Fiber Optics Communications System (1)

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    DIELECTRIC WAVEGUIDE &

    FIBER OPTICS TRANSMISSION

    MEDIA

    COMEC 513 L1

    SABILE, s.s.

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    DIELECTRIC WAVEGUIDE & OPTICAL FIBER

    Index of Refraction

    Snells Law

    Critical angle

    Reflection Coefficient

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    Dielectric Waveguide

    Let us consider the simpler case of a rectangular

    slab of waveguide.

    r

    i r

    1 1 1 2 2 2and

    Snells Law of Reflection

    1

    2

    sin

    sin

    t

    i

    Snells Law of Refraction

    21

    1

    sinr

    i critical

    r

    Critical Angle:

    Case(1): i criticali Case(ii): i criticali

    When the incident angle is greater than the critical angle, the wave is totally

    reflected back and this phenomenon is known as Total internal reflection.

    Total internal

    reflectionIncident

    waveReflected

    wave

    Refracted

    wave

    Incident

    wave

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    Velocity of light in Free Space

    Velocity of light in the mediumu

    r r

    cn

    u

    Dielectric Waveguide

    The index of refraction, n, is the ratio of the speed of light in a vacuum to the

    speed of light in the unbounded medium, or

    In nonmagnetic material

    rn

    1 2

    1

    sini critical

    n

    n

    1

    2

    sin

    sin

    t

    i

    n

    n

    1 1 1 1u

    o r o r o o r r r r

    cu

    1

    o o

    c

    1r

    Where

    Critical Angle:

    Snells Law of Refraction:

    Snells Law of Refraction can be expressed in terms of refractive index:

    Index of refraction:

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    A slab of dielectric with index of refraction 3.00 sits in air. What is the relative

    permittivity of the dielectric? At what angle from a normal to the boundary willlight be totally reflected within the dielectric? (Ans: 9, 19.5)

    Dielectric WaveguideExample

    What is the relative permittivity of the dielectric?

    1 3n 2 1 (air)n

    Criticali

    11 rn

    2

    1 1r n

    2

    13 9r

    At what angle from a normal to the boundary will

    light be totally reflected within the dielectric?

    1 12

    1

    1sin sin

    319.5

    i critical

    n

    n

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    Dielectric WaveguideTE wave

    1 2

    1 2

    cos cos

    cos cos

    i t

    i t

    n n

    n n

    22

    2 11sin

    2tan

    cos

    i

    TE

    i

    n n

    Ex

    Hy

    Hz

    222 1

    22

    2 1

    cos sin

    cos sin

    i i

    TE

    i i

    j n n

    j n n

    TE

    Using Snells Law of refraction

    The reflection coefficient of a TE plane wave

    (See Chapter 5) is given by

    22

    2 1

    1

    sincostan

    2 2 cos

    i

    i

    i

    n na m

    TE modes (50 mm thick dielectric ofr= 4 or

    n=2 operating at 4.5 GHz)

    TE wave

    LHS RHS

    RHS

    LHS

    For this example only three TE

    modes are possible;

    A) TE0 at i = 74.4,

    B) TE1 at i = 57.9, and

    C) TE2 at i = 39.8.

    (A)(B) (C)

    Possible modes can be obtained by evaluating

    the phase expression for various values of m.

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    Dielectric WaveguideTM wave

    Ex

    Hy

    Ez

    22

    2 1

    22

    2 1

    cos sin

    cos sin

    i i

    TE

    i i

    j n n

    j n n

    TE

    Using Snells Law of refraction

    The reflection coefficient of a TM plane wave

    (See Chapter 5) is given by

    TM modes (50 mm thick dielectric ofr

    = 4 or n=2 operating at 4.5 GHz)

    TM wave

    1 2

    1 2

    cos cos

    cos cos

    t i

    TM

    t i

    n n

    n n

    22

    2 11

    2

    2 1

    sincostan

    2 2 cos

    ii

    i

    n na m

    n n

    For this example only three TM

    modes are possible;

    A) TM0 at i = 71.6,

    B) TM1 at i = 52, and

    C) TM2 at i = 33.

