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1. Introduction to Optical Systems

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 2/ 52 Historical perspective

• 1626: Snell dictates the laws of reflection and refraction of • 1668: Newton studies light as a wave phenomenon – Light waves can be considered as acoustic waves • 1790: C. Chappe “invents” the – It consisted in a system of towers with signaling arms, where each tower acted as a repeater allowing the transmission coded over hundred km.

– The first Optical telegraph line was put in service between Paris and Lille covering a distance of 200 km. • 1810: Fresnel sets the mathematical basis of wave propagation • 1870: Tyndall demonstrates how a is guided through a falling stream of water • 1830: The optical telegraph is replaced by the electric telegraph, (b/s) until 1866, when the was born • 1873: Maxwell demonstrates that light can be considered as

electromagnetic waves http://en.wikipedia.org/wiki/Claude_Chappe

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 3/ 52 Historical perspective

• 1800: In , Betancourt builds the first span between Madrid and Aranjuez • 1844: It is published the law for the deployment of the optical in Spain – Arms supporting 36 positions, 10º separation Alphabet containing 26 letters and 10 numbers – Spans: Madrid - Irún, 52 towers. Madrid - Cataluña through Valencia, 30 towers. Madrid - Cádiz, 59 towers.

• 1855: It is published the law for the deployment of the electrical telegraphy network in Spain • 1880: Graham Bell invents the “photofone” for voice RECEIVER The transmitter consists of a The receiver is also a made to be vibrated by parabolic reflector in which a the person’s voice, and then selenium cell is placed in its modulating the incident light focus to collect the variations beam towards the receiver. of the light intensity. Pictures: http://en.wikipedia.org/wiki/Photo phone

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 4/ 52 Historical perspective

• 1910: D. Hondros and P. Debye use glass rods as waveguides (circular cylindrical dielectric structures were patented by French in 1934 for voice transmission) • 1927: Baird and Hansell patent a system for images transmission through silica fibers • 1936: EEUU begins to use optical fibers in communications • 1960: First LASER (light amplification by stimulated emission of radiation) is presented • 1970: Corning Glass Works achieves optical fibers with 20dB/km at 633 nm • 1978: First singlemode optical fibers are built, achieving an attenuation of 0.2 dB/km at 1550 nm in 1979

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 5/ 52

Historical perspective

The Nobel Prize in Physics 2009 was awarded jointly to three American pioneers whose researches have supposed pillars of the modern Information Society: Charles Kuen Kao, Willard Sterling Boyle y George Elwood Smith.

“… for their contribution to the materials research and development that resulted in practial low loss optical fibers, one of the cornerstones of optical communication technology…”

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 6/ 52

Wavelength (m) Frequency (Hz) Bands Applications − 1024 10-15 − 10-15  rays Food irradiation Cancer therapy E.M. Spectral region used for − 1021 10-12 − 10-12 Optical Communications X rays Medical diagnosis 18 -9 − 10-9 10 (nm) − 10 (nmUltraviolet) Sterelization

Visible 15 -6 − 10-6 10 (m)− 10 (m) VISIBLE Nigth vision ULTRAVIOLET INFRARED

12  (nm) -3 − 10 (THz) Millimetrics 2 -3 10 3 104 10 (mm) − 10 (mm) EHF (30 – 300 GHz) Radar, space exploration 10 =1m Windows for optical SHF (3 – 30 GHz) Radar, Satellite communication communications 9 f (GHz) − 10 (GHz) UHF (300 – 3000 MHz) Tadar, TV, navegation 4 1 (m) − 1 (m) 106 105 10 VHF (30 – 300 MHz) TV, FM, police, mobile HF (3 – 30 MHz) Facsimil, short wave radio 6 E (eV) − 10 (MHz) MF (300 – 3000 kHz) AM, maritime radio, 103 (km) − 103 (km) 10 1 0.1 LF (30 – 300 Khz) Navegation, radio GaAs GaP Si Gap VLF (3 – 30 kHz) Navegation, sonar InP − 103 (kHz) energy 106 (Mm) − 106 (Mm) ULF (300 – 3000 Hz) Audio interval for telephony SLF (30 – 300 Hz) Submarine communication ELF ( 3 – 30 Hz) Metals detection − 1 (Hz)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 7/ 52 Frequency – Wavelength Duality

