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Semester II 2009/10 Dr Mohammad Faiz Liew Abdullah 1 MKE 1083 Advanced Optical Communication Dr Mohammad Faiz Liew Abdullah Lecture : Fiber Optics Links and Network Department of Communication Faculty of Electrical and Electronic Engineering University Tun Hussein Onn Malaysia

Lecture Fiber Optics Links and Networks

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  • Semester II 2009/10 Dr Mohammad Faiz Liew Abdullah

    1

    MKE 1083 Advanced Optical Communication

    Dr Mohammad Faiz Liew Abdullah

    Lecture : Fiber Optics Links and Network

    Department of CommunicationFaculty of Electrical and Electronic Engineering

    University Tun Hussein Onn Malaysia

  • Semester II 2009/10 Dr Mohammad Faiz Liew Abdullah

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    PON

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    Passive Optical Network(PON) Topologies

    BUS

    RING

    STAR

    No O/E conversionPassive optical couplers

    Folded Bus, Tree and Mesh Networks also exist

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    Linear bus topology

    ,

    10 log ( 1) 2 ( 2) 2o C thru TAP iL N

    P N L NL N L L NLP

    = + + + +

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    Attenuators

    Singlemode Variable Attenuator Repeatable, variable attenuation from 2 to 40dB

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    Attenuators - contd.

    iBandpass 1310/1550nmiFC, SC, ST, and D4 stylesiWavelength independentiPolarization insensitiveiLow modal noise

    In line attenuatorDual window

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    Optical CouplersiOptic couplers either split optical signals into multiple paths or

    combine multiple signals on one path. iThe number of input (N)/ output (M) ports, (i.e.s N x M size)

    characterizes a coupler. iFused couplers can be made in any configuration, but they

    commonly use multiples of two (2 x 2, 4 x 4, 8 x 8, etc.).

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    Coupler

    iUses Splitter: (50:50) Taps: (90:10) or (95:05) Combinersi An important issue:

    two output differ /2 in phasei Applications:

    Optical Switches, Mach Zehnder Interferometers, Optical amplifiers, passive star couplers, ...

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    Directional Coupler

    A directional coupler forms the basis of many distribution network.

    1 2

    34

    We assume that power P1 is incident on port 1 of the coupler.

    This power will divide between ports 2 and 3 according to he desired splitting ratio.

    Ideally, no power will reach port 4, the isolated port.

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    Directional Coupler - cont

    A directional coupler forms the basis of many distribution network.

    1 2

    34

    Throughput loss

    Tap loss1

    210log10 P

    PLTHP =

    1

    310log10 P

    PLTAP =

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    Directional Coupler - cont

    A directional coupler forms the basis of many distribution network.

    1 2

    34

    Directionality/ Cross talk

    Excess loss

    Coupling Ratio Splitting Ratio (in dB)

    1

    410log10 P

    PLD =

    32

    110log10 PP

    PLE +=

    32

    310log10 PP

    PCR +=

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    Coupler working principle

    Put the cores close enough together to get a coupling effectPut the cores close enough together to get a coupling effect

    All now depends on the length of the coupling sectionAll now depends on the length of the coupling section

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    Common commercial devicesCommon commercial devices

    Planar Waveguide CouplerPlanar Waveguide Coupler

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    ( )( )CzPPCzPP

    202

    201

    sin

    cos

    ==

    Ccoupling coefficient

    222 fiber coupler2 fiber coupler

    PP44

    PP00 PP11

    PP33 PP22Z

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    Coupler - Integrated Waveguide Directional Coupler

    P2 = P0 sin2 kz P1 = P0 - P2 = P0 cos2 kz

    k = coupling coefficient = (m + 1)/2

    P0

    P1

    P2

    P3

    zP4

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    Throughput port

    Tap port

    Coupling procedureCoupling procedure

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    3dB coupler

    3dB 3dB couplercoupler

    Coupler - symbol

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    Star Couplers

    iOptical couplers with more than four ports. iTypes of star couplers:

    transmission star couplerthe light at any of the input port is split equally through all output ports.

