fibre optics

51
EE4110 Alphones 1 Dr. Arokiaswami Alphones (Assoc. Prof) S2.2-B2-19 (Extn: 4486) [email protected] EE4110 Alphones 2 TOPICS Covered 1. Introduction 2. Optical Principles 3. Signal degradation in optical Fibers 4. Light Sources and Detectors EE4110 Alphones 3 TEXT BOOKS: 1. Optical Fiber Communications by Gerd Keiser McGraw- Hill, 5 th Edition, 2013 2. Optical Fiber Communications Principles and Practice by John M Senior 3 rd Edition, Prentice Hall, 2009 REFERENCES 1. Essential Guide to Optical Networks by David Greenfiled, Prentice Hall, 2001 2. Fiber Optic Communications by J C Palais Pearson, 5th Edition, 2005 3. Optical Networks by R Ramswami & K N Sivarajan Morgan Kaufmann 1998 4. Fiber Optic Test & Measurement by Dennis Derrickson (Ed), HP Professional Books 1998 EE4110 Alphones 4

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fibre optical communication. this is a lecture slide to learn more about optics communication

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Page 1: fibre optics

EE4110 Alphones 1

• Dr. Arokiaswami Alphones(Assoc. Prof)

• S2.2-B2-19 (Extn: 4486)

[email protected] Alphones 2

TOPICS Covered

1. Introduction

2. Optical Principles

3. Signal degradation in optical Fibers

4. Light Sources and Detectors

EE4110 Alphones 3

TEXT BOOKS:1. Optical Fiber Communications by Gerd Keiser McGraw-

Hill, 5th Edition, 20132. Optical Fiber Communications Principles and Practice by

John M Senior 3rd Edition, Prentice Hall, 2009

REFERENCES1. Essential Guide to Optical Networks by David Greenfiled,

Prentice Hall, 20012. Fiber Optic Communications by J C Palais Pearson, 5th

Edition, 20053. Optical Networks by R Ramswami & K N Sivarajan Morgan

Kaufmann 19984. Fiber Optic Test & Measurement by Dennis Derrickson

(Ed), HP Professional Books 1998EE4110 Alphones 4

Page 2: fibre optics

EE4110 Alphones 5

Transmission Loss in Atmosphere

• OHx CO2

EE4110 Alphones 6

Increase in Bitrate-Distance product

1960

Laser

1970

Low-Loss Optical Fiber

EE4110 Alphones 7

Progress In Lightwave Communication Technology

EE4110 Alphones 8

Why fiber?

Page 3: fibre optics

9

3-dB OPTICAL BANDWIDTH

As light propagates down a fiber at low

modulation frequencies, its loss remains

constant. At higher modulation frequencies the

signal power begins to decrease.

The 3-dB optical bandwidth is the frequency at

which the optical signal power is reduced by

one half. It is illustrated on the previous slide.

3-dB electrical/optical bandwidth points

EE4110 Alphones 11

ADVANTAGES OF OPTICAL FIBERS

•Greater bandwidth•At = 1m ( = 3x1014 Hz)•BW @1% of = 3000GHz (>million TV channels)•Small size and weight

- Twisted pair cable: = 7-10cm, 1000 wire pairs - Fiber: one fiber, < 1cm can carry more data

•Attenuation - low & frequency independent•Free from EMI and cross-talk•Safety & Electrical isolation (fiber is dielectric)•Security (non-invasive tapping impossible)•Ruggedness, chemical inertness•Low cost, abundant raw material (sand)

EE4110 Alphones 12

History of attenuation

Page 4: fibre optics

EE4110 Alphones 13

Four generations of light wave systems

1st generation-1980 =0.8m, 45Mb/s, (MM fiber)

2nd generation-1987 =1.3m, 1.7Gb/s (SM fiber)

3rd generation-1991 =1.55m, 2.5Gb/s (SM fiber)

4th generation (with WDM & Optical Amplifiers)

1996 (TPC-5/FLAG) =1.55m, 40Gb/s 2000 (TPC-6) =1.55m, 100Gb/s

Current trends - Optical Raman amplifiers- WDM/DWDM systems- Soliton (5th Generation) systems

EE4110 Alphones 14

WAVELENGTH DIVISION MULTIPLEXING (WDM) SYSTEMSOptical carrier BW >1THzLimiting factors - Dispersion, Fiber non-linearity, - Speed of electronic

circuits

Fiber loss (dB/km

)

1.5 Channel spacing1-10GHz

Carrier 1.0

Frequencies

12THz0.5

15THz

0

0.9 1.1 1.3 1.5 1.7Wavelength (m)

To utilize the high capacity of fibers, in WDM systems, multiple opticalcarriers of different wave-lengths are Modulated by separate input signalsMultiplexed and sent through a single fiber De-multiplexed at the receiverinto channels

EE4110 Alphones 15

DWDM (Dense Wavelength Division Multiplexing) Systems for Very-High Capacity

Optical Communications

Multi-Wavelength DWDM System

Tx Rx

Fiber

Tx 1

Tx 2

Tx 3

Tx N

Rx 1

Rx 2

Rx 3

Rx N

WDM

WDM

Fiber

Single-Wavelength Conventional System

Research started in 1986 System deployment in 1995

EE4110 Alphones 16

High-Capacity Systems (TDM+DWDM )

OC-Level Line Rate TDM DWDM

OC-3 (STM-1) 155 Mb/s (2016 Ch) OC-12(STM-4) 622 Mb/s (8064 Ch) OC-48(STM-16) 2.5 Gb/s (32256 Ch) OC-192(STM-64) 10 Gb/s (129,024 Ch) OC-768(STM-256) 40 Gb/s (516,096 Ch) OC-48 x 4 10 Gb/s (4 x 2.5 Gb/s) OC-48 x 16 40 Gb/s (16 x 2.5 Gb/s) OC-192 x 8 80 Gb/s (8 x 10 Gb/s) OC-192 x 32 320 Gb/s (32 x 10 Gb/s) OC-768 x 40 1.6 Tb/s (40 x 40 Gb/s)

Reference (SONET/SDH) standard: OC-1 ---- 51.84Mb/s

Page 5: fibre optics

EE4110 Alphones 17

Optical Fiber Attenuation and Fiber Amplifier Gain

EE4110 Alphones 18

1st Commercial Fiber Installation Chicago 1977

Terrestrial Fiber Communication

Link

90 Mb/s system

7 yrs after 1970

1977

EE4110 Alphones 19

Example of Optical Fiber on a Drum—Corning Fiber

EE4110 Alphones 20

TAT-8, the first transoceanic fiber optic cable system

In-service since 1988 (280 Mb/s on each of two fiber pairs)Designed and deployed by AT&T Submarine Systems

and Bell Labs 1988< 25 years ago

Page 6: fibre optics

EE4110 Alphones 21

Laying undersea optical cable and a repeater for TAT-8from the deck of the AT&T CS Long Lines, 1988

1988

EE4110 Alphones 22

Global Undersea Optical Fiber Networks

560 Mbp/s REGENERATIVE280 Mbp/s REGENERATIVE

OTHER REGENERATIVE

5.0 Gbp/s AMPLIFIER2.5 Gbp/s AMPLIFIER

NON-REPEATERED

FLAG

SINGAPORE-BRUNEI

HON-TAI-2

THAILANDMALAYSIA

RUSSIA

TURMEOS-1

FLAG

DENMARK-RUSSIA

SEA-ME-WE2

TCS-1APCN

PENBAL

H-J-K

APCK-J-G

TPC-4

NPC

TPC-3

H-P-G EURAFRICAPENCAN-4OPTICAN-1

MAT-2

SWEDEN-FINLAND

B-M-P

JAPANCHINA

G-P-T

SEG D

UK-SPAIN 4

TAT-10KOREA

OFFSHORE

AMERICAS-1N

CANUS-1

TAT12

TPC-5NETWORK

TAT13

FLORICO

HAW-5

PTAT

CARAC

PACRIMWEST

PACRIMEAST

QCC

HICS

APOCS

TAINO-CARIB

ST.THOMAS-ST.CROIX

ISRAEL-CYPRUS

RIOJA

CELTIC

EMOS-1

TAT-11TAT-9

SAT-2

UNISUR

AMERICAS-1

HAW-4

JASAURUS

TASMAN-2

CADMOS

COLUMBUS IIB

23

ANALOG SIGNAL QUALITY

A measure of the quality of an analog signal is

the signal-to-noise ratio (SNR). It is the signal

power divided by the noise power.