. Frequency scale or magnitude has been traditionally used in Engineering for desinging spectrum bands comprised between DC and region

. In Optical Communications, frequencies around 1014 Hz are used, resulting a little impractical four such magnitudes

. It is very common to use the wavelength scale, being the nanometer scale (1nm = 10-9 m) and micron scale (1µm = 10-6 m) the most used

. The specturm band usually employed in Optical Communications is comprised between 800 and 1600 nm f

Sinusoidal and monochromatic E.M. 1 wave propagated along z axis f1 2 f2

Approx. 1 2 

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 8/ 52

Optical Communication Systems

Optical Communications

Physic + Quantum + Communication Theory (1970, Procedings IEEE)

Physics of Materials + Quantum Physics + Information Theory + Nonlinear Optics + Interaction of Radiation with Matter

CHANNEL

Optical Receiver Transmitter Guided Communication  Non-guided communication  free space

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 9/ 52 Introduction

Carrier signal Unmodulated Laser (optical emision in , CW) spectrum Delta (ideally) Unmodulated LED spectrum t f f0 Modulating signal (Baseband electrical signal) Baseband process (directly spectrum or externally) t f Modulated signal (optical domain/format)

t f f0 TIME DOMAIN SPECTRAL DOMAIN Modulation is the process of varying one or more properties The modulating signal contains information of a high-frequency periodic waveform (carrier signal) to be transmitted

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 10/ 52

Modulation formats

Optical carrier: E(t) = A0 cos(0t − 0) ê “1” “0” “1” “0” “1” “0” Electric signal (Bit sequence) • A0: ASK, Amplitude-shift keying ASK • Phase modulation 0: PSK, Phase-shift keying

0: FSK, Frequency-shift PSK keying

• Polarization modulation ê: PoSK, information FSK coded by polarization state (not allowed in optical systems based on fiber)

. Most commercial systems are based on ASK (These systems are also known as on–off keying, OOK)  IM/DD ( and Direct Detection)

. First Differential PSK (DPSK) are being deployed recently

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 11/ 52

Free-Space Optics (FSO) Technology

. Nowadays, FSO systems are used for covering connection needs in last-mile access networks, point-to-point , as a redundant support in temporal or permanent links, etc.

. Provides robust links with the following advantages:

− RF / EM free interferences − High rate systems − Operation license not required − Quick deployment − Network survivability

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 12/ 52

RedIris: An example of Optical Networks in Spain

. Rediris is the Spanish National Research and Education ENTITIES IN THE COMMUNITY OF VALENCIA Network wich serves over 370 institutions, including all Spanish universities and the main public research entities. GVA Generalitat Valenciana, DICV.CSIC Delegación del CSIC en la Comunidad de . It is built over a dark fiber-based infraestructure with over Valencia, FIB Fundacion Valenciana de 12500 km of optical fiber for nation wide-coverage. Investigaciones, Institutos.CSIC, IBV.CSIC Instituto de Biomedicina de Valencia,, IN.UMH.CSIC Instituto de Neurociencias, INGENIO.CSIC Instituto de Gestión de la Innovación y del Conocimiento, IMPIVA Instituto de la Mediana y Pequeña Industria Valenciana, IVE Institut Valencia d'Estadistica, IVIE Instituto Valenciano de Investigaciones Economicas, UA Universitat d'Alacant, UCH-CEU Universidad Cardenal Herrera, UJI Universitat Jaume I, UMH Universidad Miguel Hernández de Elche, UPV Universitat Politécnica de Valéncia, UV Universitat de Valéncia.