    RHS

    LHS

    (A)

    (B)(C)

    LHS RHS

    Possible modes can be obtained by evaluating

    the phase expression for various values of m.

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    Dielectric Waveguide

    A larger ratio of n1/n2 results in

    a) a lower critical angle and therefore

    b) more propagating modes.

    22

    2 11

    2

    2 1

    sincos

    tan 2 2 cos

    ii

    i

    n na m

    n n

    LHSRHS for various mRHS

    For single mode operation:

    2 2

    1 2

    1 1

    2o

    a

    n n

    2 2

    1 2

    1

    2

    o

    n n

    a

    (or)

    :Slab thicknessa

    2 2

    1 2

    1

    2

    c

    n nf

    a

    oc

    f

    Using

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    Dielectric Waveguide

    D7.6: Suppose a polyethylene dielectric slab of thickness 100 mm exists in

    air. What is the maximum frequency at which this slab will support only onemode?

    100 mma

    2 21 2

    1

    2

    c

    n n

    f

    a

    1 1.5n

    2 1 (air)n

    From Table E.2, for polyethylene

    1 2.26 1.5n 1 2.26r

    2 1 (air)n

    The maximum frequency at which this

    slab will support only one mode is

    2 2

    1 2

    8

    max2 23

    1 1

    2 2

    3 101.2 GHz

    100 10 1.5 1.0

    c

    n nf

    a

    Example

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    D7.6: Find e and up at 4.5 GHz for the TE0 mode in a 50 mm thick n1 = 2.0

    dielectric in air. (Ans: 35 mm and 1.6 x 10

    8

    m/s)

    Example

    1 1

    8

    9sin sin sin sin

    3 1035 mm

    4.5 10 2 74.4

    u o

    e

    i i i

    c

    n fn

    The effective wavelength in the guide is

    1

    8

    8

    sin sin

    3 101.6 10 m/s

    2 74.4p

    e i

    cu

    n

    The propagation velocity is

    50 mma

    1 2.0n

    2 1 (air)n

    2 1 (air)n From Fig. 7.16, the critical incident angle for

    the TE0 mode

    TE0 at i = 74.4

    Dielectric Waveguide

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    FIBER OPTICS

    COMMUNICATIONS SYSTEM

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    FIBRE OPTIC COMMUNICATION SYSTEM

    Introduction

    Fibre optic system is a communication system that

    carries information through a guided fibre optic

    cable

    Light frequencies used in fibre optic systems are

    between 1014 and 4x1014 Hz

    Thus, the higher the carrier frequency, the wider

    the bandwidth and consequently, the greater the

    information carrying capacity

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    OPTICAL FIBER

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    OPTICAL FIBER - BENEFITS

    Greater capacity

    Data rates of hundreds of Gbps

    Smaller size & weight

    Lower attenuation

    Electromagnetic isolation

    Greater repeater spacing

    10s of km at least

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    OPTICAL FIBER - TRANSMISSION CHARACTERISTICS

    Act as wave guide for 1014 to 1015 Hz

    Portions of infrared and visible spectrum

    Light Emitting Diode (LED)

    Cheaper

    Wider operating temp range

    Last longer

    Injection Laser Diode (ILD)

    More efficient

    Greater data rate

    Wavelength Division Multiplexing15

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    THE LIGHT SOURCE

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    Fibre optics Long thin strand of glass or plastic fibre used to guide light rays from

    a point to another point

    Fibre-to-detector coupler Interface between fibre and light detector to couple as much light as

    possible from the fibre cable into the light detector

    Light detector PIN (p-type-intrinsic-n-type) diode / an APD (avalanche photodiode)

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    Fibre optic - Basic elements

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    FIBER OPTIC TYPES

    multimode step-index fiber

    the reflective walls of the fiber move the light pulses to the

    receiver

    multimode graded-index fiber acts to refract the light toward the center of the fiber by

    variations in the density

    single mode fiber

    the light is guided down the center of an extremely narrowcore

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    OPTICAL FIBER TRANSMISSION MODES

