Abstract
To calculate the transmitting characteristics of a transducer array, it is often necessary to take into account the acoustic interaction effects. For an array of pistonlike transducers set on planar surfaces, the model most commonly used is to assume the pistons set in an infinite rigid plane. This is not adequate when the array is not baffled, and when its dimensions are comparable to the wavelength. A theoretical model, using the combined Helmoltz integral equation method, is developed to calculate the mutual impedance matrix, the transmitting characteristics, and farfield directivities for arbitrary antenna geometries. Some results are compared to analytical models and to experiments. It is shown that the unbaffled condition produces important effects on the directivity functions and that the acoustic interactions modify the pressure distribution on the surface of the array.
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