. Directivity function of a general receiving array for spherical and plane sound waves. Sound-waves. P(xo , 7/0 ). Figure 7. Source and a line array. is not difficult to evaluate. In this case (letting Eix) - constant) L/2 7? = E x=-L/2 expj/ix(cosa-cosao) dx = E sinfjL (cosa-cosa0 ) J Y (cosa-cosa0) A. If this result is normalized, and if a = 90°- fl, then sin(p~L (sinfi-sinfi0) J BN=En (12) —L (sinfl-sinfl0 ) A. This result can also be obtained if equation (8) is norma- lized and Nd-*L; then, equation (8) approaches (12). This can be shown by using L' Hopital's rule. 25. Please note that th

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. Directivity function of a general receiving array for spherical and plane sound waves. Sound-waves. P(xo , 7/0 ). Figure 7. Source and a line array. is not difficult to evaluate. In this case (letting Eix) - constant) L/2 7? = E x=-L/2 expj/ix(cosa-cosao) dx = E sinfjL (cosa-cosa0 ) J Y (cosa-cosa0) A. If this result is normalized, and if a = 90°- fl, then sin(p~L (sinfi-sinfi0) J BN=En (12) —L (sinfl-sinfl0 ) A. This result can also be obtained if equation (8) is norma- lized and Nd-*L; then, equation (8) approaches (12). This can be shown by using L' Hopital's rule. 25. 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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