    reflection star coupler

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    Star coupler

    PP11

    PPNN

    PPii

    11

    ii

    NN

    (P1+P2++PN)/N(P(P11+P+P22+++P+PNN)/N)/N

    Star Coupler: N input are mixed and made Star Coupler: N input are mixed and made available on 8 outputsavailable on 8 outputs

    Reflective Coupler: input can be on any fiber and Reflective Coupler: input can be on any fiber and output is split equally among all fibersoutput is split equally among all fibers

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    Reflection Star Couplers

    The light arriving at port A and is reflected back to all

    ports. A directional coupler

    separates the transmitted and received signals.

    Source: Australian Photonics CRC

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    Fibre Star CouplerCombines power from N inputs and divided them between M outputs

    NN

    CR 1010 10110 loglog =

    =Coupling ratio

    = Ni iout

    ineP

    PL

    ,

    log1010Excess loss

    1

    N

    1

    N

    P1

    PN

    Power at any one output ).......(, Nio PPPnP ++= 211

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    Star Coupler - 8 X 8

    12345678

    1, 2, ... 8

    1, 2, ... 8

    No of 3 dB coupler NNN dBc 23 2 log=

    N/2

    N2log

    Star couplers are optical couplers with more than four ports

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    Star Coupler - 8 X 8 - contd.

    i If a fraction of power traversing each 3 dB coupler = Fp, where 0< Fp < 1.

    Then, power lost within the coupler = 1- Fp.

    Excess loss )(log log Npe FL 21010=

    NN

    CR 1010 10110 loglog =

    =Coupling ratio(splitting loss)

    Total loss = splitting loss + excess loss

    NFLT 10103223110 log)log.( =

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    Example:

    Consider a commercially available 32x32 single mode coupler made from a cascade of 3dB fused fiber 2x2 couplers, where 5% of the power is lost in each element. Find the total loss experienced by a signal as it passes through the coupler.

    Solution:

    Total Loss ( )10 1 3.322log0.95 log3216.2dB

    = =

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    port1port1port2(50%)port2(50%)port3(50%)port3(50%)

    But light entering on port2 will exit on port1 But light entering on port2 will exit on port1 attenuated attenuated by 50%(3dB)by 50%(3dB)! Thus if we try to combine two input ! Thus if we try to combine two input signals by using a Ysignals by using a Y--junction, the signals are combined junction, the signals are combined but each signal but each signal will lose half of its powerwill lose half of its power!!

    Y coupler (splitter)

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    Y- Couplers

    1 X 8 coupler

    Y-junctions are 1 x 2 couplers and are a key element in networking.

    IiI1

    I2

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    Wavelength Selective Coupling/Splitting

    The period of the shift is different for the two The period of the shift is different for the two different wavelengths. Each coupler/splitter must be different wavelengths. Each coupler/splitter must be designed for the particular wavelengths to be used. designed for the particular wavelengths to be used.

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    Types of couplers

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    Coupler - Characteristics

    Design class No. of CR Le Isolationport (dB) directivity

    (-dB)

    2 x 2 2 0.1-0.5 0.07-1.0 40 to 55Single mode

    2 x 2 2 0.5 1-2 35 to 40Multimode

    N x N 3-32 0.33-0.03 0.5-8.0Star

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    Example of commercial coupler

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    Example

    A 2x2 biconical tapered fiber has an input optical power level of Po=200W. The output powers at the other three ports are P1=90W, P2=85W and P3=6.3nW. Calculate the splitting/coupling ratio, excess loss, insertion loss and crosstalk.

