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SMR 1826 - 9
Preparatory School to the
Winter College on Fibre Optics, Fibre Lasers and Sensors
5 - 9 February 2007
Fiber-Optic Communications
Hugo L. Fragnito
Optics and Photonics Research Center UNICAMP-IFGW
Brazil
1
Hugo L. Fragnito
Optics and Photonics Research Center
UNICAMP-IFGW
Tel. (xx55-19) 3521-5430
FiberFiber--Optic CommunicationsOptic Communications
2
FiberFiber--Optic SystemsOptic Systems
Basics on Optical Communication Systems
Systems with Optical amplifiers
DWDWM systems
System’s components
System performance
333 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
TopicsTopics
• Basic system concepts
• Some system components
• System performance
• WDM Systems
4
System conceptsSystem concepts
Elements of transmission systems
Multiplexing
Modulation Formats
Digital Modulation Keying
TDM standards
Optically amplified systems
WDM systems
555 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Elements of a Communication SystemElements of a Communication System
Tx
Transmitter
Transmission LineRx
Receiver
Input Output
Laser +
modulator
Optical fiberPhotodiode +
Filter + clock
recovery + ...
666 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
MultiplexingMultiplexing
Multiplexer
Channel 1
Channel N
Voice, video, or data channels
Demultiplexer
Channel 1
Channel N
MUX DEMUX
Tx Rx
Multiplexing can be in time domain (TDM), frequency domain (FDM),
Polarization (PDM), Wavelength (WDM), ...
TDM = Time Division Multiplexing,
FDM = Frequency Division Multiplexing, …
777 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Digital Modulation FormatsDigital Modulation Formats
1 0 1 0 1 1 01 0 0 1
time(bit slot)T = 1/B
NRZ
RZ
Non-Return to Zero
Return to Zero
Binary Word
B/2
B
Better for clock recovery
888 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Spectrum of NRZ pulsesSpectrum of NRZ pulses
NRZ pulses, 400 ps (2.5 Gb/s)
Linear scale
Frequency, GHz
Sp
ectr
al p
ow
er
den
sit
y
0.0
0.2
0.4
0.6
0.8
1.0
-10 0 105-5
10-14
10-12
10-10
10-8
10-6
10-4
Frequency, GHz-20 -10 0 10 20
Log scale
No Fourier component at f = B (2.5 GHz)
999 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Digital Modulation KeyingDigital Modulation Keying
ASK - Amplitude Shifting Keying:
A(t) = 0 or 1
PSK - Phase Shifting Keying:
(t) = or
FSK - Frequency Shifting Keying:
(t) = or
Optical field:
1 0 1 0 1 0 Electrical binary data
Optical modulated signal
E(t) = A(t) cos[ (t)t + (t)]
101010 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
TDM StandardsTDM Standards
SONET - Synchronous Optical Network
SDH - Synchronous Digital Hierarchy
OC = Optical Carrier
STM = Synchronous Transport Mode
SONET SDH B(Mb/s) Channels
OC-1 51.48 672
OC-3 STM-1 155.52 2,016
OC-12 STM-4 622.08 8,064
OC-48 STM-16 2,488.32 32,256
OC-192 STM-64 9,953.28 129,024
11
AttenuationAttenuation
Absorption
Scattering
Bending
121212 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Decibel unitsDecibel units
System
Input power Output power
Pin Pout
System Transmission: T = Pout/Pin
TdB = 10 log(Pout/Pin)-10 dB means Pout = Pin /10
-3 dB means Pout = Pin /2
-40 dB means Pout = 10-4 Pin
dBm: Power in dB relative to 1 mW
PdBm = 10 log (P/mW)-10 dBm means P = 0.1 mW
3 dBm means P = 2 mW
40 dBm means P = 10 W
TdB = Pout - Pin (Pin and Pout in dBm)
131313 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
AttenuationAttenuation
Lo
ss,
(dB
/km
)
Wavelength, (µm)
Optical Power at a distance L: P L PL( ) ( ) /0 10 10
Loss coefficient: (dB/km)
0.1
0.2
0.4
0.8
1.0
0.8 1.0 1.2 1.4 1.6 1.8
2
4
UV absorption tail
Rayleigh
scattering
= C/ 4
OH overtones
1st window
820 nm
2nd
1.3 µm
3rd
1.55 µm
IR absorption
P L P LdBm dBm( ) ( )0
141414 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Attenuation of MultiAttenuation of Multi--Mode (MM) and Mode (MM) and
Single Mode (SM) fibersSingle Mode (SM) fibers
Multimode (MM) fibers attenuate more than single mode (SM) fibers
Light in higher order modes travels longer optical paths
0.8 1.0 1.2 1.4 1.6 1.80.1
0.2
0.4
1
2
4
Multimode fibers
Single mode fibers
Wavelength, µm
Lo
ss
, d
B/k
m
Lower order mode
Higher order mode
151515 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
MacrobendingMacrobending lossloss
Shedding of power by the effect of bending
Power
Loss
In multimode fibers bending causes mode coupling.
