generation conditions in the steady-state mode: U 10MZ ¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi
4S 01 =3S 03
p
Á
1 À
1
S 01 P 0L ÁR PD K FODL
j
j
1=2
, where |K FODL | is the module of the RF FODL transfer
function R PD |K FODL | ¼ 1/Y 00 .
Since in the general formula (6.52) for PSD of the phase noise, the value of the
laser quadratic component S μIm depends on U
2
0MZ (or on the power of RF oscillations
P OEO ¼ U
2
0MZ = 2R MZ
ð
Þ , where R MZ is the input resistance of MZ): S μIm ¼
4S βFM D FM ÁU
2
0MZ
ωÀω 0
ð
Þ
2 T
2
0L ÁP 0L
, we can present: U
2
10MZ ¼ 2R PD
ð
ÞP OEO ¼ 2R PD
ð
ÞP G ¼
4S 01
3S 03
Á
1 À
Y 00
S 01 P 0L
. Then, the complete expression for PSD of the phase noise in OEO
MZ (6.52) can be written taking into account:
S ΨOEO ¼
S μIm
F
2 T
2
0L
16D PN S 01
3S 03
K
2
ΓPN
1
P 0L
1 À
Y 00
S 01 P 0L
:
ð6:59Þ
We note that the oscillation power of OEO MZ P OEO versus P 0L is determined as:
P OEO ¼ P G ¼
2S 01
3R PD S 03
Á 1 À
Y 00
S 01 P 0L
:
ð6:60Þ
Finally, taking into consideration Eq. (6.59), we can write for S ΨOEO :
S ΨOEO ¼ K
2
ΓPN
8D PN S μIm
F
2 T
2
0L
P OEO
P 0L
:
ð6:61Þ
10 5
0.001
10
0.05
s U = 1.02
s U =0.05
=1.01
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN (F)
1
5 1 0
Fig. 6.18 Suppression
coefficient of the phase
noise in OEO MZ at P 0L /
Y 00 ¼ 1.01 for σ U ¼ 1.02
and σ U ¼ 0.05
6.5 Differential Fluctuation Equations of OEO MZ
325
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi
4S 01 =3S 03
p
Á
1 À
1
S 01 P 0L ÁR PD K FODL
j
j
1=2
, where |K FODL | is the module of the RF FODL transfer
function R PD |K FODL | ¼ 1/Y 00 .
Since in the general formula (6.52) for PSD of the phase noise, the value of the
laser quadratic component S μIm depends on U
2
0MZ (or on the power of RF oscillations
P OEO ¼ U
2
0MZ = 2R MZ
ð
Þ , where R MZ is the input resistance of MZ): S μIm ¼
4S βFM D FM ÁU
2
0MZ
ωÀω 0
ð
Þ
2 T
2
0L ÁP 0L
, we can present: U
2
10MZ ¼ 2R PD
ð
ÞP OEO ¼ 2R PD
ð
ÞP G ¼
4S 01
3S 03
Á
1 À
Y 00
S 01 P 0L
. Then, the complete expression for PSD of the phase noise in OEO
MZ (6.52) can be written taking into account:
S ΨOEO ¼
S μIm
F
2 T
2
0L
16D PN S 01
3S 03
K
2
ΓPN
1
P 0L
1 À
Y 00
S 01 P 0L
:
ð6:59Þ
We note that the oscillation power of OEO MZ P OEO versus P 0L is determined as:
P OEO ¼ P G ¼
2S 01
3R PD S 03
Á 1 À
Y 00
S 01 P 0L
:
ð6:60Þ
Finally, taking into consideration Eq. (6.59), we can write for S ΨOEO :
S ΨOEO ¼ K
2
ΓPN
8D PN S μIm
F
2 T
2
0L
P OEO
P 0L
:
ð6:61Þ
10 5
0.001
10
0.05
s U = 1.02
s U =0.05
=1.01
P 0L
Y 00
0.10
0.50
Offset frequency
K 2
ΓPN (F)
1
5 1 0
Fig. 6.18 Suppression
coefficient of the phase
noise in OEO MZ at P 0L /
Y 00 ¼ 1.01 for σ U ¼ 1.02
and σ U ¼ 0.05
6.5 Differential Fluctuation Equations of OEO MZ
325