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μ
μ
μ
μ
μ
n0 sin i  n1 sin r
  E   B
t
 H  J   D
t
 D   f
 B  0
D  0 E  P
B  0 H  M
ε
μ
ρ
2 E  n2 ( )
2
c2
E0

V
μ

c
a n12  n22
μ

 ( )  n( )

c
1
1
 0  1 (  0 )   2 (  0 ) 2  3 (  0 )3  ...
2
6



 


B  nx  ny
LB  
B
n  n  n2 E
2
 2
  2 A 3  3 A
A 
i 
 | A |2 
 Ai 2

 i  A A 
| A |2 A  TR A


2
3
z 2
2 T
6 T
0 T
T 



  n20 cA
eff
π
π
π
π
V (t )  Vbias  Vmod (t )  V Vpol  m  cos LOt  


E (t )  2 P t ff cos  Vpol  m  cos LOt    cos  0 
2



 

  
E (t )  J 0  m  cos  V pol  cos 0t   J1  m  sin  V pol  cos  (0  LO )t 
2
2
 2

 2 


  
 

 J1  m  sin  V pol  cos  (0  LO )t   J 2  m  cos  V pol  cos  (0  2LO )t 
2
2
 2 
 2



 

  
 J 2  m  cos  V pol  cos  (0  2LO )t   J 3  m  sin  V pol  cos  (0  3LO )t 
2
2
 2

 2 

  
 J 3  m  sin  V pol  cos  (0  3LO )t  ...
2
 2 
μ
μ
 f2 N
 j 2 f ( k 1)  
H RF ( f )   cos 
  Pk e
2
k

1



β



c 
1
4

μ



4  1  2  3
  L  D  



Bragg  2neff  B

n
L D
i 1
i
i
0
n
 Lie ngi
i 1
c
n

L fs
c

L n
i 1
i
r
i
g
c

μ
μ
“
”
–
μ
μ
μ
μ
μμ
μ
μμ
μ
μ
‐
‐
“
–
μ
μ
υ
υ
υ
υ
υ
υ υ
υ
υ υ


Pump Pump
Idler
ν3
Idler
ν1
ν2
ν4
Frequency
DFB
High power
EDFA
900m
HNLF
PMF
ECL
SSMF
QB
DD-MZM
BPF
0º 90º
Vector network
analyser
5
0
Relative optical power (dB)
-5
-10
-15
-20
-25
-30
-35
-40
-45
1552
1554
1556
1558
1560
1562
1564
Wavelength (nm)
1566
1568
1570
18
20
0
Normalized amplitude (dB)
-10
-20
-30
-40
-50
-60
2
4
6
8
10
12
Frequency (GHz)
14
16
-5
0
-10
-10
Normalized amplitude (dB)
Optical power (dB)
-15
-20
-25
-30
-20
-30
-40
-35
-50
-40
-45
1554
1556
1558
1560
1562
Wavelength (nm)
1564
1566
1568
-60
2
4
6
8
10
12
Frequency (GHz)
14
16
18
20
-5
-10
-15
Optical power (dB)
-20
-25
-30
-35
-40
-45
-50
1554
1556
1558
1560
1562
1564
Wavelength (nm)
0
0
-10
-10
Normalized amplitude (dB)
Normalized amplitude (dB)
-55
1552
-20
-30
-40
-50
-60
1566
1568
8
10
12
Frequency (GHz)
14
1570
-20
-30
-40
-50
2
4
6
8
10
12
Frequency (GHz)
14
16
18
20
-60
2
4
6
16
18
20
0
Normalized amplitude (dB)
-10
-20
-30
-40
-50
-60
2
4
6
8
10
12
Frequency (GHz)
14
16
18
20

( z )   max sin 
l

  4 
 max

z


l

   0  2 max   0 
π
π
π
EPM (t )  E0  J 0 (mPM )e j0t  E0  J1 (mPM )e j (0 RF )t  E0  J1 (mPM )e j (0 RF )t
μ


 ( )  n( )

1
1
 0  1 (  0 )   2 (  0 ) 2  3 (  0 )3  ...
c
2
6







2 c

2 2
2
 2 c 
S   2  3
  
D

 2
  2 A 3  3 A
A 
i 
 | A |2 
 Ai 2

 i  A A 
| A |2 A  TR A


2
3
z 2
2 T
6 T
0 T
T 





n20
cAeff
LD 
L 'D 
LNL 
T0 2
| 2 |
T03
| 3 |
1
 P0






μ
μ


out
ESOA
(t )  I SOA1 (1   XGM ·exp(t /  rec )) exp j SOA1   XPM ·exp(t /  rec )
1
out
SOA2
E


(t )  I SOA2 exp jSOA2 exp  j 





π




μ
τ
f rep 
 ODL
DT

υ
 
 
 system
DT
TBP DT
 system
τ
τ
τ
τ
τ
τ
μ
μ



   DCF 2 3 DCF 3  DCF 
S DCF ( )  S fs FL ( ) exp   j  2
 
 L 
6

  2

ω
ω


 j

Sout ( )  S fs FL (  LO )  exp   3 2 DCF   3 DCF  LO  LDCF  LO 2 
6

 

1

 exp   j   2 DCF  3 DCF LO  LDCF LO 
2

 

 j

 exp     2 DCF LDCF   2 SSMF LSSMF  3 DCF LDCF LO   2 
 2

 j

 exp    3 DCF LDCF   3 SSMF LSSMF   3 
 6


ω
ω
1

2  DCF
    2 DCF LO  3 DCF LO
L
2



π





 
 
 
 







β
β
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