irfan khan signal degradation in optical fibers. irfan khan signal degradation in the optical fiber...

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SIGNAL DEGRADATION

IN OPTICAL FIBERS

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Signal Degradation in the Optical Fiber

Signal Attenuation

Signal Distortion

It determines the maximum unamplified or repeaterless distance between transmitter and receiver.

•Causes optical pulses broaden.

•Overlapping with neighboring pulses, creating errors in the receiver output.

•It limits the information carrying capacity of a fiber.

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Intentionally Left Blank

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Attenuation

The Basic attenuation mechanisms in a fiber:

1. Absorption:

It is related to the fiber material.

2. Scattering:

It is associated both with the fiber material and with the structural imperfections in the optical waveguide.3. Radiative losses/ Bending losses:

It originates from perturbation (both microscopic and macroscopic) of the fiber geometry.

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Example: Absorption by Atmospheric

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The colours of the sky are caused by the scattering of light

Example: Scattering of light by Atmospheric

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Attenuation Units

P(z) =P (0) e -αpz

αp = (1/z) ln [P(0) / P(z)]

If P(0) is the optical power in a fiber at the origin (at z=0), then the power P(z) at a distance z

Fiber attenuation coefficient

Attenuation coefficient in units of decibels per kilometer, denoted by dB/ Km, then

α(dB/km) = (10/z) ln [P(0) / P(z)]=4.343 x αp (km-1)

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Q: Fiber has an attenuation of 0.4 dB/km at a wavelength of 1310 nm. Then after it travels 50 km, what is the optical power loss in the fiber ?

Q: Optical powers are commonly expressed in units of dBm, which is the decibel power level referred to 1 mW. Consider a 30 km long optical fiber that has an attenuation of 0.4 dB/km at 1310 nm.

Find the optical output power Pout, if Pin is 200 μW

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Absorption

Absorption is caused by three different mechanisms:

Absorption is caused by three different mechanisms:

1- Impurities in fiber material: from transition metal ions (must be in order of ppb) & particularly from OH ions with absorption peaks at wavelengths 2700 nm, 400 nm, 950 nm & 725nm.

2- Intrinsic absorption (fundamental lower limit): electronic absorption band (UV region) & atomic bond vibration band (IR region) in basic SiO2.

3- Radiation defects

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Absorption

Atomic defects are imperfections in the atomic structure of the fiber material.

Examples:

•Missing molecules

•High density clusters of atom groups

•Oxygen defects in the glass structure.

•Absorption losses arising from these defects are negligible compared with intrinsic and impurity absorption.

•Can be significant if the fiber is exposed to ionization radiations.

1. Absorption by atomic defects

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1 rad(Si) = 0.01 J/Kg

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Absorption

The dominant absorption factor in silica fibers is the presence of minute quantities of impurities in the fiber material.

•These impurities include

•OH- (water) ions dissolved in the glass.

•Transition metal ions, such as iron, copper, chromium and vanadium

Origin :

OH ion impurities in a fiber preform results mainly from the oxyhydrogen flame used in the hydrolysis reaction of the SiCl4, GeCl4 and POCl3 starting materials.

2. Extrinsic absorption by impurity atoms

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Optical fiber attenuation as a function of wavelength yields nominal values of 0.5 dB/km at 1310 nm and 0.3 dB/km at 1550 nm for standard single mode fiber. Absorption by the water molecules causes the attenuation peak around 1400nm for standard fiber. The dashed curve is the attenuation for low water peak fiber.

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Absorption

3. Intrinsic absorption by the basic constituent atoms

Intrinsic absorption is associated with the basic fiber material (e.g pure SiO2).

Intrinsic absorption results from:

1. Electronic absorption bands in the ultraviolet region

2. Atomic vibration bands in the near infrared region

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Absorption

1. Electronic absorption (EA) occurs when a photon interacts with an electron in the valance band and excites it to a higher energy level. The electronic absorption is associated with the band gap of the material. The UV edge of EA follow the empirical formula

oEEuv Ce /

Ultraviolet absorption decays exponentially with increasing wavelength and is small compared with scattering loss in the near infrared region. UV loss in dB/km at any as a function of mole fraction x of GeO2 is

63.4

exp10606.46

2.154 2

x

xuv

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2. The inherent infrared absorption is associated with the vibration frequency of chemical bond between the atoms of which the fiber is composed.

This absorption is quite strong because of many bonds present in the fiber. Example: GeO2-SiO2.

An interaction between the vibrating bond and the

electromagnetic field of the optical signal results in a

transfer of energy from the field to the bond and

thereby giving rise to absorption.

48.48exp1081.7 11

IR

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**Optical fiber attenuation characteristics and their limiting mechanisms for a GeO2 doped low loss water content silica fiber.