Higher order modes are scattered out of fiber.
In single mode fibers, bending losses are
appreciable for curvature radii < 1 cm.
Frustrated TIR
161616 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
MicrobendingMicrobending lossloss
Scattering loss caused by rugosity of fiber
Small axial distortions along the fiber axis
Causes mode mixing and/or loss of optical power
Can be induced by fiber jacketing, cabling, or environment
Power Loss
DispersionDispersionIntermodal dispersion
Multimode fibers
Intramodal dispersion
Multimode and singlemode
Dispersion parameterDispersion parameter
Received pulsesInput pulses
(different wavelength)
time
Single mode fiber,
length L
++
DL
1Dispersion parameter [ps/nm/km]
Measurement of Group Velocity Dispersion (GVD):
time
Standard SM fibers at 1550 nm: D = 17 (ps/nm)/km
Group Velocity Dispersion (GVD)Group Velocity Dispersion (GVD)
Dispersion relation - Taylor series expansion
1: gives group delay
( ) ( ) ( ) ( )!0 1 0
12 2 0
2 13 3 0
3
2: GVD (Group Velocity dispersion)
Dcd
nd
c 22
2
0
2
2
2
3
02
3: Third order dispersion coefficient
4: Fourth order dispersion coefficient
…..0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8
0.63
0.64
0.65
0.66
0.67
0.68
0.69\\hugo\cursos\F641\dispers.org 18-apr-95
10 fs pulse spectrum
Gro
up v
elo
city, v g
()/c
Wavelength, (µm)
0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.81.43
1.44
1.45
1.46
1.47
1.48
1.49Synthetic fused silica
(µm)
Refra
ctiv
e in
de
x,n(
)
1group /1gvv
Modes propagate as exp(-i z). is the propagation constant
Modal DispersionModal Dispersion
time
1 1 0 1 0 1 1 1 10
Transmitted Byte
time
1 1 0 1 0 1 1 1 10
Received Byte
Input pulse Output pulse
timetime
MM fiber - step index
Dispersion limits the transmission capacity of fiber
Capacity of MM-step-index fibers 20 Mb/s km
Dispersion in step index MM fibersDispersion in step index MM fibers
Normalized frequency, V
No
rmalized
pro
pag
ati
on
co
nsta
nt,
b
2
2
2
1
2
2
2
0 )/(
nn
nkb
33
5281
0471
2342
13
6132
51
03
22
4112
31
0221
01
11
0.2
0.4
0.6
0.8
1.0
2 4 6 8 10 120
Cutoff: V = 2.405
Normalized Propagation Constant
Relation between the propagation
constant and frequency is called the
Dispersion Relation:
At a given frequency, optical field is a
superposition of modes, each one with a
different propagation constant
Sin
gle
mo
de
re
gio
n2
2
2
10 nnakV
[k c0 2/ / ]
Normalized frequency
Dispersion in graded index MM fibersDispersion in graded index MM fibers
Input pulse Output pulse
timetime
Graded Index MM fiber
Capacity of MM- graded index fibers 2 Gb/s km
1 2
• Mode 1 travels a longer physical path than mode 2, but through
regions of lower index;
• The optical path is approximately the same for both modes.