S/N = (Signal Power)/(Noise Power)

For analog television signals, SNR > 10,000 is

required for decent viewing of video signals.

24

DIGITAL SIGNAL QUALITYThe measure of quality for a digital system is

the bit error rate (BER). The BER is the

fraction of errors contained in a signal.

Example: A BER = 10-9 means that there is one

bit error for every 109 bits.

Digital systems require good bit error rates.

Number of bits in errorBER =

Total Number of bits transmitted

Page 7: fibre optics

25

Computing Power Levels in Decibels

(Self Study Slides 25-32)

The decibel scale is useful for analysis and design of

fiber components and systems.

P1P2

Component (System)

26

DECIBEL SCALEThe decibel scale is used to compare the ratio of two

power levels.

Example: Suppose P2/P1 = 0.5. Then

dB = 10 log (0.5) = -3 dB

Example: If P2/P1 = 1, then

dB = 10 log 1 = 0 dB

Example: If P2/P1 > 1, then dB is positive

Example: If P2/P1 < 1, then dB is negative

27

DECIBEL SCALE FOR CASCADED ELEMENTS

The dB scale is useful for analyzing a system of

cascaded elements.

P1 P4

Element 1 Element 2 Element 3

P2 P3

28

DECIBEL SCALE FOR CASCADED ELEMENTS

Thus

Page 8: fibre optics

29

DECIBEL ABSOLUTE POWER SCALE

The decibel scale can be used to denote absolute

power if a reference power is specified. If the

reference power is set to 1 mW, we have the dBm

scale defined by

dBm = 10 log P

where P is in milliwatts. This is read as dB relative to a

milliwatt.

30

DECIBEL ABSOLUTE POWER SCALE

The dB scale is defined as:

dB = 10 log P

where P is in microwatts. This is read as dB

relative to a microwatt.

Absolute Power in dBm• The power of a light is measured in milliwatts• For convenience, we use the dBm units, where

-20 dBm = 0.01 milliwatt-10 dBm = 0.1 milliwatt0 dBm = 1 milliwatt10 dBm = 10 milliwatts20 dBm = 100 milliwatts

32

DECIBEL ABSOLUTE POWER SCALE

dBm1 dBm2

dBm2 = dBm1 + dBx

Proof

dBxP1 P2

Page 9: fibre optics

33

IMPORTANT CONSTANTS

Description Value Symbol

Velocity of light 3*108 m/s c

Planck constant 6.626*10-34 J*s h

Electron charge 1.6*10-19 C e or q

Boltzmann constant 1.38*10-23 J/K k

Optical Fiber• Core

– Glass or plastic with a higher index of refraction than the cladding

– Carries the signal

• Cladding– Glass or plastic with a lower index of

refraction than the core

• Buffer– Protects the fiber from damage and

moisture

• Jacket– Holds one or more fibers in a cable

EE4110 Alphones 35

Optical Fiber

• Typical Dimension for Silica Fibers:– SMF (Single Mode Fiber): 8 μm core, 125 μm cladding– MMF (Multi Mode Fiber: 50, 62.5, 100 μm core, 125 μm

cladding• Index profile: Step vs. Graded vs. multi-step…

EE4110 Alphones 36

Refraction and reflection

Page 10: fibre optics

EE4110 Alphones 37

Total Internal Reflection

1 1 2 2

1 3

1 2 1 2

21 2

1

1

:sin sin

Re

90 deg

sin sin

c c

c

c

Snells Lawn n

flectionCondition

Whenn n and as increases eventuallygoes to rees and

nn n or nis called theCritical angle

For there is nopro pagating refracted ray

With n1=1.5 (glass) & n2=1.0 (air), c = 41.80

EE4110 Alphones 38

Basic Parameters

Velocity (free space) c= 3x108m/s

Frequency “f” (Hz) or Wavelength “” (m or nm)

fc /

ncv /Velocity in the medium

n - refractive index of the medium

39

Particle Nature of Light

Light is made up particles called photons. Each

photon has energy:

- wavenumber or frequency

h = 6.626 x 10-34 J s (Planck’s constant)

Shorter wavelength (higher frequency) waves have

greater photon energy.

chhEp

40

PARTICLE NATURE OF LIGHT

The electron volt (eV) is another useful unit for analysis

of fiber optic systems. The electron volt is defined as

the energy acquired by an electron accelerated across a

1 volt potential difference. The conversion between

electron volts and joules is:

1 eV = 1.6 x 10-19 J

The 0.8 m photon has an energy of:

= 1.55 eV19

1434

106.18.010310626.6

Page 11: fibre optics

EE4110 Alphones 41

Comparison of fiber structures

EE4110 Alphones 42

Basic Step index Fiber StructureThe linked image cannot be displayed. The file may have been moved, renamed, or deleted. Verify that the link points to the correct file and location.

43

Light Coupling Efficiency• Must match emitting area to core diameter• Numerical Aperture (NA)

– Defines range of angles over which fiber collects light

– NA is 0.21 for ncore=1.50 and nclad=1.485– Typical core-cladding difference around 0.3-2%

NA ncore2 ncladding

2 EE4110 Alphones

Core

Acceptance angle

Cladding

Half Acceptance angle m

Whole Acceptance angle 2(Light here is guided in fiber)

EE4110 Alphones

Page 12: fibre optics

EE4110 Alphones 45

1

212

1

22

21 Re2 n

nnDifferenceIndexrefractivelativen

nn

Numerical Aperture for meridional rays

It is related to the maximum acceptance angle

NA = n0sinm = n1cosc

NA = (n12-n2

2)1/2 = n1(2)

EE4110 Alphones 46

For Corning SMF-28 optical fiber (8/125)

n1=1.4504, n2=1.4447 at 1550 nm

NA = 0.1285

Acceptance angle = 7.38 degrees

Core Dia Cladding Dia

EE4110 Alphones 47

The Cutoff• For each mode, there is some value of V

(Normalized Frequency Parameter) below which it will not be guided because the cladding part of the solution does not go to zero with increasing r.

• Below V=2.405, only one mode (HE11) can be guided; fiber is “single-mode.”

• Based on the definition of V, the number of modes is reduced by decreasing the core radius and by decreasing ∆.

