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Calculating the Directivity Factor of Transducers from Limited Polar Diagram Information

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The calculation of the directivity factor y of loudspeakers and microphones (including gun microphones) from polar diagrams measured in two planes only is described. Tables of -weights- for measurements taken at intervals of 10°, 15°, 20°, 22 1/2°, 30°, and 45° are given. Some of the theory is also outlined which uses numerical integration on the surface of the sphere using a product Fejér/Clenshaw-Curtis rule. Rule-of-thumb estimates are given for the maximum directivity factors that can be estimated by this procedure for various intervals.

JAES Volume 23 Issue 5 pp. 369-373; June 1975
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AES - Audio Engineering Society