Concepts and Features
R&S
®
ZNC
57
User Manual 1173.9557.02 ─ 13
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
b
a
Z
Z
Z
Z
Z
Z
Z
Z
Z
Z
Z
Z
Z
b
a
0
0
1
0
1
0
1
0
1
0
0
1
1
0
0
1
1
)
Re(
)
Re(
2
1
The renormalized S-matrix S1 is calculated as
P
S
E
S
P
S
1
0
0
1
1
with the unit matrix E and two additional matrices with the elements
i
i
i
i
ii
Z
Z
Z
Z
0
1
0
1
)
Re(
)
Re(
2
1
0
0
1
1
0
0
i
i
i
i
i
i
i
ii
Z
Z
Z
Z
Z
Z
Z
P
2.
Power waves
In the model of Kurokawa ("Power Waves and the Scattering Matrix"), the wave
quantities a and b are transformed as follows:
i
i
i
i
i
i
i
i
i
i
i
i
i
i
b
a
Z
Z
Z
Z
Z
Z
Z
Z
Z
Z
b
a
0
0
1
0
1
0
1
0
1
0
1
0
1
1
)
Re(
)
Re(
2
1
The renormalized S-matrix S1 is calculated as
A
S
E
S
A
S
1
0
0
1
1
with the unit matrix E and two additional matrices with the elements
i
i
i
i
ii
Z
Z
Z
Z
0
1
0
1
ii
ii
ii
ii
ii
A
1
1
1
3.3.6 Stability Factors
The stability factors K, μ1 and μ2 are real functions of the (complex) S-parameters,
defined as follows:
|
|
2
|
|
|
|
|
|
1
:
21
12
2
21
12
22
11
2
22
2
11
S
S
S
S
S
S
S
S
K
Measurement Results