Rohde & Schwarz 1332.4500.22, Руководство пользователя

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Concepts and Features
R&S
®
ZNA
105 User Manual 1178.6462.02 ─ 12
The renormalized wave quantities (a
1
and b
1
) and the S-matrix S
1
can be calculated
from S
0
and the reference impedances Z
0i
, Z
1i
according to two alternative waveguide
circuit theories.
1. Traveling waves
In the model of Marks and Williams ("A General Waveguide Circuit Theory"), the
wave quantities a and b are transformed as follows:













 
 
 






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(
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
Measurement Results