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TransmissionCharacteristicsof
OpticalFiber
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TransmissionWindowsinOpticalFiber
st
Lowloss
10Kmrepeaterspacing u mo e erswereuse
140Mbps
g erattenuat onShortdistance
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TransmissionWindowsinOpticalFiber
nd
LowlossSilicafibers
40Kmrepeaterspacing
Sin lemodeaswellasMultimodefiberswereused
2.5Gbps
Comparativelylessattenuationlongdistance
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TransmissionWindowsinOpticalFiber
rd
Lowloss
90Kmrepeaterspacing
ng emo ean u mo e erswereuse
Upto10Gbps
owestattenuat onlongdistance
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AttenuationCharacteristicsofanOpticalFiber
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FiberAttenuation
Lossorattenuationisalimitingparameterinfiberoptic
systems
electricaltransmissionlinesonlywhenlosseswerereducedtoallowsignaltransmissionoverdistancesgreaterthan10km
Fiberattenuationcanbedescribedbythegeneralrelation:
PdP =
whereisthepowerattenuationcoefficientperunitlength
in ,afterpropagatingalengthLwithinthefiberPoutis
LPP inout = exp
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FiberAttenuation
Attenuat on sconven ent yexpresse ntermso B m
( ) log10
10
=P
P
LkmdB out
log10 10
=
PeP
L in
L
in
( ) ( )
34.4
log 10
=
= eLL
dBmmW
mWmWP 10
1
10log1010 10 =
==
mWmWdBmP 50110127 1027
===
PowerisoftenexpressedindBm (dBm isdBfrom1mW)
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Attenuation
Intrinsic
Extrinsic Duetoscattering
MicrobendingMacrobending
Atomicdefects near
Mie
Nonlinear
SRS
SBS
CPM
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Absorption
Absorption is caused by three different mechanisms:
1- Impurities in fiber material: from transition metal ions (must
be in order of ppb) & particularly from OH ions with
absor tion eaks at wavelen ths 2700 nm 400 nm 950 nm &
725nm.
2- Intrinsic absorption (fundamental lower limit): electronica sorpt on an reg on atom c on v rat on an
(IR region) in basic SiO2.
3- Radiation defects
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ExternalLosses
Bendingloss
Radiationlossatbendsintheo ticalfiber
InsignificantunlessR
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B n in l Macrobendin
Microbending
cladding
core
23
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Transmission medium erformance
z=0 z=L
Attenuation
z=0 z=L
Dispersion
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Dispersionofthetransmitted
opticalsignalcausesdistortionfor
transmissionsalongopticalfibers. Indigitalsystems,thedispersion
mec anismscausea roa ening
ofthetransmittedpulsesasthey
travelalongthefiber. Thisreducesthefiberbandwidth
andcancauseintersymbol
interference(ISI).
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Dispersion
Dis ersivemedium:velocit of ro a ationdependsonfrequency
Dispersioncausestemporalpulsespreading
Pulseoverlapresultsinindistinguishabledata Intersymbolinterference(ISI)
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Di r i n m h ni mIntermodal Intramodal / Chromatic
materialAtomicresonances Electronic
1
resonances
multimode fiber! 1010 1011 1012 1013 1014 1015 1016 1017(Hz)
wavegu e
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Higherordermodeshavealongerpathlength Longerpathlengthhasalongerpropagationtime
TemporalpulseseparationL=
vgisusedasthepropagationspeedfortheraystotake
gv
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In rm l i r i nL
n1 c
X
2
n
Lc
L
T1
min
distance
===2
cos nc =
n1
1max
nLT=
1
t
2
2
1
nc
Ln
c
=
[ ]kmnscn
LNA
c
nLn
c
n
n
LnTTT s /
2 1
2
1
2
1minmax
==
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1/Ts
Ts/2 Ts/2 time
dttpdttp
sT
T
ii )(1)(2
==
s
2
rms pulsebroadeningduetointermodaldispersion
1
0
2
1
12
mmeanzero
mm
T
s
s
=
=
( )1 22
2
2
2
NALT
dtT
tm
s
sTs
==
=
34)(
32
223
1
2
1
1
cnNAL
cLn
cn
s
s
==
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Dispersionhaslesseffectinsinglemodefibers
BL = 20 MHz.km
BL = 1 GHz.km
= .
2
=TB
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e.g.AMMGIFiberexhibitstotalpulsebroadeningof0.1soveradistanceof15Km.Estimate:
1. Max.possiblebandwidthonthelinkassumingnoISI
.
3. Bopt.L productforthefiber.
1) 5MHz
2) 6.67ms/Km
3) 75MHz.Km
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Duetothedispersion,thereispulsebroadening
BisthebitrateandTthebitduration.
Togetanorderofmagnitudeofthedispersioneffect,oneusesthefollowingcriteria:thepulsebroadeningTmustbelessthanthepulsewidthT.
1=< TT
B1 0 0 1 1 1* 1 1
uecer a n vaa1 0 0 1 1 0 1 1
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Dispersion has two origins
Intramodal orchromaticdispersion:describesthepulse
broadeningduetothefinitespectrallinewidthofthesources
andoccursinalltypesoffibers:
thecladdingchangewithwavelength)
Waveguidedispersion(Echangeswithwavelength) Profiledispersion(indexprofilechangeswithwavelength)
Intermodaldispersion:describesthepulsebroadeningduetothepropagationdelaydifferencesbetweenthepropagation
modes in multimode fibers.
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The group velocity is given by:
d
d
g =
d
l
l
== g
v udepend both on frequency & the propagation
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Materialdispersion
Itoccurswhenthephasevelocityofaplane
wave ro a atin inthedielectricmedium
variesnonlinearlywithwavelength.nd
2
n
cv
d
p
==
2
N
c
d
dv
g
g ==
dnn
cdvdelayGroup
g
g
g
=
====
11
Ld
dnncdelaydispersionmaterial
dc
m
=
11
1
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Pulsebroadeningduetomaterialdispersion
12
ndL
m =c
2
Lc
=
2
1
d
Materialdispersionparameter
Kmnmpsd
nd
cM = /21
2
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Materialdispersiontendstobecome0
atlongerwavelengths
200
150
dispersion
50
50
00.6 0.8 1 1.2 1.3 1.4 1.6 1.8 2
100
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ChromaticdispersionandIntermodal dispersion
22nCT
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Polarization Mode dispersionIntensity
zOutput light pulse
t
ore
n // x
1y
E
Ex
x
Ey= Pulse spread
x y
E
t
Input light pulse
Su ose that the core refractive index has different values alon two ortho onal
directions corresponding to electric field oscillation direction (polarizations). We cantakexandyaxes along these directions. An input light will travel along the fiber withExandEypolarizations having different group velocities and hence arrive at the output at
1999 S.O. Kasap,Optoelectronics (Prentice Hall)
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Temporal changes in a narrow optical pulse that is subjected to Kerr nonlinearity in
.
Innn 20+= Kerr nonlinearity in fiber, where I is the intensity of.
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Di r i nfl n fi r
40
Dm SiO21.55
0
20
D(ps/nm/km)
Dtot DFF
\
-20
w
n(r)
-40
1.2 1.3 1.4 1.5 1.6
wavelength (m)
51
rW-fiber
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