K
2
ΓAN F
ð Þ ¼
Y
P 0L
sin FT FOS
ð
Þ
h
i 2
Y 00
P 0L
h i 2 À
Y 00
P 0L
Á 1 þ σ U
ð
Þcos FT FOS
½
þσ U
&
' 2 ,
ð6:57Þ
100
10
0.10
1
0.01
0.05
s U =-1.02;
=1.1
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(a)
1
5 1 0
1
0.500
0.010
0.100
0.050
0.005
0.05
s U =-10.2;
=3
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(c)
1
5 1 0
100
0.1
10 –4
0.05
s U =–10.2;
=1.01
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(e)
1
5 1 0
1
0.50
0.10
0.05
s U =-1.02;
=3.0
P 0L
Y 00
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(b)
5
1 0
1 5
Offset frequency
(d)
5
1 0
1 5
Offset frequency
(f)
5
1 0
1 5
s U =-10.2;
=3
P 0L
Y 00
1
0.500
0.010
0.100
0.050
0.005
s U =–10.2;
=1.01
P 0L
Y 00
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
100
0.1
10 –4
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
Fig. 6.16 Suppression coefficients of the amplitude K
2
ΓAN F
ð Þ and the phase K
2
ΓPN F
ð Þ noise
depicted by expressions (6.54) and (6.55) in OEO MZ at σ U ¼ À 1.2 and P 0L /Y 00 ¼ 1.1 (a);
σ U ¼ À 1.02 and P 0L /Y 00 ¼ 3.0 for (b); σ U ¼ À 1.02 and P 0L /Y 00 ¼ 3.0 for (c, d); σ U ¼ À 10.2 and
P 0L /Y 00 ¼ 1.01 for (e, f). On the abscissa axis the logarithmic scale (a, c, e); on the abscissa axis the
linear scale (b, d, f)
6.5 Differential Fluctuation Equations of OEO MZ
323
2
ΓAN F
ð Þ ¼
Y
P 0L
sin FT FOS
ð
Þ
h
i 2
Y 00
P 0L
h i 2 À
Y 00
P 0L
Á 1 þ σ U
ð
Þcos FT FOS
½
þσ U
&
' 2 ,
ð6:57Þ
100
10
0.10
1
0.01
0.05
s U =-1.02;
=1.1
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(a)
1
5 1 0
1
0.500
0.010
0.100
0.050
0.005
0.05
s U =-10.2;
=3
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(c)
1
5 1 0
100
0.1
10 –4
0.05
s U =–10.2;
=1.01
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(e)
1
5 1 0
1
0.50
0.10
0.05
s U =-1.02;
=3.0
P 0L
Y 00
Offset frequency
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
(b)
5
1 0
1 5
Offset frequency
(d)
5
1 0
1 5
Offset frequency
(f)
5
1 0
1 5
s U =-10.2;
=3
P 0L
Y 00
1
0.500
0.010
0.100
0.050
0.005
s U =–10.2;
=1.01
P 0L
Y 00
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
100
0.1
10 –4
K 2
ΓPN
K 2
ΓAN
K 2
ΓAN (F) , K 2
ΓPN (F)
Fig. 6.16 Suppression coefficients of the amplitude K
2
ΓAN F
ð Þ and the phase K
2
ΓPN F
ð Þ noise
depicted by expressions (6.54) and (6.55) in OEO MZ at σ U ¼ À 1.2 and P 0L /Y 00 ¼ 1.1 (a);
σ U ¼ À 1.02 and P 0L /Y 00 ¼ 3.0 for (b); σ U ¼ À 1.02 and P 0L /Y 00 ¼ 3.0 for (c, d); σ U ¼ À 10.2 and
P 0L /Y 00 ¼ 1.01 for (e, f). On the abscissa axis the logarithmic scale (a, c, e); on the abscissa axis the
linear scale (b, d, f)
6.5 Differential Fluctuation Equations of OEO MZ
323
