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476 P a r t V I : A n t e n n a s f o r O t h e r F r e q u e n c i e s<br />

3 dB BW<br />

Main lobe<br />

Sidelobes<br />

0<br />

Figure 20.22B Graphically presented pattern.<br />

<br />

Directivity D is a measure of the power density at the peak of the main lobe to the<br />

average power density through the entire spherical surface surrounding the antenna:<br />

or, referred to isotropic,<br />

0111057 FIG 18-23B<br />

D =<br />

P PMAX<br />

AVG<br />

(20.24)<br />

4 π<br />

D = (20.25)<br />

Φ<br />

where D = directivity<br />

P MAX = maximum power<br />

P AVG = average power<br />

F = solid angle subtended by main lobe<br />

The term F is a solid angle, which emphasizes the fact that antenna patterns must be<br />

examined in at least two extents: horizontal and vertical.<br />

A common method for specifying antenna directivity is beamwidth (BW). The definition<br />

of BW is the angular displacement between points on the main lobe (see Figs.<br />

20.22A and 20.22B) where the power density drops to one-half (–3 dB) of its maximum<br />

at the peak of the lobe. The angle between the –3 dB points is a, as shown in Fig. 20.22A.

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