2 21 2

2 aV n n

For SI fiber

EE4110 Alphones 48

Jl(r)

r0

0.4

0.8

0.4

1

2 4 6 8 10

l0

l1

l2

Bessel’s function variation with order

2.405

Page 13: fibre optics

EE4110 Alphones 49

2 2 1 1

0

,2 /

n k k k n kk

EE4110 Alphones 50

L

I

0 ePP

PowerInputLcetandisatPowerOutput

10 log I

o

Input Power PAttenuation dBL Output Power P

Input Pulse

Attenuation Output Pulse

Absorption Coefficient

SIGNAL DEGRADATION IN OPTICAL FIBERS

Two major causes - Attenuation & Dispersion

Attenuation – involves only change of amplitude

Attenuation is caused by - Absorption- Scattering

EE4110 Alphones 51

Dispersion – change in the pulse shape

Output Pulse

Input Pulse

EE4110 Alphones 52

Wavelength SMF28 (8/125) MMF 62.5/125

850 nm 1.8 dB/km 2.72 dB/km

1300 nm 0.35 dB/km 0.52 dB/km

1380 nm 0.50 dB/km 0.92 dB/km

1550 nm 0.19 dB/km 0.29 dB/km

Page 14: fibre optics

EE4110 Alphones 53

Dispersion• Different components of transmitted signal

travel at different velocities in the fiber and arrive at different times at the receiver– Modal dispersion: different modal components of a

pulse travel at different velocities– Chromatic dispersion: different spectral

components of a pulse travel at different velocities• Material dispersion: due to -dependence• Waveguide dispersion: due to waveguide design

– Polarization dispersion: different polarization components of a pulse travel at different velocities

EE4110 Alphones 54

Phase/Group Velocity

NNp /,

1, / dd NNg

Phase constant of Nth order mode

EE4110 Alphones 55

Definitions

Group velocity

Group delay

Dispersion

1

gv

kc

1

D

EE4110 Alphones 56

Intermodal DispersionA light pulse excites several modes in a SI fiber. Pulse broadens because these modes

travel in different path lengths, but have the same velocity

Cladding n2

Core n1

Cladding n2

Core n1

Inter Symbol Interference

0 1 0 1

0 1 0 1

0 1 1 1 ?

Page 15: fibre optics

EE4110 Alphones 57

Modal Dispersion

EE4110 Alphones 58

Cladding n2

L’ 1c

L Core n1

11

21

11

minmax

/1

//

//sin/1

ps/km)or (ns )(

ncncnn

ncL

ncL

LL

pathshortestpathlongestfortimeTravelL

c

cn

L

12

21

1

21n

nnn

nn

EE4110 Alphones 59

Mode Coupling reduces dispersion

103

102

101

100

10-1

0.01 0.1 1 10 100Fiber Length (km)

Lc = Characteristic Fiber Length

WithMode Coupling

WithoutMode Coupling

Mod

e D

ispe

rsio

n (n

s/km

)

cLLc

n 1

Dispersion with mode coupling

Lc – After this fiber length(100 to 550m) mode coupling tends to average out the propagation delays among the modes and reducing modal dispersion

EE4110 Alphones 60

wavelength,radiuscorea

nna2)FrequencyNormalized(V

405.2VFor2

VN

22

21

2

Number of modes (N) in SI fiber

For V 2.405 22

21 nn2

405.2a

Cladding n2

Core n1

Single mode (SM) fiberZero modal dispersion

Page 16: fibre optics

Measuring Bandwidth

• The bandwidth-distance product in units of MHz×km shows how fast data can be sent through a cable

• A common multimode fiber with bandwidth-distance product of 500 MHz×km could carry– A 500 MHz signal for 1 km, or– A 1000 MHz signal for 0.5 km

EE4110 Alphones 62

Dispersion Limitation in MMF

• Dominated by modal dispersion for unit length

• For step-index MMF, the bitrate-distance product would dictate the transmission capacity

– Typical step-index MMF BL<10 Mb/s-km

21

BL

EE4110 Alphones 63

GRADED INDEX FIBER CONCEPT

Light Propagation In a Hypothetical Multi-layer Fiber

n1

n2

n3

n4

n1> n2> n3> n4

EE4110 Alphones 64

Increasing the # of Refractive Layers (Same n & )

n

A. 4-Layers

B. 8-Layers

C. Infinite Layers Practical GI Fiber

n

n

Page 17: fibre optics

EE4110 Alphones 65

1

212

1

22

21

212/1

1

2/1

1

nnn

n2nn

arforn)1(n)21(n)r(n

ar0forar21n)r(n

General refractive profile for GI fibers: n(r) as function of radial distance, is the index profile

EE4110 Alphones 66

ar1n)r(narFor 1

= 1 Linear Profile

n2

n1

Special cases

Case-I:

ar1n)r(n 1

EE4110 Alphones 67

2

1 1)(arnrn

n2

n1

= Step-Index Profile

Case-II:

Case-III:

= 2 Parabolic Profile

n(r) = n1

EE4110 Alphones 68

SI2

122

GI N2

nka2

N

= Modal Dispersion for equivalent SI fiber

Number of modes in a GI fibers

NSI = No. of modes in equivalent SI fiber

Inter-modal dispersion in GI fibers

SILcn

L

whenoccursdispersionMinumum

1010

2)1(2

21

min

SIL

Page 18: fibre optics

EE4110 Alphones 69

Dispersion Comparison

Graded-index fiber has substantially less modal dispersion

EE4110 Alphones 70

Intra-modal dispersion or Chromatic Dispersion

pulse spreading within a single mode due to dependence of vg on

Material DispersionDue to variation of n with

Waveguide DispersionDue to variation of with a/

Intra-modal (chromatic) dispersion

71

SPECTRUM OF AN OPTICAL SOURCE

1

.5

Example Emission Spectrum of an Optical Source

fFrequency

f = source bandwidth (range of frequencies

emitted by the source).

NormalizedPower

ff1 f2

72

SPECTRUM OF AN OPTICAL SOURCE

1

.5

Alternatively, we can plot the wavelength

emission spectrum as follows:

Wavelength

NormalizedPower

= linewidth or spectral width

21

Page 19: fibre optics

73

SPECTRUM OF AN OPTICAL SOURCE

Example: If = 0.82 m, = 30 nm

so we have 3.7% bandwidth.

The conversion between wavelength and

frequency is:

74

SPECTRUM OF AN OPTICAL SOURCE

Spectral Widths for Typical Light Sources

Source Spectral Width (nm)

LED 20-100

Laser Diode 1-5

Nd:YAG-Laser 0.1

HeNe Laser 0.002

Variation of Refractive index of Silica using Sellmeir’s equation

EE4110 Alphones 75

800 1000 1200 1400 16001.442

1.444

1.446

1.448

1.45

1.452

1.454

(nm)

n (

)

1 68.4 0.69617

2 116.2 0.40794

3 9896.2 0.89748

Wavelength

Zero dispersion wavelength

Zero slope point

Inflection point

Wavelength

Wavelength

0

+

-

0

1.447

delay changes little at peak (inflection point)

Delay changesfaster here

a) Refractive index vs.

b)Group delay vs..

c)Dispersion vs..

