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154 p a r t I I : F u n d a m e n t a l s<br />

Outer circle = 1.6 dB more<br />

than for a single dipole.<br />

Figure 5.2B Overall pattern for two-element broadside<br />

array in (A).<br />

2<br />

I 1<br />

I 1<br />

= I 2<br />

I 2<br />

Array axis<br />

r<br />

r <br />

Figure 5.2C Two-element broadside array of dipoles<br />

spaced l/2 at right angles to the array axis.<br />

r<br />

A<br />

two dipoles were far enough apart to have<br />

negligible interaction.<br />

But suppose we place one of the dipoles<br />

l/2 above the other, as depicted in<br />

Fig. 5.2C. Each dipole “sees” the other dipole<br />

differently, and their mutual impedances<br />

are different from those of Fig. 5.2A<br />

as a result. As reported in Fig. 5.2D, the<br />

overall gain of this two-element broadside<br />

array is 3.8 dB more than that of a single<br />

dipole. Clearly, if one is going to use two<br />

driven dipoles to maximize forward gain<br />

in a broadside array, the configuration of<br />

Fig. 5.2C is preferable to that of Fig. 5.2A.<br />

Note that in either case, however, the dipoles<br />

are oriented so that the direction(s) of<br />

maximum innate radiation for the basic dipole<br />

element coincides with the desired direction<br />

of maximum radiation for the array<br />

as a whole when operated in its broadside<br />

mode—that is, with in-phase currents at<br />

the feedpoints of the dipoles. Along the<br />

axis of the array (i.e., the extension of the<br />

line drawn between the two antennas of<br />

the array), then, not only is the array pattern<br />

trying to bring the radiated field<br />

strength to zero, so too is the inherent pattern<br />

of the dipoles themselves. The overall<br />

pattern of Fig. 5.2D will be of particular interest<br />

to us later when we discuss the effect<br />

of ground on a dipole’s pattern—especially<br />

when we vary the height of the dipole.<br />

Another popular form of array operation<br />

is the end-fire mode. Here the objective<br />

is to maximize radiation along the axis connecting the elements. One popular way to do<br />

this is by spacing the elements l/2 apart and feeding them 180 degrees out of phase. By<br />

the time the out-of-phase field from element A travels along the axis to element B it will<br />

have shifted another 180 degrees and be back in phase with the field from B, thus effectively<br />

doubling the radiated field along the axis, relative to a single element. For two<br />

identical radiators spaced l/2 apart and fed with out-of-phase excitations of equal amplitude,<br />

the shape of the array pattern is given by<br />

⎛ π ⎞<br />

AP = sin⎜<br />

cosθ⎟ (5.6)<br />

⎝ 2 ⎠<br />

From our earlier discussion about attempting to align the inherent pattern of the elements<br />

of the array with the main lobe of the array pattern, we conclude that horizontal

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