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    FIBER OPTIC SIGNALS

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    fiber optic multimode

    step-index

    fiber optic multimode

    graded-index

    fiber optic single mode

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    PROPAGATION MODE Monomode fiber (core 8 ~

    12 m)

    Only one path for the light

    to propagatealong fiber

    All light rays follow the

    same path down

    the cable and take the

    same time to

    travel the length of the

    cable

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    input pulse output pulse

    only one mode, no modal dispersion

    Monomode step-index fiber

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    PROPAGATION MODE

    Multimode step index fiber

    (50 ~200 m)

    More than one path for lightpropagate along fiber

    Light rays are propagated down

    the cable in a zig-zag pattern

    and all the light rays do notfollow the same path with

    different propagation time

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    fastest modeslowest mode

    input pulse output pulse

    Multimode step-index fiber

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    PROPAGATION MODE

    Multimode graded indexfiber

    Light is propagated downthe fiber by refractionwhich result a continuousbending at the light rays

    the rays travel near thecenter, so that all the raysarrive at the end point atthe same time

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    input pulse output pulse

    Multimode graded-index

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    FIBEROPTIC - ADVANTAGES

    Wider bandwidth: have higher information to carry Lower loss/attenuation: there is less signal attenuation

    over long distance

    Light weight: higher than copper cable and offer good

    benefit where weight is critical (plane) Small size: smaller diameter than electrical cable

    Strength: as it has cladding, they offer more strength

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    FIBER OPTIC ADVANTAGES

    greater capacity (bandwidth of up to 2 Gbps)

    smaller size and lighter weight

    lower attenuation

    immunity to environmental interference

    highly secure due to tap difficulty and lack of signalradiation (Security: cannot be tapped easily aselectrical cable)

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    FIBER OPTIC DISADVANTAGES

    expensive over short distance

    requires highly skilled installers

    adding additional nodes is difficult

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    ATTENUATION

    The attenuation in fiber optics are due mainly to:

    Scattering losses

    Absorption losses

    Bending losses Splicing loss

    Coupling losses

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    ATTENUATIONSTANDARDFIBER

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    1st window wavelength :0.85 um The lowest minimum loss: 5 to 10 db/km

    2nd window 1.30 um 0.5 to 2 dB/km

    3rd window 1.55 um 01. to 0.5 dB/km

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    FIBREOPTIC - BASICELEMENTS

    The main elements are:

    Driving circuitry:

    Serves as an electrical interface between the inputcircuitry and light source and to drive the light source

    Light source

    LED / LASER

    Convert electrical energy to optical energy, where theamount of light emitted is proportional to the amount ofdrive current

    Light source-to-fiber coupler

    An interface to couple the light emitted by the sourceinto the optical fibre cable

    Fibre optics

    Long thin strand of glass or plastic fibre used to signalin a form of light from a point to another point

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    FIBRE OPTIC COMMUNICATION SYSTEM

    Elements in an optical fibre communication link

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    OPTICAL TRANSMISSION MULTIPLEX SYSTEM

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    APPLICATIONOFFIBEROPTICCABLE

    Some of the applications of fiber optic

    Long haul, backbone public and private networks

    Local loop networks

    Fiber backbone networks (LAN connectivity)

    High resolution image and digital video Computer networks, wide area and local area

    Shipboard communications

    Aircraft communications and controls

    Interconnection of measuring and monitoringinstruments in plants and laboratories

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    Fiber to the node / neighborhood(FTTN) / Fiber to the cabinet

    (FTTCab)

    Fiber to the curb (FTTC) / Fibre to the

    kerb (FTTK)- Also sometimes called

    FTTP for "to the pole", which usage

    conflicts with use of the "P" to mean

    "to the premises".

    Fiber to the building (FTTB) which

    does not imply any fiber actually

    inside a home.

    Fiber to the home (FTTH) which

    actually means "into the home" to

    internal fiber optic outlets.

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    Numerical Aperture

    Wavelength

    Acceptance angle

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    Optical FiberA typical optical fiber is shown in Figure. The fibercore iscompletely encased in a fibercladdingthat has a slightly

    lesser value of refractive index. Signals propagate along the

    core by total internal reflection at the core-cladding boundary.

    f cn n

    A cross section of the fiber with rays traced for two

    different incident angles is shown. If the phase matching

    condition is met, these rays each represent propagating

    modes.