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    Solution:

    2

    1 2

    85100% 100% 48.6%90 85

    PP P

    = = + + 0

    1 2

    20010log 10log 0.5890 85

    P dBP P

    = = + +

    1

    20010log 10log 3.4790

    oP dBP

    = =

    2

    20010log 10log 3.7285

    oP dBP

    = = 3

    3

    0

    6.3 1010log 10log 45200

    P dBP

    = =

    Splitting Ratio =

    Excess loss =

    Insertion loss(port 0 to port 1)=

    Insertion loss(port 0 to port 2)=

    Crosstalk =

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    Splitters

    i The simplest couplers are fiber optic splitters. i They possess at least three ports but may have more than 32 for more

    complex devices. i Popular splitting ratios include 50%-50%, 90%-10%, 95%-5% and 99%-1%;

    however, almost any custom value can be achieved. i Excess loss: assures that the total output is never as high as the input. It

    hinders the performance. All couplers and splitters share this parameter. i They are symmetrical. For instance, if the same coupler injected 50 W into

    the 10% output leg, only 5 W would reach the common port.

    OutputOutput

    Input

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    9.4 Switches

    a two-position switch a bypass switch

    Fiber optic switches reroute the optic signals. Switches are useful in distribution networks, measuring equipment, and experiments.

    switches

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    1

    2

    3

    FIBERS

    GRIN LENSES SLIDING

    PRISM

    Sliding-prism, two-position switch

    Two-position switch

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    Bypass switch

    1

    2 3

    4

    BYPASS STATE

    1

    2 3

    4

    BRANCH STATE

    In the bypass state, ports 1 and 4 are coupled; ports2 and 3 are isolated.In the branch state, ports 1 and 4 are isolated; ports2 and 3 are coupled

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    MEMS Switches

    iMEMS----Micro-Electro-Mechanical System MEMS Mirrors

    The MEMS optical switch requires the capability to produce arrays of tiny movable mirrors to deflect light beams in a desired manner.

    These mirror can be constructed in two ways:

    MIRROR

    HINGE

    SUBSTRATE SUBSTRATE

    HINGE

    MIRROR

    As thin-film mirrors As bulk mirrors

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    MEMS Switches

    MIRROR

    HINGE

    SUBSTRATE SUBSTRATE

    HINGE

    MIRROR

    As thin-film mirrors As bulk mirrors

    iThe mirror movement can be controlled in a number of ways: electrostatic, electromagnetic, piezoelectric, or thermal.

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    MEMS Switches

    MEMS switches are constructed in 2D and 3D In 2D MEMS switches, the light travels in a plane defined as the plane

    of the mirror array.

    INPUT FIBERS

    COLLIMATORS

    MIRROR DOWNOUTPUT FIBERS

    MIRROR UP

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    MEMS Switches

    iThe 3D MEMS switch is a bit more complicated to construct than the 2D switch. The switch insertion loss and the switching time are two

    important property. The application of the MEMS switches-----OXC (Optical

    Cross Connect)

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    I/O Fibers

    Imaging LensesReflector

    MEMS 2-axis Tilt Mirrors

    MEMS arraysMEMS arrays

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    1N MEMS Switch11N MEMS SwitchN MEMS Switch

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    Fiber Bragg Gratings (FBG)

    FBG is a periodic refractive index variation (Period ) written along the fibre (single-mode) core using high power UV radiation.

    All the wavelengths satisfying the condition 0 = 2 neff are reflected

    If the optical period is 0 / 2, the grating reflects wavelength 0selectively. Useful in filtering communication channels in or out.

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    Laser BeamLaser Beam

    --11 +1+100

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    lengthlength

    Period Period

    = effn2Selected Selected wavelengthwavelengthcore indexcore index

    Grating Grating periodperiod

    Fiber Bragg GratingsFiber gratings are a periodic variation in the refractive index of the core as measured along its axis.

