Archive image from page 26 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 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)

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Archive image from page 26 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 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

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