Refractive index, group delay, and dispersion

n()

dn/d

d2n/d 2

Page 20: fibre optics

EE4110 Alphones 77

MATERIAL OR SPECTRAL DISPERSION

Light sources emit - A band of wavelengths - Have a finite spectralwidth

Material dispersion : Pulse broadening due to

‘n’ being a function of Different s traveling with different speeds

For an optical signal through a fiber of length L and a source spectral width of

EE4110 Alphones 78

mg

mg LDd

ndc

Ldd

2

2

m LDm

Pulse Broadening

Travel time(Group Delay due to Material dispersion)

ddnn

cL

d/dd/dL

d/dL

vL

gg

EE4110 Alphones 79

m L Dm

Source spectral width -

nm

Mat. Disp. Coeff.

ns/km/nm

Material dispersion

Fiber length (km)

112

2

m nm.km.nsd

ndc

Coeff.Disp.MatD

EE4110 Alphones 80

For LED 20- 40 nm

For FP laser diode 2-4 nm

For DFB laser diode < 1 nm

= 0 = 1.276m

m /m can be reduced by source with small

Another factor to reduce Material dispersion is the selection of operating wavelength

For pure SiO2, Zero dispersion occurs at

Page 21: fibre optics

EE4110 Alphones 81

For pure SiO2, Zero dispersion occurs at 0 = 1.276 m

8

6

4

2

0

-2

0.8 1.0 1.2 1.4 1.6 1.8(m)

0 = 1.276 m

(d2 n

/d2

) 10

-10

m-2

EE4110 Alphones 82

Addition of impurities to SiO2 can result in shifting of zero dispersion wavelength 0 to another value

40

0

- 40

- 80

-120

0.8 1.0 1.2 1.4 1.6(m)

DM

(ns/

km/n

m)

13.5% GeO286.5% SiO2

Quenched SiO2

= 0 = 1.276 m

However, addition of impurities can also cause increase of attenuation

EE4110 Alphones 83

.Coeff.DispWaveguidedV

VbdVcnD 2

22

wg

wg Dwg L WaveguideDispersion

Mode-field diameter =2w0

In a SM fiber, )/exp()( 20

20 wrErE

At r = wo, E(Wo)=Eo/e

Typ. Wo > a

WAVEGUIDE DISPERSIONAssumption: n independent of (For independent analysis of waveguide dispersion)

EE4110 Alphones 84

1.2

0.8

0.4

0 0 1.0 2 3V= kaNA

b

2

2

dVVbd

dVVbd

4.22Vfor1.0to2.0

2.1VatMaximumdV

Vbd2

2

For MM fibers: Waveguide Disp.<Material Disp.For SM fibers, waveguide dispersion is important

Page 22: fibre optics

EE4110 Alphones 85

A better approach is to combine the material and waveguide dispersions in the fiber to obtain i.e Dm + DW

20

10

0

- 10

- 20

1.0 1.2 1.4 1.6(m)

DM

(ns/

km/n

m)

Dm + DWa = 2.5 m

Dm

DW (a = 4 m)

DW (a = 2 m)

DW (a = 2.5 m)

DISPERSION SHIFTED FIBER

EE4110 Alphones 86

Dispersion-compensating fiber

Transmission fiber

0

100

50 100 150 200Distance, km

Tota

l acc

umul

ated

di

sper

sion

, ps/

nm

TX RX

Dispersion Management Technique

Accumulated dispersion at the receiver is close to zero

ofcshortcourse.ts.degradation_effects.12

EE4110 Alphones 87

The eye diagram is an intuitive graphicalrepresentation of electrical and opticalcommunication signals. The quality of these signals(the amount of inter-symbol interference, noise, andjitter) can be judged from the appearance of the eye.

The waveform of a communication signal, such as(NRZ) or (RZ) signal, can be turned into an eyediagram or eye pattern by folding the time axismodulo a whole number of bit (or symbol) intervals.

Eye Diagram/Eye Pattern

EE4110 Alphones 88

Eye diagram of a signal measured using sampling oscilloscope

Page 23: fibre optics

EE4110 Alphones 89

40 Gb/s Chromatic Dispersion Compensation

“Eye Diagram”

without compensation

withcompensation

EE4110 Alphones 90

Dispersion @1550nm Dm 18 ps/km/nm

Zero Dispersion @ 0 = 1276 nm

DISPERSIONS IN SINGLE-MODE FIBERSPulse broadening due to source spectral width

2nd order dispersion causes pulse broadening near 1276 nm in standardSMF and 1550 nm in DSF

2nd-order dispersion is dispersion slope

d

)(dD)(S m

Dispersion at wavelength,

4

m 14S)(D

For small chromatic dispersion, polarization mode dispersion (PMD) becomes significant

PMD = DPMD (ps/km) x L1/2

EE4110 Alphones 91

Polarizations of fundamental mode

EE4110 Alphones 92

Polarization mode dispersion

Page 24: fibre optics

EE4110 Alphones 93

40 Gb/s System PMD Dispersion Compensation

without compensation

withcompensation

Overall Pulse Broadening in Fibers

EE4110 Alphones 94

Dispersion due to modal dispersion

Dispersion due to material dispersion

Dispersion due to Waveguide dispersion

Dispersion due to Polarization mode dispersion

EE4110 Alphones 95

Total System Rise Time

Source rise time Receiver

rise timeIntermodal dispersion pulse spreadover link length

Intramodal or chromatic dispersionpulse spread over link length

EE4110 Alphones 96

Analog/Digital transmission systems

1) Examine the components that are available for a particular application

and see how these components relate to the system performance

criteria (such as dispersion and bit-error rate).

2) For a given set of components and a given set of system requirements,

we then carry out a power budget analysis to determine whether the

fiber optic link meets the attenuation requirements or if amplifiers are

needed to boost the power level.

3) The final step is to perform a system rise-time-analysis to verify that

the overall system performance requirements are met.

Page 25: fibre optics

EE4110 Alphones 97

Summary on Dispersion• Modal dispersion: different modes

propagate at different group velocities• Material dispersion: the index of

refraction of the medium changes with wavelength

• Waveguide dispersion: index change across waveguide means that different wavelengths have different delays

• Polarization mode dispersion: if waveguide is birefringent

98

Fiber Attenuation Characteristics

850 nmwindow

1.3 µmwindow

1.55 µmwindow

Main OH absorption

RayleighScatteringminimum

InfraredAbsorptionOf silica

EE4110 Alphones 98

EE4110 Alphones 99

ABSORPTION -- EXTRINSIC

Current metal impurity levels 0.1ppb1-10ppb metal concentration 1-10 dB/km

Metal Peak (nm) dB/km (for 1 ppb)Cr++ 625 1.6C++ 685 0.1Cu++ 850 1.1Fe++ 1100 0.68Fe+++ 400 0.15Ni++ 650 0.10Mn+++ 460 0.20V++++ 725 2.70

Transition metal absorption occurs due to (i) Electron transitions within the same ion(ii) Charge transfer from one ion to another

OH ions in glass give significant absorptionEE4110 Alphones 100

= 0.8-1.7 m Tails of UV/IR peaks can extend in the window

INTRINSIC ABSORPTION Occurs even in perfect material due to Electron excitations in the UV-band and Photon-phonon interaction (IR band)

Sets lower limit for attenuation

Leaves a transmission window near

attenuation in the 1.21.5 m range -Determined by Inherent IR absorption and OH ion concentration-0.5dB/km @ 1.3 m-0.2dB/km @ 1.55 m

IR absorption peaksSi- O 9.2 m

P-O 8.0 m

Ge-O 11.0 m

Page 26: fibre optics

EE4110 Alphones 101

Tf22

4

3

r kT1n38

k = Boltzmann constant, T = isothermal compressibility Tf = Fictive temperature,

LINEAR SCATTERING LOSSES(No change of upon scattering)

RAYLEIGH SCATTERING

Linear and dominant scattering loss mechanism in the low absorption window between UV/IR tails

Caused by refractive index variations (within distances ) that occurs due to- Microscopic density variations- Random molecular structure of glass- Inhomogeneous Structure and defects- Oxide contents in glass

Raleigh scattering loss (Single component glass)

41 rThus

in µmEE4110 Alphones 102

MIE SCATTERING

It is a forward process, caused by Inhomogeneities ,Irregularities at the core/cladding interface, Non-cylindrical fiberstructure and Strains/bubbles within the core or cladding.