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    ))00 ++++== 22cos(cos( ++ zzAAnnNN nneffeffcorecoreFiber gratingFiber grating

    0nN core =FiberFiber

    Fiber Bragg Gratings

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    Applications of the Bragg grating

    Filter for WDM systemWavelength-selective mirrors for fiber lasersWavelength stabilization of laser diodesStrain and temperature measurements in

    composite fiber optic sensors.Dispersion compensationGain stabilization and equalization in erbium-

    doped fiber amplifiersFixed filterTunable filters

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    Filter for WDM system

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    wavelength

    For a given grating period a particular wavelength (frequency) of light is reflected. In this case yellow light will be reflectedIf the grating spacing is changed (e.g. reduced due to compression of the fibre or a drop in temperature} the wavelength of the reflected light changes. In this case it becomes higher and reflects blue light

    In practice the colour shifts will be much finer than those illustated

    Optical fibre

    Grating pattern etched into body of fibre

    Detector

    http://www.co2sink.org/ppt/fbganimation.ppt

    Fiber Bragg Gratings (FBG)

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    Optical Isolator

    i laser diodes are particularly sensitive to light energy reflected back from the rest of the system. The reflected light increases the noise in the emitted beam, degrading system performance.iAn optical isolator will ensure a low level of return to the laser

    diode. It is a one-way transmission line. It will allow propagation in only one direction along the fiber.iInsertion loss:

    Low loss (0.2 to 2 dB) in forward direction

    High loss in reverse direction:20 to 40 dB single stage, 40 to 80 dB dual stage)

    iReturn loss: More than 60 dB without connectors

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    IsolatorsIsolators

    Isolator/coupler hybridsIsolator/coupler hybrids

    Example Isolator

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    Optical Circulators

    iBased on optical crystal technology similar to isolators Insertion loss 0.3 to 1.5 dB, isolation 20 to 40 dB

    iTypical configuration: 3 port device Port 1 -> Port 2 Port 2 -> Port 3 Port 3 -> Port 1

    Agilent Tech. LW Div.

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    Optical Add Drop

    2

    3

    1, 2, 3, 4,1, 3, 4,

    2 2

    1, 2, 3, 4,1

    3 port circulator

    FBGcoupler

    Dropped w

    avelength

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    Operation

    iAn input signal at port 1 is sent on out at port 2. iAll wavelength except 2 pass through the FBG.

    iSince 2 satisfies the FBG condition, it gets reflected, enters port 2 of the circulator, and exits at port 3 as a dropped wavelength.iNew information can be transmitted using 2 to the

    network by coupler.

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    Multiplex & Demultiplex

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    DWDM

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    Baseband Transmission

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    Baseband Transmission

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    Example : Analog to Digital

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    Data Rate & Bandwidth

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    Transmission Impairments

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    Modulation : Digital Data, Analog Signal

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    Amplitude Modulation and ASK

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    Frequency Modulation and FSK

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    Phase Modulation and PSK

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    Amplitude Shift Keying

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    Frequency Shift Keying

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    Phase Shift Keying

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    Multiple Access Methods

    iTDMA Time Division Multiple Access Done in the electrical domain

    iSCMA Sub Carrier Multiple Access FDM done in the electrical domain

    iCDMA Code Division Multiple Access Not very popular

    iWDMA Wavelength Division Multiple Access (The most promising)

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    Sub Carrier Multiplexing

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    Single Mode Fiber

    Baseband Data

    Baseband-RFModulation

    RF-Optical Modulation

    Optical - RF Demodulation

    Gain BPF

    200 THz1.8 GHz

    RF-Baseband Demodulation

    Baseband Data

    Receiving End

    Transmitting End

    A Closer Look.

    Two different Modulations for each RF Carrier !

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    Sub Carrier Multiplexing

    iEach modulating RF carrier will look like a sub-carrieriUnmodulated optical signal is the main carrier iFrequency division multiplexed (FDM) multi channel systems

    also called as SCM

    Frequency

    Unmodulated (main) carrier

    Sub-carriers

    f1

    f2

    f1

    f2

    f0

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    Sub Carrier Multiplexing

    iAbility to both analog and digitally modulated sub-carriersiEach RF carrier may carry voice, data, HD video or digital

    audioiThey may be modulated on RF carriers using different

    techniquesiMultiple digital signals are multiplexed onto one RF signal

    and then sent at one optical wavelength. iMUX and DEMUX accomplished electronically not

    optically. iLimited by BW of electrical and optical components. iCan be combined with other multiplexing schemes such as

    SONET (Synchronous Optical Network) and DWDM to extend transmission capacity.

