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A Mathematical Theory of Linear Arrays

01 January 1943

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The norm of a complex number is the square of its absolute value. 80 A MATHEMATICAL THEORY OF LINEAR ARRAYS 81 RADIATION INTENSITY AND FIELD STRENGTH Consider a linear array of n equispaced nondirective sources (Fig. 1). Apart from the inverse distance factor, the instantaneous field strength of the array in the direction making an angle 6 with the line of sources may be expressed as follows / = Aq cos(wt + + Ai cos(ut + J/ + + A 2 cos(u)l + + t?2) (1)