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462 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 />

Z<br />

Impedance<br />

N<br />

Intrinsic impedance<br />

of dielectric<br />

F c<br />

Figure 20.10 Impedance versus frequency.<br />

Frequency<br />

F<br />

The propagation constant b for rectangular waveguide is a function of both cutoff<br />

frequency and operating frequency:<br />

⎛<br />

β = ω µε 1 –<br />

0111057 FIG 18-10 ⎝<br />

⎜<br />

f ⎞<br />

c<br />

f ⎠<br />

⎟<br />

2<br />

(20.16)<br />

from which we can express the TE-mode impedance:<br />

Z<br />

TE<br />

=<br />

1<br />

µε<br />

⎛ f ⎞<br />

⎜ ⎟<br />

⎝ f ⎠<br />

–<br />

c<br />

2<br />

(20.17)

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