physical path = dz
optical path = ndz
Dispersion in single mode fibersDispersion in single mode fibers
Chromatic dispersion: group
velocity depends on frequency
Material dispersion:
refractive indices depend
on frequency
Waveguide dispersion:
boundary conditions
depend on frequency
Frequency, V
Pro
pag
ati
on
co
nsta
nt,
b
0.2
0.4
0.6
2.00
Normalized propagation constant
for single mode step index fiber
1.5
Material dispersionMaterial dispersion
Refractive indexFIR IR VIS UV
0
1
n( )
Frequency,
( ) ( ) /n c
Vibrational bands
Electronic transitions
Rotational bands
(gases & liquids)
GVD in silicaGVD in silica
0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8
-1000
-800
-600
-400
-200
0
Anomalous GVD
region
Normal GVD
region
Gro
up
ve
locity d
ispe
rsio
n, D
(ps/n
m/k
m)
Wavelength, (µm)
Synthetic fused silica
Optical fibers for communications are made of silica
Transparent materials exhibit a particular 0 where D( 0) = 0.
In pure silica, 0 = 1.27 µm (Zero Dispersion Wavelength).
Chromatic dispersionChromatic dispersion
D = DM + DW
Group velocity (vg) depends on
2
2
2
21
d
dc
vd
dD
g
Dispersion parameter:
DM (Material Dispersion):
n1 and n2 depend on
DW (Waveguide Dispersion):
vg depends on waveguide geometry
D (total)
DM
DW
0
0
D(p
s/nm
/km
)
-20
20
1.2 1.4 1.6
Zero dispersion wavelength
(another name for GVD)
Dispersion Shifted FibersDispersion Shifted Fibers
Zero dispersion wavelength ( 0):
Standard fiber: 0 = 1310 nm
Dispersion Shifted Fiber: 0 = 1550 nm
Dispersion slope:
Dispersion Shifted Fiber (DSF)-10
0
20
D(p
s/n
m/k
m)
1.3 1.4 1.5
Wavelength, (µm)
Standard Fiber (SMF)
10
S=
0.09 p
s/nm
2 /km
S = 0.075 ps/
nm2/km
n1
n2
n1
n2
Standard Fiber (SMF)
Index profile
SdD
d
Dispersion Shifted Fiber (DSF)
Fibers for Telecom Fibers for Telecom –– ReviewReview
Multimode fibersUsed in local area networks (LANs)
Capacity limited by intermodal dispersion:
20 Mb/sxkm (step index)
2 Gb/sxkm (graded index)
Single Mode FibersUsed for long distance
25 THz bandwidth in 1.55 µm window
Capacity limited by chromatic dispersion
Dispersion (D) can be positive, negative or zero
D = 0 @ 1.3 µm in standard silica fibers
Waveguide dispersion can be adjusted by index profile
Dispersion shifted fiber (DSF): D = 0 @ 1.55 µm
DSF: combines D = 0 and minimum loss
… so, is DSF the ideal fiber??