Source: www.rediris.es

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 13/ 52 FTTH: An example of the evolution of Optical Networks in Spain

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 14/ 52 Operation Spectral Windows in Guided Optical Communications 1st window 2nd window 3rd window 850 nm 1310 nm 1550 nm

Optical amplifiers Attenuation

optical fiber

photodetectors

Fiber InGaAs Optical

Responsivity attenuation sources EDFA (W/A in sources) Si (dB/km) (A/W in detectors) AR

Tema 1: Introducción Tema GaAlAs

Ge InGaAsP Based on figure published in “Sistemas y Redes Ópticas de InGaAsP Comunicaciones” J. A. Martín Pereda”Ed. Pearson 2004 700 900 1100 1300 1500 1700 Wavelength (nm)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 15/ 52

Spectral Bands in single-mode optical fibers

. To provide a high capacity for optical transmission systems, it is desirable to allow as wide a range as possible for the system operating wavelengths.

. The choice of operating wavelength band depends on several factors: fiber type, source characteristics, system attenuation range, and of the optical path.

. The following spectral bands are defined by ITU-T Recommendations for single- mode fiber systems:

BAND DESCRIPTOR RANGE (nm) O Original 1260 - 1360 E Extended 1360 - 1460 S Short 1460 - 1520 C Conventional 1520 - 1565 L Long 1565 - 1625 U Ultra - Long 1625 - 1675

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 16/ 52

Optical propagation fundamentals

The optical fiber is a dielectric waveguide whose cylindrical geometry guiding and

propagation characteristics can be explained:

. accurately by electromagnetic theory (Maxwell Equations)

. easily and descriptive through Geometrical Optics . It does not take into account the nature of the wave (frequency, phase, power, ...) . Describes the trajectory of light (optical signal) through rays (Fermat Principles and Huygens) . This consideration is only valid if the light wavelengthcan be assumed much smaller

than the size of the objects passing through (apertures, lenses etc. ..) Tema 2: Fundamentos de de Fundamentos 2: Tema guiado, emisión y detección y emisión guiado, . It assumes the Maxwell equations approximation when → 0 Theory description restricted guided in multimode fibers ( diameter >> Wavelength)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 17/ 52

Guiding in optical fibers. Fundamentals

n 2

n1

Each guided with a different reflecting angle is called MODE

Guiding condition: n1 (core) > n2 (cladding)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 18/ 52

Guiding in optical fibers. Fundamentals

Meridional rays:   Rays describe paths contained in meridional planes (planes Meridional plane containing the optical fiber axis)

Skew rays:  When propagated rays describe paths which are not contained in  meridional planes

Based on figure published in “Fundamentals of ” B. A. Saleh, M. C. Teich ”Ed. John Wiley, 1991

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 19/ 52

Guiding in optical fibers. Fundamentals

n n 1 1 n n2 2

According to the geometry of the According to the refractive index dielectric structure profile

Cilindrical Cartesian Steep Continuous

Planar dielectric structure Homogeneous or Inhomogeneous or Optical Fiber Rectangular dielectric step index graded index structure

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 20/ 52

Cross section of an optical fiber

Buffer cladding core 2a 2b 2d (outer jacket)

Typical dimensional specifications: • Core diameter: – Single-mode fiber: 2a = 9 m (modal field diameter) – Multimode fiber: 2a = 50, 62.5 m (100 m) • Cladding diameter: 2b = 125 m (140 m)

Introducción a la fibra óptica fibra la a Introducción • Buffer diameter: 2d = 250 m

Typical values of the refractive index in silica fibers:

• Core: n1 ~ 1.48 Core dopping to achieve n1>n2  • Cladding: n2~ 1.475 total internal reflection  light propagation

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 21/ 52

Type of Optical fiber depending on the refractive index profile…

core Refractive index profile

cladding

Step index n r a  1 fiber optic n(r)  n r a  2

n(r) Law n(0)=n1   1/ 2  Graded index n2   r     r   n 1 2  n 1  r  a fiber optic n (r)  1     1     1    a     a    1/ 2  n1(1 2)  n1(1 )  n2 r  a

2 2 2 Index relative difference   (n1  n2 ) / 2n1

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 22/ 52 Geometric Optics Aproximation

Principle of propagation in step-index optical fibers

n n 2 0 2 Refracted ray Snell Law incident ray 1 r n1·sin1 = n2·sin2 Reflected ray n1 n1 > n2  1 < 2

