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Inverse Wave Propagation in Wave Field Synthesis

A combined method of wave field synthesis and inverse wavefield propagation that enables the recreation of sound images in front of a loudspeaker array is presented. By use of inverse wave propagation, the sound pressure at the virtual receiving plane, which is in the backward direction of wave propagation from the actual receiving plane, can be estimated. This estimation is an analytical method based on the wave equation typically used in holography. Shifting the virtual receiving plane backward from the actual receiving plane corresponds to shifting the reconstruction plane forward from the secondary sources. As a result, this method has the advantage of being able to reproduce virtual primary sources in front of secondary sources even when the position or directivity of the primary sources is unknown; this was not possible by the conventional focused-source technique. Numerical simulation results are also presented to show the efficacy of the proposed method.

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