Optical nonlinearities are very large in DSF - See next lectures
29
Some system componentsSome system components
Fiber Couplers
Fiber Connectors
Fiber Cables
Fiber pigtailed devices
Lasers
Detectors
Modulators
Integrated optics: Mux
Amplifiers
303030 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Optical CouplersOptical Couplers
Mode coupling
through evanescent
field
3
4
Input 1
Planar waveguide device
Fiber device
Fuse and stretch
fibers
313131 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Fiber connectorsFiber connectors
• Various Types
• FC/PC, SC, LC, SMA, ST
• Polishing quality
• SPC (Super), UPC (Ultra)
PC = Physical Contact
Insertion loss 0.2 dB
Back reflection –20 dB
APC = Angled Physical Contact
Insertion loss 0.2 dB
Back reflection –40 dB8°
Fiber
Alumina ferrule
323232 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Optical cables for the labOptical cables for the lab
Simplex
2mm
Duplex
Duplex connectors
DSC
ESCON
Patch cords
333333 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
CablesCables
343434 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
CollimatorCollimator
Fiber pigtail Grin lens Collimated light
Miniature bulk optics (polarizer, isolator, filter, …anything)
353535 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
MEMSMEMS
• Micro-Electro-Mechanical Systems
– Optical Switching
– Optical Cross Connect (OXC)
E. Kruglick, WDM, March 2001
363636 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
MEMS (2)MEMS (2)
• Polarization RotatorsChuan Pu, Tellium, February 2001
• Variable reflectivityGain slope compensation of amplifiers
K.W. Goossen, Lucent, October 2000
37
Lasers for transmissionLasers for transmission
Semiconductor Diode Laser
Fabry-Perot Laser
DFB
383838 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
p-type
Low gap
semiconductor
n-type
current
0.3 mm 0.2
mm
0.1 mm
cooler
Laser diodeLaser diode
Fabry-Perot (FP) laser cavity
393939 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Cavity modesCavity modes
Cavity modes = c/2nL
L
Fabry-Perot lasers ~ 30 modes (2-10 nm linewidth) Mode jumping – Mode partition noise
DFB: Distributed Feedback laser
DBR: Distributed Bragg Reflector
DFB and DBR lasers: ~ 50 MHz linewidth
404040 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Spontaneous emission spectrumSpontaneous emission spectrum
Po
wert
(arb
itra
ry u
nit
s)
1
0
0.5
0.90 0.95 1.00 1.05
Energy (eV)
Wavelength (nm)
1350 1300 1250 1200
InGaAsP
T = 280 K
Emission spectrum of LEDs
(Light Emission Diode)
ASE or noise spectrum of Lasers
(Amplified Spontaneous Emission)
414141 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Modulation bandwidth and chirpModulation bandwidth and chirp
BW limited by
• carrier diffusion
• RC of wiring, contacts, packaging
• Relaxation oscillations
Instantaneous frequency varies (chirp)
• Dependence of refractive index on
injection current (changes effective
length of optical cavity)
• Positive chirp
Direct Modulation
42
PhotodiodesPhotodiodes
434343 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
PhotodiodesPhotodiodes
p-n junction
p-i-n
APD avalanche photodiode
p-type n-type
p+ i p n+
i (intrinsic)p n
absorption gain(10X)
+ (reverse bias)-
444444 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Materials for PhotodiodesMaterials for Photodiodes
First communications
window (830 nm)
Second window
(1300 nm)
Third window
(1550 nm)
G.P. Agrawal, Fiber-Optic Communication Systems, Wiley, New York (1997)
454545 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Photodiode CharacteristicsPhotodiode Characteristics
3040250VVbBias (APD)
10200500-MGain (APD)
61050VVbBias (p-i-n)
403050GHzfBandwidth
2010020pstrRise time
1-2050-5001-10nAIdDark current
655085%Quantum eff.
0.80.60.5A/WRResponsivity
1000-1700800-1800400-1100nmwavelength
InGaAsGeSiunitsymbolparameter
464646 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
WDM MultiplexersWDM Multiplexers
AWG: Arrayed Waveguide Grating
Free Space Grating MUX
GratingLensFibers
474747 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
AWGAWG
AWG: Arrayed Waveguide Grating
48
ModulatorsModulators
494949 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
ElectroElectro--Optic SwitchOptic Switch
Control Voltage
Pin
Pout = Pin (1+cos )/2
V
d
r = EO - coefficient
V V/
n rn V d12
3( / )
Refractive index change:
Vd
rn3Switching voltage:Switching voltage:
Nonlinear crystal
505050 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
