Author: Edmund A. Laport

Examination of a chart of pair patterns (Appendix IV-A) shows that for S = 5λ/8 and φ = 180 degrees both + and -lobes of the pattern have a very wide angle over which the field strength is constant. This leads us to use this pattern in a system requiring a wide null angle. We note further that apparently a spacing slightly less than 0.625λ would be more constant in value over a range of angles (by comparing parallelism with the reference circle). We can test the possibilities by calculating from a spacing of 216 degrees (0.60λ). Such a pair will have the pattern

from which we compute Table 2.9.

 TABLE 2.9 α or β f1( β) f2 (β) f( β) = 0.505[f1( β)+f2( β)] f2( α) = f( β) COS α 0 -0.951 0.975 0.024 0.024 10 -0.956 0.975 0.012 0.012 20 -0.978 0.975 0.009 0.009 30 -0.998 0.975 -0.0015 -0.013 40 -0.993 0.975 -0.011 -0.0084 50 -0.937 0.975 +0,187 +0.012 60 -0.809 0.975 0.083 0.042 70 -0.602 0.975 0.188 0.064 80 -0.326 0.975 0.327 0.057 90 0 0.975 0.492 0 100 +0.326 0.975 0.660 110 0.602 0.975 0,795 120 0.809 0.975 0.900 130 0.934 0.975 0.963 140 0.993 0.975 0.994 150 0.998 0.975 1.000 160 0.978 0.975 0.986 170 0.956 0.975 0.975 180 0.951 0.975 0.970

In order to cancel the negative lobe of f1(β) over its angle of constancy we added f2(β) = 0.975, corresponding to a circular source of radiation of relative strength 0.975, located at the center of the pair. The sum of the patterns from the pair and from the central radiator has been calculated and, after normalizing to a maximum relative value of 1.00, tabulated in Table 2.9. The horizontal pattern is plotted in Fig. 2.43.

Examination of these values shows that over an angle of +/-50 degrees the field strength is less than 2.5 percent of maximum. Without further calculation it appears that a blind angle of about 102 degrees is possible with this array without exceeding 2.5 percent of maximum field. Furthermore in the vertical plane f( α), using 60-degree radiators, the field does not exceed 6.4 percent of maximum at any angle, and it is below 3 percent at vertical angles up to 50 degrees. If higher radiators are used, the vertical pattern can be reduced much below these values at the higher angles.

 FIG. 2.43. Pattern for three-element array with cancellation of fields over a wide angle on one side.

The broad beam on the opposite side is constant over the same wide angle.

The normalized pattern specification is