Calculation of the Directivity Index for Various Types of Radiators

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  • C. T. Molloy
    Bell Telephone Laboratories, Inc., Murray Hill, New Jersey

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<jats:p>This paper gives the derivations of the “directivity index” formulas for several types of sound radiators. The “directivity index” is defined as “the ratio of the total acoustic power output of the radiator to the acoustic power output of a point source producing the same pressure at the same point on the axis.” The utility of the directivity index concept is that it permits power calculations to be made for all radiators in the same manner as for point sources. Directivity index formulas, together with graphs covering practical cases, are given for the following types of radiators:</jats:p> <jats:p>1. General plane piston in infinite baffle,</jats:p> <jats:p>2. Circular plane pistion in infinite baffle,</jats:p> <jats:p>3. Rectangular plane piston in infinite baffle,</jats:p> <jats:p>4. Sectoral horn,</jats:p> <jats:p>5. Multicellular horn,</jats:p> <jats:p>6. Piston set in sphere.</jats:p>

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