Archive image from page 27 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 (b) Rectangular Area Applying equation (6) to the rectangle (fig. 8) a/2 6/2 7? E(x, y) _-g _-b x 2 V~ 2 expj[x(cosa-cosa0 )+z/(cos6-cosR0) +p(x, y)(costy(x, i/)- 1 )1 dxdy P(x0 , Vo , Zo ) Figure 8. Source and a rectangular array. Again, evaluation of the above double integral does not give a closed form solution. However if D-*, and if E(x, y) ~ constant a/2 6/2, B = E = 12. -lA x 2 V 2 expj7i;[x(cosa-cosa

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Archive image from page 27 of Directivity function of a general Directivity function of a general receiving array for spherical and plane sound waves directivityfunct00warn Year: 1961 (b) Rectangular Area Applying equation (6) to the rectangle (fig. 8) a/2 6/2 7? E(x, y) _-g _-b x 2 V~ 2 expj[x(cosa-cosa0 )+z/(cos6-cosR0) +p(x, y)(costy(x, i/)- 1 )1 dxdy P(x0 , Vo , Zo ) Figure 8. Source and a rectangular array. Again, evaluation of the above double integral does not give a closed form solution. However if D-*, and if E(x, y) ~ constant a/2 6/2, B = E = 12. -lA x 2 V 2 expj7i;[x(cosa-cosao )+z/(cos6-cos60 )] dxdy 26

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