Archive image from page 30 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 and normalizing R = E- sin(-y(coscc- cosa0) LnC'?I( cosB-cosE ') a-u (cosa-cosa0) fcrr T (cosB-cosBo) sinf (cos7~cos70 )) -r(cos6-cos60 ) If c-*0 in equation (14), the equation for a rectangular area is obtained, , equation (13). (14) (d) Circular Array (fig. 10) The directivity function for a circular array, obtained from the generalized directivity function,is s3 R = \ E(x, y) s-s-, expj'[x(cosa-cosa0 )+
Archive image from page 30 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 and normalizing R = E- sin(-y(coscc- cosa0) LnC'?I( cosB-cosE ') a-u (cosa-cosa0) fcrr T (cosB-cosBo) sinf (cos7~cos70 )) -r(cos6-cos60 ) If c-*0 in equation (14), the equation for a rectangular area is obtained, , equation (13). (14) (d) Circular Array (fig. 10) The directivity function for a circular array, obtained from the generalized directivity function,is s3 R = \ E(x, y) s-s-, expj'[x(cosa-cosa0 )+ (cosS-cos80) +p(x,y)(costy(x,y)-l)~] ds where s denotes arc length. P(x0, y0) (x, y) -*>y Figure 10. Source and a circular ring. 29
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