Fiber diameter variations or interface scattering due to surfaceirregularities

Flaw

CORE

CLADDING

D1 D2

CLADDING

This can be reduced significantly by

-Improved fabrication process

- Fiber end polishing

EE4110 Alphones 103

PB (watts) = 0.0176(a)2dBPR (watts) = 0.236(a2)dB

a = Fiber radius (m) = Wavelength (m) = Source bandwidth (GHz) dB=Attenuation (dB/km)

NON-LINEAR SCATTERING

Stimulated Brillouin and Raman scattering effects occur above threshold power densities

Brillouin ScatteringBackward Process

Raman ScatteringForward Process

IncidentPhoton

Photon of Different

Acoustic Freq.

Phonon

Photon of Different

High Freq. Phonon

These effects are not easily observed in MM fibers due to large radius ‘a’ (making PB/PR very high)EE4110 Alphones 104

Power loss in a curved fiber

Page 27: fibre optics

EE4110 Alphones 105

MACROBENDING LOSS

At a bend, a mode is required to travel faster in the cladding (than in the core), and lost by radiation

Bending loss (Effective absorption coeff.)

R = Radius of curvature if the bend, a = Fiber radius, C= Constant

Critical Bend radius Rc

Bending losses high when R Rc

Micro-bends which are bends with R a, cause significant losses

a)NA(R

B

2

Ce

23

22

21

21

c

nn4

n3R

EE4110 Alphones 106

Microbending losses

EE4110 Alphones 107

Bending-induced attenuation • Example: 10mW of power is launched into an optical fiber that has an attenuation of =0.6 dB/km. What is the received power after traveling a distance of 100 km?– Initial power is: Pin = 10 dBm– Received power is: Pout= Pin– L=10 dBm – (0.6)(100) = -50

dBm

• Example: 8mW of power is launched into an optical fiber that has an attenuation of =0.6 dB/km. The received power needs to be -22dBm. What is the maximum transmission distance? – Initial power is: Pin = 10log10(8) = 9 dBm– Received power is: Pout = 1mW 10-2.2 = 6.3 W– Pout - Pin = 9dBm - (-22dBm) = 31dB = 0.6 L– L=51.7 km

nWmWPout 10110 1050

Page 28: fibre optics

EE4110 Alphones 109

Source-to-fiber coupling

EE4110 Alphones 110

t

s

AALog10

Large Area Source Small Area Source

Diameter Mismatch Loss

When Source area As Target Area At

Diameter Mismatch Loss = 0 dB

When Source area As Target Area At

Diameter Mismatch Loss (dB) =

EE4110 Alphones 111t

s

NANALog20

CladdingCoreLarge NA Source

NAs NAt

CladdingCoreSmall NA Source

NAs NAt

Numerical Aperture (NA) Mismatch Loss

When Source NA Target NA (NAs NAt)

NA Mismatch Loss = 0 dB

When Source NA Target NA (NAs NAt)

NA Mismatch Loss (dB) = EE4110 Alphones 112

Mechanical misalignments between fibers

Page 29: fibre optics

EE4110 Alphones 113

2

01

01

nnnn1Log10

n1n1 n0

Source Target

Fresnel Loss (air/glass) = 0.18dB 0.2dB

Z

2a

Transmission Loss due to Fresnel Reflection :

Fresnel Loss (dB) =

For air (n0 = 1.0) to glass (n1 = 1.5) interface:

Gap Loss :

Reflection coefficientAt fiber-air interface

EE4110 Alphones 114I

c

PPLog10

0.0 0.1 0.2 0.3 0.4 0.5z/a

Inse

rtio

n Lo

ss (d

B)

4.0

3.0

2.0

1.0

0.0

NA=0.8 NA=0.7

NA=0.5

NA=0.15

Pc = Coupled power, PI = Incident Power

Gap loss with

Source/Target gap = zSource diameter = 2aSource NA = NA

Gap Loss =

EE4110 Alphones 115

1NAForNA

az

341

NA1NAsinNA2

az1

PP 21

2I

c

2a d

Gap loss for source/target gapof z

Axial Misalignment Loss :

Core irregularities & off-center cores can also cause this problem

Axial misalignment loss with

Source/Target axial offset = dSource diameter = 2a

EE4110 Alphones 116

Axial offset condition

Page 30: fibre optics

EE4110 Alphones 117

I

cPPLog10

0.0 0.1 0.2 0.3 0.4 0.5d/a

Inse

rtio

n Lo

ss (d

B)

4.0

3.0

2.0

1.0

0.0

Pc = Coupled power PI = Incident Power

Misalignment Loss =

adForad41

ad1

ad

adcos2

PP 2

1

I

c

EE4110 Alphones 118

0.0 0.1 0.2 0.3 0.4 0.5Angle

Inse

rtio

n Lo

ss (d

B) 1.5

1.0

0.5

NA=0.5

NA=0.15

Angular Misalignment Loss : Occurs if the surfaces of the source and target are not parallel

Angular misalignment loss with Source/Target angle of and Source NA

EE4110 Alphones 119

Comparison of misalignment effects

EE4110 Alphones 120

Fiber cleaving

Page 31: fibre optics

EE4110 Alphones 121

Fiber end defects

EE4110 Alphones 122

Fusion splicing

Fitel_S121_Hand_Held_Splicer.wmv

EE4110 Alphones 123

Link Power/loss Analysis

EE4110 Alphones 124

Page 32: fibre optics

EE4110 Alphones 125

To illustrate how a link loss budget is set up, let us carry out a specific designexample.

We shall begin by specifying a data rate of 20 Mb/s and a BER of 10-9 (i.e. atmost one error can occur for every 109 bits sent).

For the receiver, we shall choose a silicon pin photodiode operating at 850 nm.We know that the required receiver input signal is -42 dBm (refer the sensitivityslide).We next select a GaAlAs LED that can couple a 50 μW (-13 dBm) averageoptical power into a fiber flylead with a 50 μm core diameter. We thus have a29 dB allowable power loss.Assume further that a 1 dB loss occurs when the fiber flylead is connected tothe cable and another 1 dB loss occurs at the cable-photodetector interface.Including a 6 dB system margin, the possible transmission distance for a cablewith an attenuation of αf=3.5 dB/km, then a 6.0 km transmission path ispossible.

Link Power Budget Example

EE4110 Alphones 126

Power Budget Diagram

EE4110 Alphones 127

FIBER MATERIALS & MANUFACTURING TECHNIQUES

PLASTIC FIBERS are cheap & easy to manufacture but have high attenuation

GLASS FIBERS – are made from low melting glasses

SILICA FIBERS – are made from pure SiO2- Refractive index n = 1.45 @ = 1 m- Wavelength range: 0.2 - 4.0 m- Addition of B2O3 lowers n (for SiO2)- Addition of GeO2 increases n EE4110 Alphones 128

1.50

1.48

1.46

1.44

0 5 10 15MOL %

F

ZrO2

TiO2

Al2O3 GeO2

P2O5

B2O3

n

Page 33: fibre optics

EE4110 Alphones 129

Direct Melt Techniques

Chemical Vapor Deposition (CVD) Techniques

FIBER MANUFACTURING TECHNIQUES

VAD NTT

OVPOCORNING

MCVDBELL LABS

PCVDPHILIPS

Starting Materials; SiCl4, SiF4, GeCl4, POCl3,BCl3, O2 ETC.

