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Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition by Tim Mellow, Leo Beranek

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4.12. Combination of point sources

The basic principles governing the directivity patterns from loudspeakers can be learned by studying combinations of simple sources. This approach is very similar to the consideration of Huygens wavelets in optics, which will be discussed more in Section 12.1. Basically, our problem is to add, vectorially, at the desired point in space, the sound pressures arriving at that point from all the simple sources. Let us see how this method of analysis is applied.

Two point sources

The geometric situation is shown in Fig. 4.14. It is assumed that the distance r from the two point sources to the point P at which the pressure p is being measured is large compared with the separation b between the two sources.

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