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Acoustic Measure of Causality Artifacts for Generating Focused Source

A focused source is used to present a physical realizable monopole, which can be made by a set of loudspeakers. If we attempt to make such sound source by using a set of loudspeakers, then the sound waves by each loudspeaker converge towards a desired focus point and diverge after having passed the point. The diverging part of the focused source is what is expected to be generated. It could mimic the sound field of a monopole sound source. This makes us possible to have a virtual sound source. However, it is inevitable to have a focused source without undesirable artifacts, because of the direct waves from secondary control sources to any listening point. They always arrive before the waves from a focused source arrive. Artifacts can trigger the “precedence effect” and lead listeners to localize virtual sound source in wrong and undesirable direction. The objective of this paper is to predict the effect of focused source with its artifacts at selected listening region. Assuming that driving function of secondary sources and array distribution are given for selected location of the focused point, the magnitude of focused source and artifacts are predicted at different listening location. A novel acoustic measure is defined for such focused source with respect to listening location in order to compare the effect of focused source and artifacts. Finally, proposed measure is used to test simple driving function which can generate focused source and analysis is given.

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