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A comparison of the infrared absorption induced by various doping materials in low-loss silica fibers.

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Absorption inInfrared region

Absorption

Atomic DefectsExtrinsic

(Impurity atoms)Intrinsic

Absorption

Absorption inUltraviolet region

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Scattering Losses

Scattering losses in glass arise from microscopic variation in the material density from:

1. Compositional fluctuations

2. Inhomogeneities or defects occurring during fiber manufacture

These two effects give rise to refractive index variation, occurring within the glass over distances that are small compared with the wavelength.

These index variation case Rayleigh-type scattering of the light and inversely proportional to wavelength.

It decreases dramatically with increasing wavelength

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Rayleigh scattering in an optical fiber

Scattering Losses

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Combining the infrared, ultraviolet, and scattering losses for single mode fiber.

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Scattering Losses

Compositional fluctuations

in material

Inhomogeneities or defects

in fiber

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Radiative losses / Bending Losses

Radiative losses occur whenever an optical fiber undergoes a bend of finite radius of curvature.

Fiber can be subject to two types of bends:

1. Macroscopic bends

2. Microscopic bends

Macrobending: Light lost from the optical core due to macroscopic effects such as tight bends being induced in the fiber itself.

Microbending. Light lost from the optical core due to microscopic effects resulting from deformation and damage to the core cladding interface.

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• For the slight bends losses are unobservable

• By decreasing radius of curvature we will come to the critical value after which these losses increase drastically, shown as xc in the fig.

• As we know that the electric/magnetic field have a tail in the cladding region so by bending the cable we come to the extent where cladding field should move faster to keep up with the core field.

• As this is not possible so the energy in that region radiates away

• Radiation losses depend on the value of xc and radius of curvature R

• As the lower order modes remain close to the core axis and the higher modes are closer to the cladding so the higher modes will radiate out of the fiber first.


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Macrobending losses are normally produced by poor handling of fiber .

Poor reeling and mishandling during installation can create severe bending of the fiber resulting in small but important localized losses


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Power loss in a curved fiber

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Microbending losses:It is the radiation loss in optical waveguide results from mode coupling by random microbends.

Fiber curvature causes repetitive coupling of energy between the guided modes and the leaky or nonguided modes in the fiber.

Microbending is a much more critical feature and can be a major cause of cabling attenuation.

These stresses are very difficult to define, however, they can be caused by:• nonuniformities in the manufacturing of the fiber• nonuniform lateral pressures during cabling• Low temperatures• High pressures


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Microbending losses

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A compressible jacket extruded over a fiber reduces microbending resulting from external forces.

Minimizing microbending losses:

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Macrobending due to poor reeling

Irfan khanMinimum safe bend radius —shown full size

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Bends are shown full size — and may have caused damage to the fiber

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Making use of bending losses

There are many uses of bending losses which are based on

either the increase in the attenuation or on making use of the

light which escapes from the optic fiber.


A fiber optic pressure sensor

Active fiber detector

This makes use of the increased attenuation experienced by the fiber as it bends.

This uses the escaping light.

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Pressure causes loss at the bends

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Is the fiber in use?

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Radiative losses/

Bending losses

Macroscopic bends Microscopic bends

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Absorption in

Infrared region

Absorption

Atomic Defects

Extrinsic (Impurity atoms)

Intrinsic Absorption

Absorption in

Ultraviolet region

Attenuation

Scattering Losses

Compositional fluctuations in material


in fiber

Radiative losses/ Bending

losses

Macroscopic bends

Microscopic bends

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Signal Distortion in FibersOptical signal weakens from attenuation

mechanisms and broadens due to distortion effects.

Eventually these two factors will cause neighboring pulses to overlap.

After a certain amount of overlap occurs, the receiver can no longer distinguish the individual adjacent pulses and error arise when interpreting the received signal.

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Pulse broadening and attenuation

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Dispersion

Attenuation only reduces the amplitude of the output waveform which does not alter the shape of the signal.

Dispersion distorts both pulse and analog modulation signals.

The basic need is to match the output waveform to the input waveform as closely as possible.

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It is noted that actually no power is lost to dispersion, the spreading effect reduces the peak power.

In a pulse modulated system, this causes the received pulse to be spread out over a longer period.

Dispersion

Dispersion results when some components of the input signal spend more time traversing the fiber than other components.

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Dispersion

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The difference in width of an input pulse with the width of the same pulse at the output, measured in time, is the dispersion characteristic for that piece of fiber.

Pulse dispersion is usually specified in terms of “Nanoseconds-per-kilometer”.

