Archive image from page 20 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 (c) Rectangular Grid (Uncompensated) Let Nx = 2m be the number of elements in the x~direction, and Ns = In be the number in the y- direction. Let the separation of any two consecutive elements be dr and d2 in the x~direc- tion and y-direction, respectively (fig. 5). P(xo , Do , Zo ) (jc., yt) Figure 5. Source and elements of a rectangular array. Then the coordinates of the ith element will be (i ± 1/2) d1: (

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Archive image from page 20 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 (c) Rectangular Grid (Uncompensated) Let Nx = 2m be the number of elements in the x~direction, and Ns = In be the number in the y- direction. Let the separation of any two consecutive elements be dr and d2 in the x~direc- tion and y-direction, respectively (fig. 5). P(xo , Do , Zo ) (jc., yt) Figure 5. Source and elements of a rectangular array. Then the coordinates of the ith element will be (i ± 1/2) d1: (l ± l/2)d3, ±1/2 depending on whether i is negative or positive, respectively . Then the uncompensated equation corresponding to equation (3) becomes +Nj +N3 2 ~T R = y y E. lexpjkl(i±l'/2)d1cosa+U±l/2)d3cosQ v 2 l2 + p . .(cost. .-1)1 h 3 'U 0 3 'is 19

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