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Holographic Design of a Source Array for Achieving a Desired Sound Field

For realizing a desired complicated sound field, an acoustic source array should be designed appropriately to obtain the acoustic source parameters. To this end, we suggest a method utilizing the acoustical holography technique based on the inverse boundary element method. Acoustical analogy between the problems of source reconstruction and source design was the initial motivation of the study. In the design of the source array, the pressure distribution at specific field points is the constraint of the problem and the signal distribution at the source surface points is the object function of the problem. The whole procedure of the application consists of three stages: First, a condition of the desired sound field should be set as the constraint. Second, the geometry and boundary condition of the source array system and the target field, i.e., points in the sound field of concern, are modeled by the boundary elements. Actual characteristics of source and space can be considered to generate the accurate condition of the target field. Finally, the source parameters are inversely calculated by the backward projection. As an example, a source array to fulfill the plane wave propagating zone and another quiet zone near the propagation zone was designed and tested by simulation and measurement.

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