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    TDMA

    iSignals are multiplexed in timeiThis could be done in electrical domain (TDMA)

    or optical domain (OTDMA)iHighly time synchronized transmitter/receiveriStable and precise clocksiMost widely used (SONET, GPON etc.)

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    Time Division Multiplexing (TDM)

    Individual channels are modulated at high data rates (Channels A-C, more would be used in an actual system). An Optical Pulse generator forms high-speed pulses at rates less than the period of the transmitted data. The bit period for these signals is compressed to T/N, multiplexed, and transmitted through optical fiber. A high-speed clock and regenerator demodulates the signals. All optical 3R regeneration processes (re-amplifying, re-shaping, and re-timing) can greatly extend the capability of this technique beyond 100 Gb/s). A demonstration of 1.28 Tb/s has been demonstrated (Nakazawa, et.al., Elect. Lett. 2000).

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    Code Division Multiplexing (CDM)

    Each channel transmits its data bits as a coded channel specific sequence over available BW, wavelength, and time slots.

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    Space Division Multiplexing (SDM)

    i The channel routing path is determined by different spatial positions (fiber locations). i High BW space switching matrix is formed.

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    OSI & Layer Model

    This Course

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    Types of Networks

    iLocal Area Network (LAN) Interconnect users in a localized area: a building,

    campus or enterprise

    iMetropolitan Area Network (MAN)iWide Area Network (WAN)

    National, Regional

    iSpecial Networks Undersea, Intercontinental

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    The Public Network

    Long Haul Network

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    Global Network Hierarchy

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    Fiber in the Access End

    Fiber increasingly reaches the user

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    Network Terminologies

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    Terms use in Fiber Optic Communication

    Topology logical manner in which nodes linkedSwitching transfer of information from source to

    destination via series of intermediate nodes; Circuit Switching Virtual circuit establishedPacket Switching Individual packets are directedSwitch is the intermediate node that stream the incoming

    information to the appropriate outputRouting selection of such a suitable pathRouter translates the information from one network to

    another when two different protocol networks are connected (say ATM to Ethernet)

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    Optical Cross Connects

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    Synchronous Optical Networks

    iSONET is the TDM optical network standard for North America (It is called SDH in the rest of the world)iIt focus on the physical layer

    iSTS-1, Synchronous Transport Signal consists of 810 bytes over 125 usi27 bytes carry overhead informationiRemaining 783 bytes: Synchronous

    Payload Envelope

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    SONET/SDH Bit Rates

    STM-649953.28 OC-192

    STM-324976.64 OC-96

    STM-162488.32 OC-48

    STM-81244.16 OC-24

    STM-4622.08 OC-12

    STM-1155.52 OC-3

    -51.84OC-1

    SDHBit Rate (Mbps)SONET

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    Digital Transmission Hierarchy (T-Standards)

    Additional framing bits stuffed at each level to achieve synchronization

    Not possible to directly add/drop sub-channels

    DS1

    DS2

    DS3

    Predominant before optical era

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    Basic STS-1 SONET frame

    STS-1=(90*8bits/row)(9rows/frame)*125 /frame 51.84 Mb/ss =

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    Basic STS-N SONET frame

    STS-N signal has a bit rate equal to N times 51.84 Mb/sEx: STS-3 155.52 Mb/s

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    ATM over SONET

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    SONET Add Drop Multiplexers

    ADM is a fully synchronous, byte oriented device, that can be used add/drop OC sub-channels within an OC-N signal

    Ex: OC-3 and OC-12 signals can be individually added/dropped from an OC-48 carrier

