Measurement Concepts
50
Keysight
N4375D Lightwave Component Analyzer, User’s Guide
Using the above relationships, we can rewrite S
21
in terms of
the transducer responsivities R
s
and R
r
:
S
21
b
2
a
1
------
=
I
2
I
1
---------
=
R
r
P
P
R
s
--------------------------
=
R
s
R
r
=
It is convenient to express the transducer functions
logarithmically in decibels. The system power gain from a Z
0
source to a Z
0
load can be defined using the above
relationships:
a
1
2
Power incident on the E/O converter
=
Power delivered to a
S
21
2
b
2
2
a
1
2
------------
=
R
s
R
r
2
=
System power gain
=
20log
10
S
21
System gain in dB
=
20log
10
R
s
R
r
=
The responsivities R
s
and R
r
need to be related to some
value in order to have meaning as individual quantities
expressed logarithmically, just as 0 dB represents an S
21
of
unity or gain of 1.
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