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Microwave Engineering
book

Microwave Engineering

by Ahmad Shahid Khan
May 2014
Intermediate to advanced content levelIntermediate to advanced
800 pages
24h 50m
English
CRC Press
Content preview from Microwave Engineering
451Microwave Tubes
υ
µε π
εp
p
p d
=
+{ ( ) }
2 2
(12.64)
A slow wave structure, with a large dielectric constant, is more lossy and
thus less efcient. For small pitch angle, the phase velocity along the coil in
free space is approximately given by
υ
π
ω
β
p
c p
d
=
(12.65)
12.5.8.1 Brillouin Diagram
Figure 12.31 shows the
ω
β
(or Brillouin) diagram for a helical slow wave
structure. This curve is very useful in the design of a helix. Once
β
is known,
υ
p
can be computed from Equation 12.65 for a given dimension of a helix.
The group velocity (
υ
gr
) of the wave is simply the slope of the curve and is
given by
υ ∂ω ∂ β
gr
=
/
(12.66)
A slow wave structure has the ...
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Publisher Resources

ISBN: 9781466591417