V
0
Waveguide ElectroWaveguide Electro--Optic SwitchOptic Switch
• Mach-Zehnder
• Switching voltage: 5 - 8 V
• Integrated optics
• Fiber pigtail
LiNbO3
Waveguide (Ti in-diffused)
515151 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Electroabsorption modulatorElectroabsorption modulator
Franz-Keldysh effect
50 GHz, 2V
Energy gap of
semiconductors depends
on applied electric field
Effect is enhanced in
Multiple Quantum Wells
Integrated with laser in
the same chip
G.P. Agrawal, Fiber-Optic Communication Systems, Wiley, New York (1997)
525252 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Direct versus External ModulationDirect versus External Modulation
Broad spectral source
Bandwidth limited pulses:
B = 2.5 Gb/s D = 0.34 ps/km
B = 10 Gb/s D = 1.4 ps/km
B = 40 Gb/s D = 5.5 ps/km
Transform limited pulses
t LD
Fabry-Perot Laser:= 2 nm D = 34 ps/km
DFB Laser: ( = 20 MHz) = 0.16 pm D = 0.003 ps/km
But frequency chirp at 2.5 Gb/s
modulation is ~ 20 GHz:= 0.17 nm D = 2.7 ps/km
External modulationDirect modulation
Examples: D = 17 ps/nm/km; = 1550 nm
I(t)
laser
V(t)
laser
modulator
53
Optical AmplifiersOptical Amplifiers
545454 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
ErEr+3+3 energy levelsenergy levels
• Pump:
980 nm or 1.48 µm
pump power > 5 mW
• Emission:
1.52 - 1.57 µm
long living upper state (10 ms)
gain 30 dB
Absorption (dB/m)
4F9/2
0.0
0.5
1.0
1.5
2.0
1542
988
810
659
= 10 ms
En
erg
y (
eV
)
0 2 4 6 8
(nm)
4I9/2
4I11/2
4I13/2
4I15/2
= 10 µs
1.45 1.50 1.55 1.60
absorption
emission
(µm)
555555 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Gain Saturation and Noise of EDFAGain Saturation and Noise of EDFA
• Signal to Noise Ratio (SNR) degradation
Due to Amplified Spontaneous Emission (ASE)
• Noise Figure: NF = SNRin/SNRout > 3 dB
1500 1520 1540 1560 1580-50
-40
-30
-20
-10
0
PASE
Pout + PASE =
GPin + PASE
Po
we
r (d
Bm
)
Wavelength (nm)
-20 -10 0 10 200
10
20
30
40
Pump Power 10 mW
30 mW
Gain
(d
B)
Output Signal Power (dBm)
20 mW
565656 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
SOASOA
Semiconductor Optical Amplifier
Laser diode with antireflection coating
Fast response (recombination time) ~ ns
Very sensitive to light polarization
(PDG: polarization dependent gain)
Wide bandwidth
Operation in 1300 nm or 1500 nm windows
575757 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
PDG compensation in PDG compensation in SOAsSOAs
G.P. Agrawal, Fiber-Optic Communication Systems, Wiley, New York (1997)
585858 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Thulium Doped Fiber AmplifiersThulium Doped Fiber Amplifiers
1440-1480 nm normal
1480-1510 nm gain shifted
Special host glass
M. Islam and M. Nietubyct.WDM, March 2001
A. Aozasa et. al., OFC´2001, PD1, March 2001
595959 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Optical AmplifiersOptical Amplifiers
EDFA (1500-1620 nm) Erbium
TDFA (1440-1510 nm) Thulium
SOA (60 nm bandwidth)
Semiconductor Optical Amplifier
Raman Amplifiers (40 nm bandwidth;
choice of spectral region)
1520 1540 1560 1580 1600 1620 16400
10
20
30
40
Gain
(dB
)
Wavelength (nm)
C-band
L-band
EDFAs
90 nm
Limited by Nature to ~ 100 nmPhysics: Quantum energy levels
Chemistry: Special materials
Ram
an
Gain
, d
B
Signal Wavelength, nm
1460 1500 1540 1580 16200
5
10
15
20
Raman Gain
606060 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
ComponentsComponents REVIEWREVIEW
• Lasers and photodiodes
– Linewidth depends on laser type: • Fabry-Perot: 2-8 nm (1 THz)
• DFB: 50 MHz (0.00005 nm)
– Modulation bandwidth to 20 GHz but chirp may be a problem
– Avalanche photodiodes provide gain
– p-i-n photodiodes respond to 50 GHz
• integrated, waveguide devices (ex. AWG MUX)
– Compact, highly stable devices
• High speed modulators:• electro-optic (Lithium Niobate)
• electroabsorption (Semiconductor)
• Optical Amplifiers:• EDFA: 35 nm bandwidth, NF = 4-6 dB, = 10 ms
• L-band EDFA: 1560-1610 nm
• SOAs: Compact and inexpensive, but polarization dependent and = ns
• Raman: 40-100 nm bandwidth, we can choose the gain region
• Other Rare earths: Thulium (S-band), Praseodymium (1300 nm band),…
61
System performanceSystem performance
Power Budget
Detection
BER and Q factor
Eye diagram
626262 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Power budgetPower budget
PRX = PTX – L – Nsplices splice – System margin
(dB units)
Average splicing
insertion loss
2 – 5 dB
(aging)
What about noise?
