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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
67Fundamentals of Wave Propagation
Power input =
V
R
V
x
R
V
R
V Rl
Z
X
X
S
X
S
S
S
2
2
2 2
0
2
2
= = =sin
2
β
(2.94a)
Thus,
R
Z
Rl
x
X
=
2
0
2
2
sin β
(2.94b)
Thus input resistance varies as square of sine of angular distance from the
SC end.
2.29.2 Quarter-Wave Section as Impedance Transformer
Equation 2.81b for the particular case of a quarter-wave section, that is, for
=
λ
/4, thus
β
=
π
/2, cos
β
= 0, and sin
β
= 1, yields the relation Z Z Z
S R
=
0
2
,
which spells matching or impedance inversion, that is, if Z
R
= R + jX
L
,
Z
S
= R jX
C
. If Z
S
and Z
R
are taken to be the normalised values (z
S
= Z
S
/Z
0
andz
R
= Z
R
/Z
0
) the equation Z Z
S R
= Z
0
2
transforms to Z
S
Z
R
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Publisher Resources

ISBN: 9781466591417