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    SONET/SDH Rings

    iSONET/SDH are usually configured in ring architecture to create loop diversity by self healingi2 or 4 fiber between nodesiUnidirectional/bidirectional traffic flowiProtection via line switching (entire OC-N

    channel is moved) or path switching (sub channel is moved)

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    2-Fiber Unidirectional Path Switched Ring

    Ex: Total capacity OC-12 may be divided to four OC-3 streams

    Node 1-2OC-3

    Node 2-4; OC-3

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    2-Fiber UPSR

    iRx compares the signals received via the primary and protection paths and picks the best oneiConstant protection

    and automatic switching

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    4-Fiber Bi-directional Line Switched Ring (BLSR)

    Node 13; 1p, 2p 31; 7p, 8p Al

    l

    s

    e

    c

    o

    n

    d

    a

    r

    y

    f

    i

    b

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    l

    e

    f

    t

    f

    o

    r

    p

    r

    o

    t

    e

    c

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    o

    n

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    BLSR Fiber Fault Reconfiguration

    In case of failure, the secondary fibers between only the affected nodes (3 & 4) are used, the other links remain unaffected

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    BLSR Node Fault Reconfiguration

    If both primary and secondary are cut, still the connection is not lost, but both the primary and secondary fibers of the entire ring is occupied

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    Generic SONET networkLarge National Backbone

    City-wide

    Local Area

    Versatile SONET equipmentare available that support wide range of configurations, bit rates and protection schemes

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    WDM Networks

    iBroadcast and Select: employs passive optical stars or buses for local networks applications Single hop networks Multi hop networks

    iWavelength Routing: employs advanced wavelength routing techniques Enable wavelength reuse Increases capacity

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    Single hop broadcast and select WDM

    i Each Tx transmits at a different fixed wavelengthi Each receiver receives all the wavelengths, but selects (decodes) only

    the desired wavelengthi Multicast or broadcast services are supported

    i Dynamic coordination (tunable filters) is required

    Star Bus

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    A Single-hop Multicast WDM Network

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    Multi-hop Architecture

    Four node broadcast and select multihop networkEach node transmits at fixed set of wavelengths and receive

    fixed set of wavelengthsMultiple hops required depending on destinationEx. Node1 to Node2: N1N3 (1), N3N2 (6)No tunable filters required but throughput is less

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    Data packet

    In multihop networks, the source and destination information is embedded in the header

    These packets may travel asynchronously (Ex. ATM)

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    Shuffle Net

    Shuffle Net is one of several possible topologies in multihop networks

    N = (# of nodes) X (per node)

    Max. # of hops = 2(#of-columns) 1

    (-) Large # of s(-) High splitting loss A two column shuffle net

    Ex: Max. 2 X 2 - 1= 3 hops

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    Wavelength Routing

    iThe limitation is overcome by: reuse, routing and conversioniAs long as the logical

    paths between nodes do not overlap they can use the same

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    12X12 Optical Cross-Connect (OXC)Architecture

    This uses space switching

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    Optical Cross Connects (OXC)

    iWorks on the optical domainiCan route high capacity wavelengthsiSpace switches are controlled electronicallyiIncoming wavelengths are routed either to desired

    output (ports 1-8) or dropped (9-12)iWhat happens when both incoming fibers have a

    same wavelength? (contention)

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    4X4 Optical cross-connect

    Wavelength switches are electronically configuredWavelength conversion to avoid contention

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    Optical Fiber Communication System Design

    There are many factors that must be considered to ensure that enough light reaches the receiver. Without the right amount of light, the entire system will not operate properly.Basic system requirements as below:

    transmission type:digital or analogperformance : BER for digital system

    SNR for analog.transmission bandwidthspacing between the terminal equipment or intermediate repeatercostreliability

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    Fiber Optic System Design- Step-by-Step

    Select the most appropriate optical transmitter and receiver combination based upon the signal to be transmitted (Analog, Digital, Audio, Video, RS-232, RS-422, RS-485, etc.).