System design
Dispersion
Keep pulse duration < 1.25 T ( T = 1/B = “bit slot”)
DLB < 0.25
Attenuation and dispersion can be compensated with
optical amplifiers and dispersion compensators
636363 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
Optical Field NoiseOptical Field Noise
Optical communications region
( = 1.3 - 1.6 µm)
h (vacuum field noise)At optical telecom
frequencies:
quantum fluctuations of
vacuum field >> thermal
noise (even at 1273 ºC)
In practice, thermal
noise of electronic part
of receiver dominates
Microwaves region
No
ise p
ow
er
den
sit
y (
W/H
z)
wavelength, (µm)
1 10 100 1000 104 10510-36
10-33
10-30
10-27
10-24
10-21
10-18
Thermal Noise
(Bose-Einstein statistics)
T = 1 K
T = 300 K
T = 1000 K
2
1
h
eh kT/
646464 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
PhotodetectionPhotodetection noisenoise
Shot noise
Total current dTS iiiPheI )/(1
Responsivity (A/W)
P = optical power (W)
feIiSS 122 2
Thermal noise fFR
kTN
L
T
42
RL
Noise figure of electrical amplifier
Low pass filter (cut-off = 70% B)
G = 1
ST
Dark current
f
In practice…
Thermal noise
Shot noise
Signal photocurrent
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BERBER
Probability
Sig
na
l c
urr
en
t
time
I1
I0
IDP(1/0)
P(0/1)
Bit Error Rate
1
0
BER = p(1) P(0/1) + p(0) P(1/0)
Q parameter
QI ID1
1
ID = decision threshold optimumII I
D1 1 0 0
1 0
QI I1 0
1 0
Q ~ Signal/Noise
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BER for Gaussian random processesBER for Gaussian random processes
IF fluctuations around I1 and I0 follow Gaussian distributions
AND (optimum) decision threshold II I
D1 1 0 0
1 0
QI I1 0
1 0
Q2 SNR/2(Electrical signal-to-noise ratio)
THEN
2 3 4 5 6 7 810-15
10-10
10-5
Q
BE
R
BER < 10-9
for Q > 62
)2/exp(BER
2
Q
Q
Q parameter
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Eye diagramEye diagram
10 Gb/s NRZ
215-1 PRBS
Before
transmission
After transmission
(DSF 80 km)
25 ps/div
686868 H. Fragnito UNICAMP H. Fragnito UNICAMP H. Fragnito UNICAMP ––– IFGWIFGWIFGW
I1 – I0
Q = (I1 – I0)/( 1 + 0) 7/(1+0.5) = 5 ( BER 10-7 )
Using the eye diagramUsing the eye diagram
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System Performance REVIEWSystem Performance REVIEW
• Noise in optical field gives shot noise, but in photodetected, electrical
signals, thermal noise dominates
• Eye diagram is a powerful tool for system diagnostics
– BER is determined by Q factor (Q2 ~ SNR/2)
– BER < 10-9 for Q > 6
• What are the physical limits of fiber optic transmission systems?
– Attenuation?
– Dispersion?
– Nonlinearities?