    The abrupt change in n is a characteristic of a step-index

    fiber. Optical fiber designed to support only one

    propagating mode is termed single-mode fiber. More

    than one mode propagates in multi-mode fiber.

    2 2

    01

    2f c

    a n n

    k

    In step-index optical fiber, a single mode will propagate so long as the

    wavelength is big enough such that

    where k01 is the first root of the zeroth order

    Bessel function, equal to 2.405

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    Optical Fiber

    For step-index multi-mode fiber, the total number of propagating modes is

    approximately

    2

    2 22

    f c

    aN n n

    Example 7.3: Suppose we have an optical fiber core of index 1.465 sheathed in

    cladding of index 1.450. What is the maximum core radius allowed if only one mode

    is to be supported at a wavelength of 1550 nm?

    01

    2 22 f c

    ka

    n n

    2 2

    01

    2f c

    a n n

    k

    How many modes are supported at this maximum radius for a source wavelength of

    850 nm?

    9

    2 2

    2.405 1550 10or 2.84

    2 (1.465) (1.450)

    x ma a m

    2

    6

    2 2

    9

    (2.84 10 )2 (1.465) (1.450) 9.6

    850 10

    x mN

    x m

    The fiber supports 9 modes!

    O i l Fib

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    Optical FiberNumerical Aperture

    Light must be fed into the end of the fiber to initiate

    mode propagation. As Figure shows, upon incidence

    from air (no) to the fiber core (nf) the light is refracted

    by Snells Law:

    FiberLaser Source

    sin sino a f b

    n n

    cos cos 90 sinb c c

    2 2sin cos 1

    b b

    2sin 1 cos

    o a f bn n

    2

    sin 1 sino a f cn n

    90 180c b

    90b c

    The sum of the internal angles in a

    triangle is 180 deg.

    90

    The numerical aperture, NA, is defined as

    21 sin

    sinf c

    a

    o

    nNA

    n

    O ti l Fib

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    Optical FiberNumerical Aperture

    The incident light make an angle c with a normal to

    the corecladding boundary. A necessary condition

    for propagation is that c exceed the critical angle(i)critical, where

    sin ci critf

    n

    n

    2 2

    f c

    o

    n nNA

    n

    Therefore, the numerical aperture, NA, can bewritten as

    21 sin

    f c

    o

    nNA

    n

    FiberLaser Source

    sin ci critf

    n

    n

    O ti l Fib

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    Example 7.4: Lets find the critical angle within the fiber described in Example

    7.3. Then well find the acceptance angle and the numerical aperture.

    1 1.450sin sin 81.8 .

    1.465

    c

    c

    f

    n

    n

    2 2

    1 (1.465) (1.450)sin 12.1 .

    1a

    The critical angle is

    The acceptance angle

    Finally, the numerical aperture is

    sin 0.209.a

    NA

    Optical FiberNumerical Aperture

    O ti l Fib

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    Optical FiberSignal Degradation

    Intermodal Dispersion: Let us consider the case when a single-frequency source (called a

    monochromaticsource) is used to excite different modes in a multi-mode fiber. Each mode

    will travel at a different angle and therefore each mode will travel at a different propagationvelocity. The pulse will be spread out at the receiving end and this effect is termed as the

    intermodal dispersion.

    Waveguide Dispersion: The propagation velocity is a function of frequency. The spreading

    out of a finite bandwidth pulse due to the frequency dependence of the velocity is termed as

    the waveguide dispersion.

    Material Dispersion: The index of refraction for optical materials is generally a function of

    frequency. The spreading out of a pulse due to the frequency dependence of the refractive

    index is termed as the material dispersion.

    Attenuation

    Electronic Absorption: The photonic energy at short wavelengths may have the right amount

    of energy to excite crystal electrons to higher energy states. These electrons subsequently

    release energy by photon emission (i.e., heating of the crystal lattice due to vibration).

