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Practical_Antenna_Handbook_0071639586

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C h a p t e r 1 2 : T h e Y a g i - U d a B e a m A n t e n n a 303<br />

L<br />

D<br />

Center<br />

Shorting clamp<br />

L = K<br />

F MHz<br />

Feet<br />

C<br />

Insulator<br />

L/70<br />

D/3<br />

L/10<br />

C =<br />

8 pF<br />

Meter()<br />

Figure 12.6 Gamma feed provides impedance matching.<br />

The gamma match shown in Fig. 12.6 is one popular example of a shunt-feed system<br />

that attaches the feedline in parallel across a portion of the element that remains electrically<br />

continuous across its centerline. This approach is easy to describe: We are simply<br />

connecting the transmission line at a point (or tap) on the element where the impedance<br />

of the transmission line is comparable to the impedance of the standing wave of RF<br />

energy on the driven element (or dipole). We can best understand this by visualizing<br />

each half-element as a tappable resistor that is l/4 in length. Thus, the role of the<br />

gamma match is to transform the impedance at some tap point along the element half to<br />

a resistive part that matches the Z 0 of the line and to simultaneously cancel out any<br />

leftover reactance.<br />

To repeat for emphasis and clarity: The dipole or driven element of the gammamatched<br />

Yagi is not broken in the center, as it is in the case of the simple series fed dipole.<br />

The outer conductor, or shield, of the coaxial cable is connected to the precise<br />

center point of the driven element, which is often directly grounded to the boom. The<br />

center conductor of the feedline is connected to one end of a capacitor that is in series<br />

with a component known as the gamma rod. If you are comfortable analyzing electronic<br />

circuits, one way to view the gamma rod is to think of it as link coupling to a zero-turn<br />

coil (the element). Early link coupling circuits used a moveable link to vary the “tightness”<br />

of coupling between the link and the primary resonating inductance in antenna<br />

tuners and plate tank circuits. Later antenna tuners used a fixed link but varied a capacitor<br />

in series with the link to ground—a configuration quite analogous to the gamma<br />

configuration of Fig. 12.5. Moving the shorting bar is equivalent to changing the number<br />

of turns on the link.<br />

Here is one set of “cookbook” dimensions for gamma matching a Yagi to 50-Ω line:<br />

• Distance from centerline of element to gamma rod shorting bracket: L/10<br />

• Gamma rod diameter: D/3<br />

• Spacing of gamma rod from driven element: L/70<br />

where L = length of entire driven element, roughly equal to l/2<br />

D = diameter of driven element

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