Total internal reflection n n 0 2 2= /2 Critical angle: c  2= /2

 =  r  n2  1 c   (1= c = r) c  arcsin  n n1  1 

If 1> c  There is no transmission towards medium 2 Ray is completely reflected in medium 1  guiding funamentals in optical fibers

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 23/ 52

Geometric Optics Aproximation

air n2 cladding  n0=1

1=/2-    Fiber axis n1 core

 Air-core Interface  Core-cladding Interface

n0 sin  n1 sin  n1 cos1 n1 sin1  n2 sin2 2 2 = /2  n  n sin = n  2   =  1 c 2 cos c  1  1 c  n1 

Maximum value of  is given by 1= c 2 2 n0 sinm  n1 cosc  n1  n2  NA

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 24/ 52 meaning…

Acceptance Lost ray cone cladding

1 < c c guided ray Acceptance core cone m rad

Air or jacket or Partially lost ray overcladding

m = arcsin = arcsin (NA) n1 , n2 : core and cladding refractive index 2 2 NA  n1  n2 c: Critical angle  n2  n2     1 2  m: maximum acceptance angle  2n2   1  NA: Numerical aperture (generally, <<1) : refractive index relative difference n1  n2   NA  n1 2 n1 If n1 n2 , =(n1-n2)/n1  valid approx.

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 25/ 52 Numerical Aperture meaning… I()  I cos 0 (Lambertian source) This behaviour is related to the energy acceptance by the optical fiber 

LED Multimode fiber

Source with Emission surface isotropic emission

Laser Power emitted by the optical source: Single-mode fiber

 / 2 P  I( ) 2 sen d  I 0  0 0 Fraction of the emitted power which is injected into the optical fiber: m P NA2 2 0 Power Fraction coupled into P  I( ) 2 sen d  I0sen m   2  2 0 no an optical fiber  NA

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 26/ 52

Modal field diameter

Evanescent field Petermann I a E(r) 2  r3 E(r) dr r=0 2 0 wI    r E(r) 2 dr 0 r Petermann II Determines the confinement degree of the a fundamental mode in the core. There are  rE2 (r)dr several definitions, but the most used are 2 0 wII   2 the Petermann I and II  dE(r)   r  dr 0  dr 

E0 • Defined by ITU G.652 recommendation. • It is assumed a gaussian radial distribution of the optical intensity. 푒−2E • The modal field radius w corresponds to the 0 radius for which the value of the electrical Modal field field drops a factor 1/e2 from the maximum diameter, 2w

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 27/ 52 Ligth propagation in optical fibers

Step index Multimode Fiber

n1

n2

Graded index Multimode Fiber Refractive index profile

n1

n2

Step-index Singlemode Fiber

n1

n2

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 28/ 52

Ligth propagation in Step-index Multimode Fiber:

Dispersion effect (intermodal)

Pulse Pulse received transmitted

Introducción a la Fibra Óptica Fibra la a Introducción Step-index Multimode Fiber

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 29/ 52

Ligth propagation in Single mode Fiber: Dispersion effect (intramodal or chromatic)

Transmitted pulse Dispersive Medium: n(f) Received pulse

v (f) = c / n (f)

t t delay

Light source wavelength Photodetector

Single-mode optical fiber 1 0 1 1 1 1 threshold threshold

t t

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 30/ 52

Intramodal (or chromatic) dispersion effect

Intramodal dispersion appears as a result of the dependence of the frequency on the

fundamental mode propagation constant 01. Then:

휷ퟎퟏ = 휷ퟎퟏ(흎) = 휷ퟎퟏ (흀)

This dependence is usually modeled by a Taylor series approximation:

풅휷 ퟏ 풅ퟐ휷 ퟏ 풅ퟑ휷 휷 흎 = 휷 흎 + 흎 − 흎 + 흎 − 흎 ퟐ + 흎 − 흎 ퟑ + ⋯ ퟎ 풅흎 ퟎ ퟐ 풅흎ퟐ ퟎ ퟔ 풅흎ퟑ ퟎ 흎ퟎ 흎ퟎ 흎ퟎ

Group delay per unit length tg/L Dispersive terms

30 Minimum Dmat This behaviour is produced by two mechanisms: 20

material dispersión 10 a) The dispersive nature of the material wavelength D which makes up the optical fiber  0 material dispersion (Dmat) Dwg -10