    Vibrational Absorption: If the photonic energy matches the vibration energy (at longer

    wavelengths), energy is lost to vibrational absorption.

    O ti l Fib

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    Optical FiberGraded-Index Fiber

    One approach to minimize dispersion in a

    multimode fiber is to use a graded index fiber (or

    GRIN, for short).

    The index of refraction in the core has an

    engineered profile like the one shown in Figure.

    Here, higher order modes have a longer path to

    travel, but spend most of their time in lower index

    of refraction material that has a faster propagationvelocity.

    Lower order modes have a shorter path, but travel

    mostly in the slower index material near the center

    of the fiber.

    The result is the different modes all propagate

    along the fiber at close to the same speed. The

    GRIN therefore has less of a dispersion problem

    than a multimode step index fiber.

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    FIBER LINK BUDGET

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    LINK BUDGET

    A link budgetis the accounting of all of the gains and

    losses from the transmitter, through the medium (freespace, cable, waveguide, fiber, etc.) to the receiver in atelecommunication system.

    It accounts for the attenuation of the transmitted signal due topropagation, as well as the antenna gains, feedline andmiscellaneous losses.

    Randomly varying channel gains such as fading are taken intoaccount by adding some margin depending on the anticipatedseverity of its effects. The amount of margin required can be reducedby the use of mitigating techniques such as antenna diversity orfrequency hopping, in case of a wireless media.

    A simple link budget equation looks like this:

    Received Power (dBm) = Transmitted Power (dBm) + Gains(dB) Losses (dB)

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    Cable Plant Link Loss Budget Analysis

    In fiber optic comm. System, loss budget

    analysis is the calculation and verification of

    a fiber optic system's operating

    characteristics.

    This encompasses items such as routing,

    electronics, wavelengths, fiber type, and

    circuit length.

    Attenuation and bandwidth are the key

    parameters for budget loss analysis.

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    Prior to designing or installing a fiber optic system, a loss

    budget analysis is recommended to make certain the system

    will work over the proposed link.

    Both the passive and active components of the circuit have to

    be included in the budget loss calculation.

    Passive loss is made up of fiber loss, connector loss, splice

    loss, and couplers or splitter loss.

    Active components are system gain, wavelength, transmitter

    power, receiver sensitivity, and dynamic range.

    Prior to system turn up, test the circuit with a source and FO

    power meter to ensure that it is within the loss budget.

    Analysis of Link Loss In The Design Stage

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    The idea of a loss bud get is to insu re the network

    equipment w i l l work o ver the instal led f iber opt ic l ink .

    It is normal to be cons ervat ive over the specif icat ions!

    Don't use the best pos sible specs fo r f iber attenuat ion

    or con nector loss - give you rself som e margin!

    Analysis of Link Loss In The Design Stage

    For example, we have a 2 km multimode link with 5 connections (2

    connectors at each end and 3 connections at patch panels in the

    link) and one splice in the middle.

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    Cable Length 2.0 2.0 2.0

    Fiber Type Multimode Single mode

    Wavelength (nm) 850 1300 1300 1550

    Fiber Atten. dB/km 3 - 3.5 1 -1.5 0.4 -1/0.5 0.3 - 1/0.5

    Total Fiber Loss 6.0 - 7.0 2.0 - 3.0

    Cable Plant Passive Component Loss

    Step 1. Fiber loss at the operating wavelength

    (All specs in brackets are maximum values perEIA/TIA 568 standard. For

    single mode fiber, a higher loss is allowed for premises applications. )

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    Step 2. Connector Loss

    Multimode connectors will have losses of 0.2- 0.5 dB typically. Single

    mode connectors, which are factory made and fusion spliced havelosses of 0.1- 0.2 dB. Field terminated single mode connectors may

    have losses as high as 0.5-1.0 dB.

    Let's calculate it at both typical and worst case values.

