. Directivity function of a general receiving array for spherical and plane sound waves. Sound-waves. Figure 11. Source and a circular disk. Let the disk have radius a; then a 2TT I E(x, y) r=0 0 = 0 expjfe[r{cos0( ) + sin0(cosP-cosBo )}+p(r, 0)(cosi|i(r,jzO- 1)] rdrdft Let D^m, and £"(x, j/) = 1, then a 2TT 7? = Iexpj'?i;r[cos0(cosa-cosao )+sin0(cos3-cosPo )] The integral becomes rdrc R = 2tt rJo r^rA/(cosa-cosao )2+(cos|3-cos3o )s jdr o Applying the identity xJo (x)dx = xJ\ (jf)* ^Reference 1, page 119 34. Please note that these images are extracted from scanned page images t

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. Directivity function of a general receiving array for spherical and plane sound waves. Sound-waves. Figure 11. Source and a circular disk. Let the disk have radius a; then a 2TT I E(x, y) r=0 0 = 0 expjfe[r{cos0( ) + sin0(cosP-cosBo )}+p(r, 0)(cosi|i(r,jzO- 1)] rdrdft Let D^m, and £"(x, j/) = 1, then a 2TT 7? = Iexpj'?i;r[cos0(cosa-cosao )+sin0(cos3-cosPo )] The integral becomes rdrc R = 2tt rJo r^rA/(cosa-cosao )2+(cos|3-cos3o )s jdr o Applying the identity xJo (x)dx = xJ\ (jf)* ^Reference 1, page 119 34. 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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