Microwave Engineering CHO, Yong Heui
Graphical method
Essential diagram for microwave engineering
P. Smith in 1939
i r
L L
L
L L
L L
L j
j z z
z
Z jX R
Z jx Z
r
Z Z
Z Z
e
1 or 1
1 1 z
: impedance load
Normalized
1
|
| where
|
|
0 0
L
0 0
2 2
2 2
2 2
L
) 1
( 2
) 1
( 1
1 z 1
i r
i i
r
i r
i r
i r
x r
j jx j
r
2 2 2
2 2
2 1 1
1
1 , 1
1
r r x x
r
i r
i r
Circle equations
1 1 1
2 2
2
r r
r
i
r
1
2 1 2 1 2
r i x x
z j z
j
z j z
j
s s in
in
z j z
j s
z j z
j o
s
e e
e e
I Z
V Z
z Z
e Z e
I V e
e V V
0 0
0
0 ( )
and ) (
) 2 (
) 2 ( 2
2
|
| 1
|
| 1 1
1 At
l j
l j
l j
l j
in e
e e
z e
l z
) 5 . 0 (
chart the
around lap
one
chart.
Smith on the
2
of angle Clockwise
2
l l
l e j l
) 2
(
) 2
( 2
2
1 1 1
1
1
l j
l j l
j l j L L
e e e
e y z
Measurement equipment
Reflection coefficients with frequency sweep
83
0.62,
|
|
A Point 1
5 . 0
1 5
. 0
line -
50 a on 50 25
x r
j z
j Z
L
