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310 P a r t I V : D i r e c t i o n a l H i g h - F r e q u e n c y A n t e n n a A r r a y s<br />

patterns obtained with cocoaNEC, antenna modeling software for the Mac written by<br />

Kok Chen, W7AY. In the two halves of Fig. 12.10, the dotted line in 12.10A is for a threeelement<br />

HF yagi l/2 above ground, and the solid line in 12.10A is for the same antenna<br />

spaced l/2 higher, i.e., at one wavelength above ground. These plots correspond to<br />

feeding only the lower Yagi or only the upper Yagi of a two-Yagi stack, respectively. In<br />

Fig. 12.10B the dotted line corresponds to feeding power to the two antennas equally<br />

and in phase, while the solid line shows the pattern that results when the same power<br />

is fed to the two beams out of phase. Figure 12.11 is identical to Fig. 12.10 except that the<br />

antenna heights and spacing have been doubled in Fig. 12.11: The lower Yagi is now l<br />

above ground and the upper Yagi is l above the lower one, or 2l above ground. Taken<br />

together, the heights of Figs. 12.10B and 12.11B show what to expect at the high- and<br />

low-frequency extremes (14 and 28 MHz) when stacking triband (or five-band) Yagis on<br />

a 70-ft tower. Perfect ground is assumed in the plots that follow.<br />

Note that the maximum gain for the upper Yagi of Fig. 12.10A is 11.85 dBd, occurring<br />

at an elevation angle of about 14 degrees. In other words, the upper Yagi has a peak<br />

gain that is about 6 dB greater than that of a l/2 dipole mounted at the same height<br />

above ground. The lower Yagi has a peak gain that is about 1 dB less, and it occurs at a<br />

higher elevation angle—about 24 degrees. (In other words, as we discussed in Chap. 5,<br />

Upper @ <br />

Lower @ /2<br />

Figure 12.10A Patterns for individual<br />

Upper @ <br />

three-element Yagi antennas at l/2 and l.<br />

Lower @ /2<br />

Beams out of phase (BOP)<br />

Beams in phase (BIP)<br />

Figure 12.10B Patterns for stacked threeelement<br />

Yagi antennas fed in phase (BIP)<br />

Beams out of phase (BOP)<br />

and out Beams of phase in phase (BOP) at (BIP) l/2 and l.<br />

Upper @ 2<br />

Lower @ <br />

Upper @ 2<br />

Lower @ <br />

Figure 12.11A Patterns for individual<br />

three-element Yagi antennas at l and 2l.<br />

Beams out of phase (BOP)<br />

Beams in phase (BIP)<br />

Beams out of phase (BOP)<br />

Beams in phase (BIP)<br />

Figure 12.11B Patterns for stacked threeelement<br />

Yagi antennas fed in phase (BIP)<br />

and out of phase (BOP) at l and 2l.

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