between the total sound pressure after scattering and the incidentsound pressure was developed and analyzed. Then the incident sound field was reconstructed by using the input da-ta of measured total sound pressure with a rigid microphone array. The variation of sound pressure distribution onthe surface of rigid sphere was examined through simulations and experiments. And the reconstruction accuracy wasexamined when the reconstruction parameters,such as frequency and reconstruction radius,varied. The reconstruc-tion results show that the incident sound field can be reconstructed with certain accuracy with a rigid spherical mi-crophone array,based on spherical near-field acoustic holography with the math model of scattered sound field.