PREFORM - FABRICATION

FIBER DRAWING

Starting Materials: Pure Silica (SiO2) Powder or

Rods

EE4110 Alphones 130

FIBER DRAWING AND COATINGPrecision Feed

Mechanism

Preform

Diameter Monitor

Furnace

Coating Applicator

Curing Oven

Winding Drum

EE4110 Alphones 131Corning Cables

Fiber Fabrication Video EE4110 Alphones 132

LIGHT SOURCES AND DETECTORS

LIGHT SOURCES- Forward biased PN junctions made of III-V compound semiconductors- Light emission by radiative recombination of electrons & holes

DETECTORS- Reverse biased PN junctions made from variety of semiconductors- Light absorption creates electron/ hole pairs (electric current)

LIGHT SOURCES & DETECTORS IN OPTICAL FIBER SYSTEMS

SEMICONDUCTOR JUNCTION DEVICES

Laser Diode LED PIN Photodiode

Avalanche Photodiode

Page 34: fibre optics

EE4110 Alphones 133

Semiconductor Light Sources• A PN junction (that consists of direct band gap

semiconductor materials) acts as the active or recombination region

• When the PN junction is forward biased, electrons and holes recombine either radiatively (emitting photons) or non-radiatively (emitting heat). This is simple LED operation.

• In an LASER, the photon is further processed in a resonance cavity to achieve a coherent, highly directional optical beam with a narrow linewidth

EE4110 Alphones 134

ROOM TEMPERATURE SEMICONDUCTORS

Group IV Elements

III-V CompoundSemiconductors

II-VI CompoundSemiconductors

OTHERS

SiGeSe Te

GaAs, GaP, InPGa1-xAlxAsIn1-xGaxAs1-yPx

ZnSZnSeCdSCdSe

SiC

Diamond

Wavlength 0.8m 1-1.7mSourceMaterial

GaAlAs/GaAs InGaAsP/InP

DetectorMaterial

Si GeInGaAs/InP

135

Suppose Eg is given in eV. Compute the

output wavelength.

with Eg in eV and in m.

LIGHT EMITTING DIODES

In practice

136

Material (m) Eg (eV)

GaAs 0.9 1.4

AlGaAs 0.8 - 0.9 1.4 - 1.55

InGaAs 1.0 - 1.3 0.95 - 1.24

InGaAsP 0.9 - 1.7 0.73 - 1.35

GaInP 0.64 - 0.68 1.82 - 1.94

Common Characteristics

LIGHT EMITTING DIODES

Page 35: fibre optics

EE4110 Alphones 137

Forward bias condition

EE4110 Alphones 138

Reverse bias condition

EE4110 Alphones 139

1

kTeVexpII 0

Dark Current I = I0

Rev

erse

Cur

rent

Forward Voltage

Forw

ard

Cur

rent

IF

Reverse Voltage

VF

Light generated current I=I0 +IL

Electron-Hole Recombination

p- region Anode

n- regionCathode

I I I

THE pn JUNCTION

Basic equation:

kTeVexpII 0

140

The relationship between electrical

bandwidth and rise time is (approximately),

This relationship can be shown to be exact for

an RC low-pass filter (next slide). We will use it

for determining the frequency response of light

sources, light detectors, and the fiber.

LED OPERATING CHARACTERISTICS

i 10%90%

tr

Output

Page 36: fibre optics

141

Input Output

Typical values of tr for LEDs are a few ns to 250 ns.

LED OPERATING CHARACTERISTICS

Low-Pass RC Filter

R

C

EE4110 Alphones 142

LIGHT SOURCES - LED & laser diodes (LD)- PN junctions - Convert electrical input to light - Operated with forward biased- Made from III-V compound semiconductors (GaAs,

GaAsP, InxGa1-xAsyP1-y etc)

Light Emitting Diode (LED) has- Light by spontaneous emission

- Optical power LED current- Small bandwidth, long life, low cost- Spectral width of 30 to 60nm- Large beam divergence- Operation over wide temp range

Semiconductor Injection Laser Diode (ILD) has- High power output

- Coherent and narrow beam- Higher coupling efficiency

EE4110 Alphones 143

P p

~20nm

p

~4nm

PLED ILD

SPECTRAL WIDTHS

BEAM DIVERGENCE

Source

LED400

ILD50

Selection criteria - Output power , Peak wavelength p,Modulation bandwidth/speed, Spectral width , - Beam divergence 2m

EE4110 Alphones 144

m)eV(E

24.1Ehc

kTEhc

ggg

Electron-Hole Recombination

p- region Anode

n- regionCathode

I I I

Currenth

Acceptor LevelDonor Level

Conduction Bands pn

Valence Bands

LIGHT EMITTING DIODE (LED)

Light emission from Radiative recombination of carriers injected in forward biased pn junction

The wavelength & spectral width of LED are dependent on the bandgap Eg

Photon Wavelength isgiven by

Page 37: fibre optics

EE4110 Alphones 145

rrnr

nr

c

phint N

N

Radiative Photon Emission

CARRIER RECOMBINATION

Non-Radiative Phonon Emission

Nph = Rate of photon generation Nc = Rate of carrier injection across the junction

Recombination mechanisms depend on radiative recombination Lifetime (rr) and non-radiative recombination Lifetime (nr)

Internal Quantum Efficiency of an LED

phintphCintphph EeIENEN

Optical Flux

(For current I)

hceI

intEE4110 Alphones 146

2

s0

s0

nnnn

1- Back emission loss

Transmitted Beam

2- Total reflection loss

4-Absorption

ext < int Because of losses

3- FresnelReflection loss

Semiconductor

External quantum efficiency

2

s

0

nn

211

junctionthegsincroscarriersofNumberemittedfinallyphotonsofNumber

ext

EE4110 Alphones 147

Double-heterostructure configuration

EE4110 Alphones 148

Surface-emitting LED

Page 38: fibre optics

EE4110 Alphones 149

Edge-emitting LED

EE4110 Alphones 150

LED spectral patterns

)()(6.1 meVkT pp

- Spectral widthp - Peak wavelength

EE4110 Alphones 151

100

80

60

40

20

0

Opt

ical

Pow

er (%

)P o

Optical Power vs Forward Current

10 20 30 40 50IF (mA)

LED CHARACTERISTIC CURVES

)m(I24.1)W(P int

o

I F(m

A)

50

40

30

20

10

0 0.5 1.0 1.5 2.0 VF (Volts)

I-V Plot

kTeVexpII 0

EE4110 Alphones 152

0

0

0

IDEAL LASER RADIATION

Perfectly monochromatic (All waves have same )

Perfectly collimated (All waves are parallel)

Perfectly coherent (All waves have the same phase)

0 0, 0

Page 39: fibre optics

EE4110 Alphones 153

LIGHT ABSORPTION AND EMISSION

h E2E1E1

E2A Absorption

E1

E2

B Spontaneous Emission

h E2E1

h E2E1

E1

E2

C Stimulated Emission

hh

Light Absorption - resultsin jumping of electrons tohigher energy levels

Spontaneous Emission -Electrons jumprandomly to lowerenergy states

Photons are emitted withrandom phase

Stimulated Emission -External photonstimulates electronsjumps to lower energystates emitted photonshave same phase EE4110 Alphones 154

