Convolving aperture shapes multiplies their far-field polar patterns.

Evidence

Replacing each of the point sources with a continuous line source is equivalent to convolving it with the point array. Therefore, the effect of replacing the point source with the continuous sources is to multiply their far-field patterns together. — David Howard, Jamie Angus, coustics and Psychoacoustics, 2894

Categorization

• DEFINE: States the pattern-multiplication rule — the operative mechanism behind directional-line-source array design.