Acoustic control by wave field synthesis

TLDR: In this article, the authors proposed a wave front synthesis method based on the Kirchhoff-Helmholtz integral (KHE) integral, where the wave fields of the sound sources on stage are measured by directive microphones; next they are extrapolated away from the stage, and finally they are re-emitted in the hall by one or more loudspeaker arrays.

Abstract: The acoustics in auditoria are determined by the properties of both the direct sound and the later arriving reflections. If electroacoustic means are used to repair disturbing deficiencies in the acoustics, one has to cope with unfavorable side effects such as localization problems and artificial impressions of the reverberant field (electronic flavor). To avoid those side effects, the concept of electroacoustic wave front synthesis is introduced. The underlying theory is based on the Kirchhoff–Helmholtz integral. In this new concept the wave fields of the sound sources on stage are measured by directive microphones; next they are electronically extrapolated away from the stage, and finally they are re‐emitted in the hall by one or more loudspeaker arrays. The proposed system aims at emitting wave fronts that are as close as possible to the real wave fields. Theoretically, there need not be any differences between the electronically generated wave fields and the real wave fields. By using the image source concept, reflections can be generated in the same way as direct sound.