A Laser is like an electronic oscillator- Power Source- Active Device/Medium- Feedback- Amplification

Power Source

Laser Output

L

Fully Reflecting Mirror

Active Medium

Partially Reflecting Mirror

2nqL

nL2qcf n- refractive index

q - integer

Standing waves are formedwhen the cavity length Lequals integer multiple ofhalf wavelength

EE4110 Alphones 155

P

~6nm

100m

200m

300m

Cleaved facetActive Layer

CurrentMetal Contact

p-type

n-type

Febry-Perot laser

Laser

Good polishing provides more than 30% internal reflection that is necessary get the laser output

Light Amplification>Losses

Due to Radiation &Absorption

Lasing occurs when:

EE4110 Alphones 156

Fabry-Perot Laser Spectrum

Page 40: fibre optics

EE4110 Alphones 157

= Loss coefficientg = gain coefficient

Mirror reflection coefficients

r1r2 e2Le2gL 1

e2L

e2gL

r1r2

Under steady state:

Optical Gain = Total Loss in the cavity

For each round trip in the cavity

The fractional loss

The fractional gain

Gain due to mirror reflections

Under steady state

21th rr

1lnL21g Threshold gain EE4110 Alphones 158

The cavity also affects the output spectrum.

Example: The cavity resonant wavelength spacing is

LnLnc

coo

c 22

Thus22

LASER DIODE

co

c fc

2

Lncfc 2

EE4110 Alphones 159

Assume:

0 = 0.82 m, L = 300 m, n = 3.6

= 2 nm (laser linewidth)

Then

The number of longitudinal modes is approximately

LASER DIODE

24(0.82) 3.11 10 0.311

2(300)3.6c m nm

linewidthresonance spacingm

c

N

160

64.6311.02

mn

mnNm

In this example:

We conclude that there are six longitudinal modes.

LASER DIODE

Page 41: fibre optics

161

819 820 821

Gain

0.311 nm (nm)

(nm)

Cavity Resonances c

For the laser diode, we have:

(nm)c

Output Spectrum

LASER DIODE

EE4110 Alphones 162

Semiconductor Laser diodes

- pn junctions made from III-V semiconductors

- operate above a threshold current

- emit light by stimulated emission

- Optical power LD current, large BW(>10GHz)

- small spectral width, narrow beam

Population inversion is achieved by (i) Intense doping and (ii) High current density

EE4110 Alphones 163

100

80

60

40

20

010 20 30 40 50 60

IF (mA)

Opt

ical

Pow

er P

O(%

)

Threshold Current

Lasing

Non-Lasing

Laser diode power vs Current curve

th

21th

grr1ln

L211J

Jth – Threshold current density

- Gain factor depends on design specifications

Practical ILD characteristics posses kinks due to - Mode coupling/conversion- Crystal defects 164

+ + + + + + + + + +

Consider the following heterojunction laser diode:

Electron Energy n n p

1.8 eV 1.55 eV1.8 eV

- - - - - - - - - - - - - -- - - - - - - - - - - - - -

LASER DIODE

AlxGa1-x As AlyGa1-y As AlxGa1-x As

Electron Barrier

Hole Barrier

Injected Holes

Injected Electrons

x- mole fraction of Aluminium

Page 42: fibre optics

165

Energy Level Diagram

LASER DIODE

Electron Energy n n p

1.8 eV 1.55 eV1.8 eV

- - - - - - - - - - - - - -- - - - - - - - - - - - - -

+ + + + + + + + + +

Refractive Index

EE4110 Alphones 166

In the ternary alloy Ga1-x AlxAs the bandgap energy Eg it interfaces the materials GaAs (Eg =1.43eV) and Al As (Eg =2.16eV).

The energy gap in electron volts for values of x between zero and 0.37 can be found from the empirical equation

AlxxxE g

offraction mole

266.0266.1424.1 2

Given the value of Wg or Eg in (eV), the peak emission Wavelength (µm) can be estimated.

EE4110 Alphones 167

ILD External Quantum Efficiency

dIdP

Ee

edIhdP

gext

dIdPmext )(8065.0

thext g

Also 1 , int

So the external quantum efficiency can be estimated either from graphical characteristic results or analytically by the above expression

EE4110 Alphones 168

Temperature dependence

Ith is temperature dependent

Ith(T)I0exp(T/T0)

ConstantsDevice Temperature

Ith changes with aging also

Feedback mechanisms are necessary to obtain constant optical power output

Page 43: fibre optics

EE4110 Alphones 169

DFB and DBR lasers

Distributed Feedback Distributed Bragg ReflectorDFB DBR

Grating order: multiples of o/2nr of the grating1st order InP grating at 1.55m wavelength: ~0.25m period

6.5 170

Example: Wavelength Shift = 0.1 nm/oC

T1 = 27 °C

Gain

Cavity Resonance

Output

Cavity Resonance

Output

T2 = 30 °C

LASER DIODE OPERATING CHARACTERISTICS

171

Laser Diode Bandwidth

Laser diodes respond faster than LEDs

because the carrier lifetime (which

determines LED speed) is much longer

than the recombination delay due to

stimulated emission (which determines LD

speed) .

Typical laser diode rise times: 0.1 - 1ns

LASER DIODE OPERATING CHARACTERISTICS

172

p

n

Distributed Feedback Laser Diode

The DFB was developed to obtain a single-

longitudinal-mode laser diode .

DifferentMaterials

Grating

The grating acts as a filter, permitting only one of

the cavity’s modes to propagate.

Cleaved Facet

ActiveLayer

Metallization

Page 44: fibre optics

173

Laser Gain

Cavity Resonances

Grating Resonances

Laser Output

0

DISTRIBUTED-FEEDBACK LD

EE4110 Alphones 174

The grating resonances, according to Bragg’s

law, are those wavelengths for which the grating

period (illustrated on a preceding slide) is an

integral number of half-wavelengths. That is:

n0

is the wavelength in the diode, m is an integer

DISTRIBUTED-FEEDBACK LD

2m

0 is the free-space wavelength

EE4110 Alphones 175

02nm

The grating period then satisfies

DISTRIBUTED-FEEDBACK LD

0

2m

n

and the resonant wavelengths, as measured in

free space, are given by:

EE4110 Alphones 176

Example: Consider an InGaAsP DFB LD

0 = 1.55 m, n = 3.5, let m = 1 (first order)

Determine the grating period.

mn

m 44.0)5.3(2)55.1(2

20

DISTRIBUTED-FEEDBACK LD

mn

m 22.0)5.3(2

55.12

0

Let m = 2 (second order)

Page 45: fibre optics

EE4110 Alphones 177

DETECTORS

DETECTORS - Some form of PN junctions- Convert light into electrical output operated with

reverse biased- Have large bandwidth (GHz)

Most Detectors have- An insulating base- A casing- Electrodes for connections- Transparent glass window

Detector types - PIN & Avalanche photodiode (APD) made from

- Si (800nm band)- InGaAsP (1300nm band)- InGaAs (1550nm band) EE4110 Alphones 178

PHOTODETECTION MECHANISMSImportant Detector Properties

1. Responsivity: Power OpticalInput CurrentOutput

P i

Optical PowerPhotodetector

Electrical Current

/i A WP

EE4110 Alphones 179

2. Spectral Response:

Range of optical wavelengths over which the

detector is useful. It is often displayed as a

curve of responsivity versus wavelength. An

example appears on the next slide.

