Sound Field Control With Hemi-Cylindrical Loudspeaker Arrays

An acoustical model for the sound field generated by hemi-cylindrical loudspeaker arrays is presented and a method for beamforming is derived. The sound field model is obtained by introducing two independent boundary conditions for the sound field of a single impinging plane wave. The model for the radiation from a single loudspeaker in the array is then obtained from the reciprocity principle. Various beam patterns are presented and evaluated as to their dependency on frequency. The obtained theoretical results are discussed, along with a plan for future experimental work.