Circular loudspeaker arrays allow the reproduction of 2-D sound fields due to sources outside the loudspeaker radius. Sources inside the array can be approximated by focusing sound from a subset of the loudspeakers to a point. The resulting sound field produces the required divergence of wave fronts in a half-space beyond the focus point. This paper presents two new methods for generating focused sources that produce lower errors than previous approaches. The first derives an optimum window for limiting the range of active loudspeakers by matching the field to that of a monopole inside the source radius. The second applies pressure matching to a monopole source over a region where the wavefronts are diverging.
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