PSY-201 User Guide
GP-UM-PSY-201-11
Page 73 of 105
Appendix 6.0 PolaView data display/analysis program
The PolaView data analysis and display software provides real-time graphic display of
polarization state either on a Poincaré Sphere window for viewing SOP traces or on an oscilloscope
window for tracking polarization changes over time.
Measurable polarization parameters are defined as follows:
SOP: State of polarization of light, expressed in normalized Stokes parameters S
0
, s
1
, s
2
,
and s
3
.
The Stokes parameters are related to the electric field by
2
0
2
0
0
y
x
E
E
S
+
=
2
0
2
0
1
y
x
E
E
S
−
=
δ
cos
2
0
0
2
y
x
E
E
S
=
δ
sin
2
0
0
3
y
x
E
E
S
=
where
δ
is the relative phase between the two orthogonal electric field components.
They are calculated from measured values by
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
=
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
=
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
3
2
1
0
33
32
31
30
23
22
21
20
13
12
11
10
03
02
01
00
3
2
1
0
3
2
1
0
,
,
,
,
,
,
,
,
,
,
,
,
V
V
V
V
m
m
m
m
m
m
m
m
m
m
m
m
m
m
m
m
V
V
V
V
M
S
S
S
S
where V
0
~ V
3
are analog output voltages from the polarimeter, M is a calibration
matrix, and S
0
~ S
3
are the Stokes parameters corresponding to V
0
~ V
3
.
The PSY-201 provides normalized Stokes parameters defined as follows:
S
0
is the measured power.
)
(
1
1
S
norm
S
s
=
)
(
2
2
S
norm
S
s
=
)
(
3
3
S
norm
S
s
=
where
( ) ( ) ( )
2
3
2
2
2
1
)
(
S
S
S
S
norm
+
+
=