    Connector Loss0.3 dB (typical

    adhesive/polish conn)

    0.75 dB (TIA-568 max

    acceptable)

    Total # of Connectors 5 5

    Total Connector Loss 1.5 dB 3.75 dB

    (All connectors are allowed 0.75 max perEIA/TIA 568 standard)

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    Step 3. Splice Loss

    Multimode splices are usually made with mechanical splices, although

    some fusion splicing is used. The larger core and multiple layers makefusion splicing about the same loss as mechanical splicing, but fusion is

    more reliable in adverse environments. 0.1-0.5 dB is for multimode

    splices, 0.3 being a good average for an experienced installer. Fusion

    splicing of single mode fiber will typically have less than 0.05 dB (that's

    right, less than a tenth of a dB!)

    Typical Splice Loss 0.3 dB

    Total # splices 1

    Total Splice Loss 0.3 dB

    (All splices are allowed 0.3 max perEIA/TIA 568 standard)

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    Best Case TIA 568 Max

    850 nm 1300 nm 850 nm 1300 nm

    Total Fiber Loss (dB) 6.0 2.0 7.0 3.0

    Total Connector Loss (dB) 1.5 1.5 3.75 3.75

    Total Splice Loss (dB) 0.3 0.3 0.3 0.3Other (dB) 0 0 0 0

    Total Link Loss (dB) 7.8 3.8 11.05 7.05

    Step 4. Total Passive System Attenuation

    Add the fiber loss, connector and splice losses to get the link loss.

    Remember these should be the criteria for testing. Allow +/- 0.2 -0.5dB for measurement uncertainty and that becomes your pass/fail

    criterion.

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    Equipment Link Loss Budget Calculation:

    Link loss budget for network hardware depends

    on the dynamic range, the difference between the

    sensitivity of the receiver and the output of the

    source into the fiber.

    You need some margin for system degradation

    over time or environment, so subtract that margin

    (as much as 3dB) to get the loss budget for thelink.

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    Step 5. Data From Manufacturer's Specification for Active

    Components (Typical 100 Mb/s link)

    Operating Wavelength (nm) 1300

    Fiber Type MM

    Receiver Sens. (dBm@ required BER) -31

    Average Transmitter Output (dBm) -16

    Dynamic Range (dB) 15

    Recommended Excess Margin (dB) 3

    St 6 L M i C l l ti

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    Step 6. Loss Margin Calculation

    Dynamic Range (dB) (above) 15 15

    Cable Plant Link Loss (dB) 3.8 (Type) 7.05 (TIA)

    Link Loss Margin (dB) 11.2 7.95

    As a general rule, the Link Loss Margin should be greater than

    approximately 3 dB to allow for link degradation over time.

    LEDs in the transmitter may age and lose power, connectors or splicesmay degrade or connectors may get dirty if opened for rerouting or

    testing.

    If cables are accidentally cut, excess margin will be needed to

    accommodate splices for restoration.

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    CRITERIA & CALCULATION FACTORS

    Basic Items Used To Determine General

    Transmission System Performance

    Fiber Loss Factor

    Type of fiber

    Transmitter

    Receiver Sensitivity

    Number and type of splices

    Margin

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    TRANSMISSIONDISTANCECLASSIFICATIONS

    Very Short Reach : 300-600 m or less

    Short: 2Km

    Intermediate: 10-40 Km

    Long: 40- 80 Km

    Very Long Reach: 120 Km

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    EXAMPLE:

    Two operation centers are located about 8 miles apart based on

    map distance. Assume that the primary communication devices ateach center are a wide area network capable router with fiber opticcommunication link modules, and that the centers are connected bya fiber optic cable. The actual measured distance based on walkingthe route , is a total measured length (including slack coils) of 9miles. There are no additional devices installed along the cable path.

    Future planning provides for the inclusion of a freeway managementsystem communication link within 5 years.

    Note:

    All distance measurements must be converted to kilometers. Fiber

    cable is normally shipped with a maximum reel length of 15,000 feet(or 4.5km). 9 miles is about 46,000 feet or 14.5km. Assume that thissystem will have at least 4 mid-span fusion splices.