Real Minimum D (pseg/Km.nm) D

-20 dispersión b) The effect produced when a waveguide is wavelength embeded in a dielectric structure  -30 1.1 1.2 1.3 1.4 1.5 1.6 waveguide dispersion (Dwg) Wavelength (µm)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 31/ 52

Dispersion management in an optical fiber by the modification of the refractive index profile

cladding

core

0 0

Dispersion Dispersion wavelength wavelength

. Raised or depressed cladding for dispersion control. . Index profile rectangular for standard fibers. . Triangular index profile for dispersion-shifted fibers.

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 32/ 52 Wavelength dependence of the dispersion in Single-mode Fibers

20

Standard Single-mode fiber

)] optimized @ 1310 nm )]

10

km.nm km.nm

/( Flattened dispersion fiber

/(

ps

[

ps

[

0

- 10

Dispersion Dispersion Shift dispersion fiber

- 20 1300 1400 1500 1600 Wavelength [nm]

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 33/ 52

Single-mode Optical Fiber Types

STANDARD SINGLE-MODE FIBER (SSMF)

. Mainly designed to be operated in the 2nd window (1.3m): – Chromatic dispersion negligible (D0 ps/km.nm) – Atenuation 0.5 dB/Km  It could be a problem over long distances

. In the 3rd window (1.55m): – Typical chromatic dispersion D20 ps/km.nm BER increases over long distances – Low atenuation   0.2 dB/km

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 34/ 52

Single-mode Optical Fiber Types

SHIFTED DISPERSION FIBER (SDF)

. Appears as a result of technological advances in optical sources, photodetectors and amplifiers in the fiber’s minimum atenuation region (3rd window,  1.55m):

– The modification of optical fiber parameters such as a, n1, n2, and core doping are required to shift the dispersion profile – Chromatic dispersion is negligible at 1.55m (D  0 ps/km.nm) – Well suited for systems operating at high bit rates over long distances – The lack of dispersion can cause the raising of nonlinearities Solution: To keep low dispersion levels (residual values)  flattened dispersion fibers

FLATTENED OR NON-ZERO DISPERSION FIBER (NZDF)

. Low and nearly constant levels of dispersion (D1-5 ps/km.nm) in   [1.3-1.6 m] . Avoids the raising of nonlinearities keeping the advantages of shifted fibers over a wide spectral band

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 35/ 52 Types of single-mode fiber in common use today

Description IEC Spec. ITU Spec. TIA Spec Standard Single- B1.1 G.652 OS1 mode Fiber Dispersion Shifted B2 G.652 Fiber Non-Zero Dispersion B4 G.655 Shifted Fiber

Bend-Insensitive G .657 Fiber

Low Water Peak B1.3 G.652 OS2 Fiber

Cutoff Shifted Fiber B1.2 G.654

• ISO (International Organization for Standardization) and IEC (International Electrotechnical Commission) collaborate on several Joint Technical Committees and addresses the electronics and industries. • TIA (Telecommunications Industry Association) is comprised of the American National Standards Institute (ANSI) and manufacturers who are suppliers to the telecom industry. • ITU (International Telecommunication Union)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 36/ 52 Polarization state variation in single-mode fibers Birefringence effect

y y Initial y Experimented Experimented polarization refractive refractive index n index n state Polarizations of the y x

fundamental mode HE11 in a single-mode fiber x x x Vertical mode Horizontal mode x y 01  01 Polarization state varies due to the effect of birefringence along the optical fiber

x y  B  n01  n01 y Typical values B = 10-6 – 10-5

The presence of PMD implies a limit in the maximum capacity transmitted through Pulse broadening as a long-haul and high bit rate links based on result of PMD single mode optical fiber (Polarization mode t dispersion) x

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 37/ 52 Dispersion effect in optical communications links

LED spectrum used for low bit rate applications The combination of Dispersion and  40 nm source’s spectral width imposes the maximum B x L parameter 3 10 600 Gb/s  Multimode specturm of a Fabry-Perot Laser used for moderate bit rate applications D = 0 102

