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C h a p t e r 2 0 : M i c r o w a v e W a v e g u i d e s a n d A n t e n n a s 455<br />

<strong>Antenna</strong><br />

a<br />

<br />

<br />

b<br />

<br />

c<br />

Figure 20.9A <strong>Antenna</strong> radiator in capped waveguide.<br />

• Free-space velocity c<br />

• Group velocity v g<br />

• Phase velocity v p<br />

0111057 FIG 18-09A<br />

Of course, c is the velocity of propagation in unbounded free space, 3 × 10 8 m/s.<br />

The group velocity is the straight-line velocity of propagation of the wave down the<br />

centerline (z axis) of the waveguides. The value of V g is always less than c, because the<br />

actual path length taken, as the wave bounces back and forth, is longer than the straight-<br />

B<br />

/ 4<br />

a<br />

g/ 4<br />

0<br />

A<br />

a<br />

V g<br />

C<br />

Figure 20.9B Wave propagation in waveguide.

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