70
WDM SystemsWDM Systems
Traditional Systems – 3R
Optically Amplified systems
WDM
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Traditional Optical Communication SystemTraditional Optical Communication System
Tx
Timing &
Shaping
circuits
Transmitter Repeater
Rx
Receiver
Laser
Optoelectronic repeater
Photodiode
Optical fiber (20-50 km)
Loss compensation: Repeaters at every 20-50 km
System capacity limited by speed of electronic
circuits
3R
3R =
Retiming,
Reshaping &
Regeneration
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Optically Amplified SystemsOptically Amplified Systems
Photodiode
EDFA
Laser
EDFAEDFA EDFA
Signal
(1.55 µm)
WDM
Erbium Doped Fiber (10-50 m)
Amplified
Signal
Pump Lasers (1.48 µm or 980 nm)
isolatorWDM
Booster Pre-Amp
Fiber (20-100 km)
Bits continue in photonic format
EDFA = Erbium Doped Fiber Amplifier
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Characteristics of EDFA based SystemsCharacteristics of EDFA based Systems
Bandwidth > 4 THz
depends on glass host
(100 nm in Telurite glass)
Low noise
NF ~ 4 – 7 dB
Optical power > 10 mW
larger distance between EDFAs
Transparent to bit rate, modulation format,
and bit coding
Ideal for WDM
(Wavelength Division Multiplexing)
15
20
30
Ga
in (
dB
)
Wavelength (nm)
1500 1520 1540 1560 1580
35 nm
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DWDM SystemsDWDM Systems
Transmitters (Bit rate = B)
Optical Amplifiers
N
Receivers
N
MUX
DeM
UX
Po
we
rd
en
sit
y
Frequency, (THz)
192.8 193.0 193.1192.9
= 100 GHz, 50 GHz,
(up to 40 Gb/s) DWDM
25 GHz, or 12.5 GHz
(up to 10 Gb/s)
UDWDM (Ultra Dense)
DWDM = Dense Wavelength Division MultiplexingDWDM = Dense Wavelength Division Multiplexing
ITU grid
n = + n
= 193.1 THz
(1552.52 nm)
(n = 0, ±1, ±2, ...)
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Bandwidth of WDM systems with Bandwidth of WDM systems with EDFAsEDFAs
• 4 THz Optical Bandwidth
• 80 WDM channels x 40 Gb/s
(50 GHz channel spacing)
• Total capacity: 3.2 Tb/s
• Important issues:
– BBandwidth
– GGain flatness
– OOutput power
15
20
30
Ga
in (
dB
)Wavelength (nm)
1500 1520 1540 1560 1580
35 nm
EDFA = Erbium Doped Fiber AmplifierEDFA = Erbium Doped Fiber Amplifier
C band (1530C band (1530--1560 nm)1560 nm)
Capacity of DWDM systems determined by
bandwidth of optical amplifiers
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Chirped Fiber Bragg GratingsChirped Fiber Bragg Gratings
1 2
L12
• Dispersion compensation
Optical Delay = nL12/c
• Gain flattening
(varying index modulation)
M. Guy and F. Trépanier, WDM, March 2001
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Systems Concepts REVIEWSystems Concepts REVIEW
• Optical Communication system use several Multiplexing
techniques, all include TDM (Time Division Multiplexing)
– TDM standards (SONET, SDH): ex. OC-192 = STM-64 = 10 Gb/s
– Modulation is ISK – Intensity Shifted Keying and NRZ format
• DWDM systems use Gb/s lasers at different lambdas
– Aggregated bit rate = NxB
– Channel spacing 50-100 GHz; ITU grid
– Total optical bandwidth limited by bandwidth of optical amplifiers
– Total power NxP (nonlinear optical effects are important)
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Where to get more informationWhere to get more information
G.P. Agrawal, Fiber-Optic Communication Systems, 2nd ed., J. Wiley & Sons, New York (1998).
Lightwave Magazine, PennWell, free subscription: http://lw.pennnet.com/home.cfm
B.E.A. Saleh and M.C. Teich, Fundamentals of Photonics, Wiley, New York, 1991.
K. Iizuka, Elements of Photonics, Vol. II: For fiber and integrated optics, Wiley, New York, 2002.
G. Keiser, Optical Fiber Communications, 2nd ed., Mc Graw Hill, New York, 1991.
J.A. Buck, Fundamentals of optical Fibers, Wiley, New York, 1995.
Journal of Lightwave Technology 24(12), special issue, Dec. 2006.