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    From the Table: Fiber Loss Budget Calculation

    Fiber Loss: 14.5 km 0.35 dB = -5.075 Fusion splice Loss: 4 0.2 dB = - 0.8

    Terminating Connectors: 2 1.0 dB = -2.0

    Margin: -5.0

    Total Fiber Loss = -12.875

    The manufacturer of the router offers threetransmitter/receiver options for single mode fiber:

    REACH TRANSMIT POWER RECEIVER SENSITIVITY

    Short: -3 dBm -18 dBm

    Intermediate: 0 dBm -18 dBm

    Long: +3 dBm -28 dBm

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    To determine the correct power option add the transmit

    power to the fiber loss calculation.

    REACH TRANSMIT POWER FIBER LOSS LOSS BUDGET

    Short: -3 dBm -12.875 -15.875 dBm

    Intermediate: 0 -12.875 -12.875 dBm

    Long: +3 dBm -12.875 -9.875 dBm

    Compare this to the receiver sensitivity specification

    REACH RCVR SENSITIVITY LOSS BUDGET DIFFERENCE

    Short: -18 dBm -15.875 +3.0

    Intermediate: -18 dBm -12.875 +6.0

    Long: -28 dBm -9.875 +19.0

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    Because a loss margin of 5.0dB was included in the

    fiber loss calculation, the short reach option will

    provide sufficient capability for this system.

    In fact, the total margin is 8.0db because the

    difference between the loss budget and receiver

    sensitivity is 3.0 db.

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    Problem: Assume a system with the following specifications:

    Light transmitter LED output power: 30 W

    Light receiver sensitivity: 1 W

    Cable Length: 6 km

    Cable attenuation: 3 dB/Km, 3X6 = 18 dB total

    Four connectors: attenuation 0.8 dB = 3.2 dB total

    LED-to-connector loss: 2 dB Cable dispersion: 8 ns/km

    Data rate: 3 Mbps

    1. Calculate for all the losses.2. What power gain is needed to overcome this loss?

    S

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    SOLUTION:

    First calculate all the losses; add all the dB loss factors.

    Total Loss, dB = 18 + 3.2 + 2 + 2 = 25.2 dB

    If we add 4-dB contingency factor, making the total loss:

    25.2 + 4 = 29.2 dB

    What power gain is needed to overcome this loss? dB = 10 log Pt/Pr

    where Pt is the transmit power; Pr is the received power

    29.2 dB = 10 log Pt/Pr

    Pt/Pr = 831.8

    Pt = 30/831.8 = 0.036 W

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    Note that if the receiver sensitivity is 1 W, 0.036 W is

    below the threshold of the receiver.

    The problem may be solved in one of the three ways:

    Increase transmitter power

    1.

    Get a more sensitive receiver2. Add repeater.

    If the transmitter power is increased to 1 mW or 1000 W:

    The Pr= 1000 831.8 = 1.2 W this value is > 1 W

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    PERFORMANCE CONSIDERATION:

    The performance of a cable is indicated by the bitrate-distance product.

    This rating is the fastest bit rate that can be

    achieved over a 1 km cable.

    R = 1/5dD (s/km)

    R maximum data bit rate in Mbps for a given

    distance D in Km of the cable with dispersion factor ofd, given in s/km.

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    Problem :

    A measurement is made on a fiber-optic cable 1200 ft long.

    Its upper frequency limit is determined to be 43 Mbps. What

    is the dispersion factor D?

    1 km = 3274 ft.

    D = 1200 ft or 1200/3,274 = 0.367 km

    R = 1/5dD

    D = 1/5Rd = 1/ [5(43 x 106)(0.367)] = 12.7 ns/km

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    HOW TO ESTIMATE TOTAL LINK LOSS

    HOW TO ESTIMATE TOTAL LINK LOSS

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    Example:

    Assume a 40km single mode link at 1310 nm with 2connector pair and 5 splices. Calculate the link loss.

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    HOW TO ESTIMATE FIBER DISTANCE

    E l

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    Example:

    Assume a Fast Ethernet Single mode link at 1310nm with 2 connector pairs and 5

    splices. Estimate the possible distance of the fiber before dissipating the optical

    power to a value below the receiver sensitivity. What are the factors that will

    determine the maximum distance of the fiber?

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    THANKYOU