Radiation efficiency of a distribution of baffled pistons with arbitrary phases

Abstract

The radiation resistance and efficiency of a collection of circular pistons, randomly placed on a plane and vibrating with arbitrary phases, are expressed as a combination of the self- and mutual-radiation components. We use the first product or bridge theorem to construct the directivity pattern of this type of arrangement and the radiation properties are calculated according to Bouwkamp's impedance theorem. To illustrate the versatility of our approach, we refer to special cases for symmetric arrangements, for example, to compare with the modal radiation efficiency in structures having “regular” modal patterns.