 2 nm 10 Gb/s

101 (Gb/s)

 Single-mode specturm of a Distributed Feedback D = 16 ps/(km·nm) laser used for high bit rate applications rate 100 600 Mb/s  0,2 nm Bit

10-1  65 Mb/s Single-mode spectrum of a Distributed Feedback laser used for homodine detection applications 10-2 20 Km 101 102 103 104 105  0,00002 nm Length of the (Km)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 38/ 52

Summary of characteristics and use of basic optical fibers

Refractive Core Cladding index Longer Higher bit Type of fiber diameter diameter Relative Application distances rates (µm) (µm) diference (%) Long distances 9/125 and hig bit (Singlemode SI)  9 125 0,1 – 0,2 rates (long-

haul)

50/125 125 Moderate (Multimode GI) 50 1 – 2 distances and bit rates 62.5/125 125 1 – 2 Local area (Multimode GI) 62,5 networks

Introducción a la Fibra Óptica Fibra la a Introducción Reduced 100/140 140 1 – 2 distances in 100 (Multimode SI) local area networks

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 39/ 52

Problems in an optical link (i)

Problem or parameter to be tested Instrumentation

Low signal power at the source’s Optical power meter output or receiver’s input Loss or attenuation in fibers, cables, Optical power meter, Optical Time connectors or splices Domain Reflecometer (OTDR) Wavelength fluctuations Optical Spectrum Analyzer Loss by ligth scattering effect OTDR Finding / location of failures OTDR Dispersion efects tester / network Introducción a la Fibra Óptica Fibra la a Introducción simulators

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 40/ 52

Problems in an optical link (ii)

Typical failures Causes Instrumentation Solution

Connector with Damaged, scratched Microscope / probe Cleaning or polishing defects of dirty ferrule Localized loss or Cable with bends OTDR Proper Alignment / attenuation extension Distributed loss of Cable with defects or OTDR Reduction of torsion / attenuation presence of torsion / traction by proper traction alignment or cable replacing Total loss of signal Fiber/cable cut OTDR / optical power Splicing, connectoring meter or replacement Splice with loss Damage or OTDR / optical power Mechanical splice displacement meter (open, relocate + between fiber ends index matching gel) during splacing Fused splice (replacing the former)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 41/ 52 Operational test/check of an optical link by using an optical power meter

Optical fiber spool Optical fiber spool

connector

-3.08dBm 1310nm

Optical power meter

Optical source (Láser @ 1310nm)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 42/ 52 Operational test/check of an optical link by using an optical power meter

Optical fiber spool Optical fiber spool

connector

FIBER CUT!!!

LOW SIGNAL

Optical power meter

Optical source (Láser @ 1310nm)

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 43/ 52 Operational test/check of an optical link by using an Optical Time Domain Reflectometer

Optical Optical fiber spool fiber spool

Fiber end Connector Splice OTDR screen

OTDR input pulse

Splice

(non reflexive Connector (dB) event) (reflexive event)

Attenuation coeff. (depends on Fiber end

Attenuation the fiber type and )

http://www.exfo.com/Products/Field-Network- Distance (km) Testing/Optical/OTDR-and-iOLM-Testing/FTB-730/

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 44/ 52

Testing the state of optical connectors

Connector in Dirty Connector good condition

Dirty and scratched Connectors Optical inspection probe

Microscope Damaged connectors http://www.exfo.com/en/Products/Field-Network- Testing/Optical/Fiber-Inspection/FIP-400/

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 45/ 52

Quality Evaluation in IM/DD systems BER – Q parameter - SNR

Current at the output: Considering:

1) Temporal length of pulses matchs bit High level “1” 2 max p (i) ”1” interval to avoid ISI. imax P(1/0) 2) There is no ithreshold limitation on the receiver’s bandwidth i P(0/1) min p (i) Low level “0” ”0” 2 min 3) Noise sources presents gaussian p.d.f. 𝑖−𝑖 2 1 − 𝑖 2휎 2 Probability density function (pdf) 푝𝑖 푖 = 푒 𝑖 2휋휎𝑖 In analogic systems, noise sources are characterized by the root mean square (rms). However, in digital systems, it is necessary to know the probability density function for each noise source.

