. Directivity function of a general receiving array for spherical and plane sound waves. Sound-waves. 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, y
. Directivity function of a general receiving array for spherical and plane sound waves. Sound-waves. 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. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Warner, K. K; U. S. Navy Electronics Laboratory (San Diego, Calif. ). San Diego, Calif. : U. S. Navy Electronics Laboratory
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