    Determine the operating power available (AC, DC, etc.).

    Determine the special modifications (if any) necessary(Impedances, bandwidths, connectors, fiber size, etc.).

    Carry out system link power budget.

    Carry out system rise time budget (I.e. bandwidth budget).

    If it is discovered that the fiber bandwidth is inadequate for transmitting the requiredsignal over the necessary distance, then either select a different transmitter/receiver (wavelength) combination, or consider the use of a lower loss premium fiber

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    Link Power Budget

    Po = Receiver sensitivity (i.e. minimum power requirement)SM= System margin (to ensure that small variation the system operating

    parameters do not result in an unacceptable decrease in system performance)

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    Power Budget

    i Power budget is a detail description of how the available power is used.i Transmitter output T dBmi Receiver sensitivity R dBmi Excess power T-R dBi Splicing attenuation A1 dBi Fiber loss A2 dBi Penalty for transmitter realization A3 dBi Penalty for receiver realization A4 dBi Temperate effect A5 dBi Jitter A6 dBi Safety margin A7 dBi Total loss TA dBi Excess power margin T-R-TA

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    Link Power Budget - ExamplePower margin is normally provided in the analysis to allow for component aging, temperature fluctuations, and losses arising from components that might be added at future dates.

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    Example:The following parameters are established for a long haul single mode optical system operating at a wavelength of 1.3um.

    Mean power launched from the laser transmitter -3 dBmCabled fiber loss 0.4dB /kmSplice loss 0.1dB/kmConnector losses at the transmitter and receiver 1dB eachMean power required at the APD receiver:

    When operating at 35Mbit/s (BER 10-9) -55dBmWhen operating at 44Mbit/s (BER 10-9) -44dBm

    Required safety margin 7 dBEstimate:i The maximum possible link without repeaters when operating at 35Mbit/s. It may be

    assumed that there is no-dispersion-equalization penalty at this rate.i The maximum possible link without repeaters when operating at 44Mbit/s and

    assuming no-dispersion-equalization penalty ati The reduction in the maximum possible link without repeaters of (b) when there is a

    dispersion equalization penalty of 1.5 dB. It may be assumed for the purposes of this estimate that the reduced link length has the 1.5dB penalty.

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    Solution:

    ( )i o fc j cr aP P L M = + + +( ) ( )3 55 0.4 0.1 2 7odBm dBm L = + + +

    0.5 52 9L = 43 860.5

    L km= =

    ( ) ( )3 44 0.4 0.1 2 7odBm dBm L = + + +0.5 41 9L =

    32 640.5

    L km= =

    ( ) ( )3 44 0.4 0.1 2 7 1.5odBm dBm L = + + + +0.5 41 10.5L =

    30.5 610.5

    L km= =

    (a)

    (b)

    (c)

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    Rise Time Budget

    iTotal system rise timeiTsystem = 1.1(Ts2 + Tn2 + Tc2 + TD2 )1/2iTs : Source 10-90% rise timeiTD : Detector 10-90% rise timeiTn : intermodal dispersioniTc : intramodal/chromatic dispersioniRZ: BT (max) = NRZ: BT (max) =

    iFor analog system, maximum 3 dB bandwidth is:iBW (max) =

    systemT35.0

    systemT7.0

    systemT35.0

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    Example:

    An optical fiber system is to be designed to operate over an 8km length without repeaters. The rise times of the chosen components are:

    Source (LED) 8 nsFiber: intermodal 5 ns/kmIntramodal 1 ns/kmDetector(p-i-n) 6 ns

    From system rise time considerations, estimate the maximum bit rate that may be achieved on the link when using an NRZ format.

    Solution:Tsystem = 1.1(TS2 + Tn2 + TC2 + TD2 )1/2

    = 1.1(82 + (8 x 5)2 + (8 x 1)2 + 62 )1/2= 46.2 ns

    NRZ BT(max) = 9syst

    0.7 0.7 15.2Mbit/sT 46.2 10

    = =