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Circular Loudspeaker Arrays with Controllable Directivity

Specific directivity patterns for circular arrays of loudspeakers can be achieved by utilizing the concept of phase modes, which expands the directivity pattern into a series of circular harmonics. This paper investigates the applicability of this concept applied on a loudspeaker array on a cylindrical baffle, with a desired directivity pattern, which is specified in the frequency interval of 500-4000 Hz. From the specified frequency independent directivity pattern filter transfer functions for each speaker are determined. The sensitivity of various parameters, related to practical implementation, is also investigated by introducing filter errors for each array element. Measurements on a small scale model using six 2” drivers are compared with simulations, showing good agreement between experimental and predicted results.

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