Wave Field Synthesis of Virtual Sound Sources with Axisymmetric Radiation Pattern Using a Planar Loudspeaker Array
Résumé
A number of methods have been proposed for the application of Wave Field Synthesis to the reproduction of sound fields generated by point sources that exhibit a directional radiation pattern. However, a straightforward implementation of these solutions involves a large number of real-time operations that may lead to very high computational load. This paper proposes a simplified method to synthesize virtual sources with axisymmetric radiation patterns using a planar loudspeaker array. The proposed simplification relies on the symmetry of the virtual source radiation pattern and on the far-field approximation, although also a nearfield formula is derived. The mathematical derivation of the method is presented and numerical simulations validate the theoretical results.