Optical Communication Systems and Networks Lecture 1: Introduction to Optical Communication Systems 46/ 52

Quality Evaluation in IM/DD systems BER – Q parameter - SNR

Bit error rate 1 Pe  P1 0P0  P0 1P1  P1 0  P0 1 (BER) 2

 ith P 1 0  p i di P 0 1  p i di,    min      max   ith 

Considering the complementary 2  2 erfcx  et dt. error function, erfc(x)  x

1 1 푖푚푎푥 − 푖푡ℎ 1 푖푡ℎ − 푖푚𝑖푛 푃푒 = 푒푟푓푐 + 푒푟푓푐 2 2 2휎 2 2휎 푚푎푥 푚𝑖푛

Where it is assumed a random sequence of equiprobable “0” and “1” bits P(0)=P(1)=1/2

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Quality Evaluation in IM/DD systems BER – Q parameter - SNR

The optimum threshold, ith, is obtained when P(1/0)=P(0/1): 𝑖 −𝑖 𝑖 −𝑖 푄 ≡ 푚푎푥 푡ℎ = 푡ℎ 푚𝑖푛 휎푚푎푥 휎푚𝑖푛

Substituting the optimum threshold in the Q definition:

휎푚𝑖푛 · 푖푚푎푥 − 휎푚푎푥 · 푖푚𝑖푛 푖푚푎푥 − 푖푚𝑖푛 푖푡ℎ = 푄 ≡ 휎푚푎푥 + 휎푚𝑖푛 휎푚푎푥 + 휎푚𝑖푛

In case Q>10, Pe can be approximated 1 푄 by the expression: 푃 = 푒푟푓푐 푒 2 2 푄2 1 − −9 푃푒 = 푒 2 푃푒 ≤ 10 → 푄 ≥ 6 2휋푄

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Quality Evaluation in IM/DD systems BER – Q parameter - SNR

For a fixed BER: 100 푖푚푎푥 − 푖푚𝑖푛 Signal -2 푄 = 10

휎 + 휎 푚푎푥 푚𝑖푛 Noise -4 10 BER = 10-9  Q=6 -12 10-6 BER = 10  Q=7 Most used Usually, in optical communication 10-8 values in Opt. systems thermal noise dominates rate error Bit Systems -10 over shot noise 10 pdf p = p   =  10-12 min max min max 0 1 2 3 4 5 6 7 8 Extinction ratio negligible: imax >> imin Quality parameter, Q

푖푚푎푥 1 푆 푄 = = 2휎푚푎푥 2 푁

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Fiber optic properties

Main goal: to take advantage of optical fibers properties

. Great product bandwidth x distance (B x L)

. Transparent to signal format / service

. Low loss (0.18 dB / km, constant with the optical carrier frequency) . Low cost (raw material abundant - SiO2 -) . Low weight and volume . Strength and flexibility . Immunity to electromagnetic interference

Tema 1: Introducción 1: Tema . Security and Privacy . Corrosion Resistance . Need to exploit/take advantage of fiber bandwidth

− development of new optical communications systems to satisfy traffic demands

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Impairments to be considered in optical communication systems

Related to signal Related to signal amplitude velocity NONLINEAR EFFECTS

ATENUATION SCATTERING PHASE DISPERSION SRS & SBS MODULATION PMD

INTRINSIC EXTRINSEC FOUR WAVE MIXING INTRAMODAL INTERMODAL (CHROMATIC) ABSORTION RAYLEIGH & MIE (IR, UV, OH-) SCATTERING

CURVATURES IMPURITIES MATERIAL WAVEGUIDE (Macro & Micro) (Cr, Co, Ni, Fe…)

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Impairments to be considered in optical communication systems

Cross-talk (inter or intra-band) Noise (quantum, RIN, ASE…) Fiber dispersion Atenuation Nonlinear effects (refractive index dependence with optical intensity)

Overall effect increases as impairments are propagated and accumulated over long dinstances, limiting the bit rates and the geographical reach of the network

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Optical Communication Systems and Networks