PHOTODETECTION MECHANISMS

EE4110 Alphones 180

PHOTODETECTION MECHANISMS

0.5 0.7 0.9 1.1

0.5

(m)

( / )A W

Silicon Photodiode Response

0

Page 46: fibre optics

EE4110 Alphones 181

3. Speed of Response:

Range of modulation frequencies over which

the detector is useful. As before, if tr is the

rise time, the bandwidth is (approximately)

rdB t

f 35.03

P

PHOTODETECTION MECHANISMS

Inputi

10%90%

tr

Output

182

Noise degrades signals. Without noise, itwould not matter how little optical powerarrived at the receiver.

Signal quality is measured in several ways.

Analog systems:The signal-to-noise ratio (SNR) is the measure.

Digital systems:The bit-error-rate (BER) is the measure.

EE4110 Alphones 183

Conduction Band

Valence Band

Eg

Ec

Ev

hEg

B

AC

Electron-Hole Pairs (EHP)

hEg

Light Absorption in a semiconductor creates

For absorption, the photon energy should be greater then the band-gap of the material

EE4110 Alphones 184

Electron-Hole Generation

p-region Anode

n-region

Cathode

I I I

Photo DiodeA light sensitive device that uses PN junction

Incident light generates excess minority carriers

PN Junction Current In Dark Under Light

Forward Current

Reverse Current

Large

Small

Unchanged

SignificantIncrease

Page 47: fibre optics

EE4110 Alphones 185

Photo Detection Principles

Device Layer Structure

Band Diagramshowing carriermovement in E-field

Light intensity as a function of distance below the surface

Carriers absorbed heremust diffuse to theintrinsic layer beforethey recombine if theyare to contribute to thephotocurrent. Slowdiffusion can lead toslow “tails” in thetemporal response.

Bias voltage usuallyneeded to fullydeplete the intrinsic“I” region for highspeed operation

EE4110 Alphones 186

Forw

ard

Cur

rent

IF

Reverse Voltage

Rev

erse

Cur

rent

I I0

Light generated current IL

1st Quadrant Rectification

Light Emission

3rd Quadrant Photo-

conductivemode

4th

Quadrant Photo-voltaic

mode

Is =I0 + IL

kTeVexpII 0

Forward Voltage

PN Junction Characteristics

EE4110 Alphones 187

Characteristics of Photodetectors

Number of Collected electrons 1Number of Photons *Entering* detector

/Number of Collected electrons 1 1Number of Photons *Incident* on detector /

Photo Current (Amps)

Wi

ph We p

o

e

i qR e

P h

R

1 1Incident Optical Power (Watts)

1 1ph o

ph Wp

o

Wp

oi RP

i q R eP h

R ePq h

• Internal Quantum Efficiency

•External Quantum efficiency

• Responsivity

•Photocurrent

Incident Photon Flux

Fraction Transmitted into Detector with reflectivity Rp

Fraction absorbed in detection region of distance W andAbsorption coefficient of

h

qe

EE4110 Alphones 188

PIN Photodiode

Structure

SiO2

Intrinsic Si layern-Si

p-Si

Light input

Metal Contact

Practical devices have P+NN+ or similar structure

PIN photodiodes haveWide depletion regionLow internal capacitance Wide frequency responseFast and linear response

Page 48: fibre optics

EE4110 Alphones 189

Absorption coefficient vs. Wavelength for several materials

Photodiode Responsivity vs. Wavelength for various materials

EE4110 Alphones 190

The Avalanche Photodiode

APD features

- Structure similar to PIN diode- High voltage operation- High internal gain- Large BW- Temperature sensitive- High cost

Under high reverse voltage 100V, carriers in the depletion region gain high energy to cause Avalanche Breakdown

Current gain ≥ 100 is achieved

Gain is dependent on- Bias voltage- Temperature

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Avalanche Photodiodes (APDs)

• High resistivity p-doped layer increases electric field across absorbing region

• High-energy electron-hole pairs ionize other sites to multiply the current

• Leads to greater sensitivity

• A high E-field in the depletion region causes carriers to have enough kinetic energy to “kick” new electrons from valence band up to conduction band –Avalanche Multiplication

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APDResponsivity

MRMhe

II

heR 0

p

mAPD

M Multiplication factorIM Multiplied currentIp Un-multiplied currentR0 Unity gain responsivity

The depletion layer widens with bias and reaches thru the -layer near the avalanche region

Reach-Through APD Structure

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PIN and APD Sensitivity

• An APD typically has 10 dB better sensitivity than a PIN.

• -36 dBm sensitivity at 2.5 Gb/s is possible.EE4110 Alphones 194

1-10m 10m-.1km

.1-1km 1-3km 3-10km 10-50km

50-100km

>100km

LD 10k

SLED MM APD 10-100K

PIN MM 100K-1M

LD GI 1-10M

LED 10-50M

PIN GI LD 50-500M

LD LD SM APD 500M-1G

MM GI >1G

Combination of the sources and fibers for different link capacity and distance

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Key system requirements

• The desired transmission distance

• The data rate or channel bandwidth

• The bit-error rate (BER)

• The cost and complexity

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Design Approach• Link power budget• Rise-time budget

1. In the link power budget analysis one first determinesthe power margin between the optical transmitter outputand the minimum receiver sensitivity needed toestablish a specified BER.

2. Once the link power budget has been established, thedesigner can perform a system rise-time analysis toensure that the desired overall system performance hasbeen met.

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Selection of components

1) Multimode or single-mode optical fibercore size, core refractive index profile, bandwidth or dispersion,

attenuation, numerical aperture or mode-field diameter

2) LED or laser diode optical sourceEmission wavelength, spectral line width, output power, effective radiating area, emission pattern, number of emitting modes

3) pin or avalanche photodiodeResponsivity, operating wavelength, speed or bandwidth, sensitivity

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199

WDM system

Multiplexer Add/dropMultiplexer

Demultiplexer

Transmitters Receivers

Drop Add

Localreceiver

Localtransmitter

LASER BEAM INJURIES

High power lasers can cause skin burns.

Lasers can cause severe eye injuriesresulting in permanent vision loss.

200

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201

Some common unsafe practices:preventable laser accidents

• Not wearing protective eyewear during alignment procedures

• Not wearing protective eyewear in the laser control area

• Misaligned optics and upwardly directed beams• Equipment malfunction• Improper methods of handling high voltage• Available eye protection not used• Intentional exposure of unprotected personnel• Lack of protection from non-beam hazards

202

Some common unsafe practices or preventable laser accidents

• Failure to follow (Laser) Safety Instructions• Bypassing of interlocks, door and laser housing• Insertion of reflective materials into beam paths• Lack of pre-planning• Turning on power supply accidentally• Operating unfamiliar equipment• Wearing the wrong eyewear

203

Guidelines to help prevent accidents during alignment

• The lowest possible/practical power must be used during alignments.

• Have beam paths that differ from the eye level when standing or sitting. Do not use paths that tempts one to bend down and look into the beam.

• All laser users must receive an introduction to the laser area by an authorised laser user of that area

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End of Part I

Optical Transmission Systems have made significant advances and are operational

both in land and under sea.

But much can be gained by improving optical integration and exploring optical

technologies to coexist with wireless transmission systems!!