Dispersion

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Dispersion of optical energy within an optical fiber falls into following categories:

Intramodal Dispertion or Chromatic DispersionMaterial DispertionWaveguide Dispertion

Intermodal Delay or Modal Delay)

Dispersion

Polarization –Mode Dispersion

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Intermodal delay/ modal delay

Dispersion

Intermodal distortion or modal delay appears only in

multimode fibers.

This signal distortion mechanism is a result of each mode

having a different value of the group velocity at a single

frequency.

Group Velocity: It is the speed at which energy in a particular mode travels along the fiber.

The amount of spreading that occurs in a fiber is a function

of the number of modes propagated by the fiber and length

of the fiber

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The maximum pulse broadening arising from the modal

delay is the difference between the travel time Tmax of the

longest ray and the travel time Tmin of the shortest ray .

This broadening is simply obtained from ray tracing for a fiber of length L:

∆T= Tmax – Tmin = n1/c ( L/sinøc –L) = (Ln12/cn2)∆

∆T= Tmax – Tmin = (Ln12/cn2)∆

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Fiber Capacity:

Fiber capacity is specified in terms of the bit rate-distance product BL.

(Bit rate times the possible transmission distance L)

For neighboring signal pulses to remain distinguishable at the receiver, the pulse spread should be less than 1/B.

Or

Pulse spread should be less than the width of a bit period.

∆T < 1 /B General requirement∆T ≤ 0.1 /B For high performance link

Bit rate distance product BL < n2 c/ n12 ∆

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Light rays with steep incident angles have longer path lengths than lower-angle rays.

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How to minimize the effect of modal dispersion?

1.Graded index fiber

2.Single mode fiber

Answer is

How to get one mode and solve the problem

V = 2πa / λ x (n12 – n2

2)1/2 = 2πa / λ x (NA)

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we could decrease the number of modes by increasing the wavelength of the light.

Changing from the 850 nm window to the 1550 nm window will only reduce the number of modes by a factor of 3 or 4.

Change in the numerical aperture can help but it only makes a marginal improvement.

We are left with the core diameter. The smaller the core, the fewer the modes.

When the core is reduced sufficiently the number of modes can be reduced to just one.

How to get one mode and solve the problem

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Step Index Multi-mode

Graded Index Multi-mode

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Intentionally Left BlankLecture on board “factors in

dispersion”

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Q: Consider a 1 Km long multimode fiber in which n1= 1.480 and ∆ = 0.10 , so that n2= 1.465.

Then find ∆T= ?

∆T = (Ln12/cn2)∆

Where:

L = 1 Km

n1 = 1.480

n2= 1.465

∆ = 0.10

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How to characterize dispersion?• Group delay per unit length can be defined as:

• If the spectral width of the optical source is not too wide, then the delay difference per unit wavelength along the propagation path is approximately For spectral components which are apart, symmetrical around center wavelength, the total delay difference over a distance L is:

d

d

cdk

d

cd

d

Lg

2

1

ω

2

[3-15]

d

d g

2

2

2

22

22

d

dL

V

L

d

d

d

d

d

d

d

d

c

L

d

d

g

g

[3-16]

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• is called GVD parameter, and shows how much a light pulse broadens as it travels along an optical fiber. The more common parameter is called Dispersion, and can be defined as the delay difference per unit length per unit wavelength as follows:

• In the case of optical pulse, if the spectral width of the optical source is characterized by its rms value of the Gaussian pulse , the pulse spreading over the length of L, can be well approximated by:

• D has a typical unit of [ps/(nm.km)].

2

2

2

d

d

22

211

c

Vd

d

d

d

LD

g

g

[3-17]

g

DLd

d gg [3-18]

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Dispersion

Intramodal Dispersion or Chromatic Dispersion

This takes place within a single mode.

Intramodal dispersion depends on the wavelength, its effect on signal distortion increases with the spectral width of the light source.

Spectral width is approximately 4 to 9 percent of a central wavelength.

Two main causes of intramodal dispersion are as:

1. Material Dispersion

2. Waveguide Dispersion

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t

Spread, ²

t0

Spectrum, ²

12o

Intensity Intensity Intensity

Cladding

CoreEmitter

Very shortlight pulse

vg(2)

vg(1)Input

Output

All excitation sources are inherently non-monochromatic and emit within aspectrum, ² , of wavelengths. Waves in the guide with different free spacewavelengths travel at different group velocities due to the wavelength dependenceof n1. The waves arrive at the end of the fiber at different times and hence result ina broadened output pulse.

© 1999 S.O. Kasap, Optoelectronics (Prentice Hall)

Material Dispersion

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Material Dispersion:

This refractive index property causes a wavelength

dependence of the group velocity of a given mode; that is,

Pulse spreading occurs even when different

wavelength follow the same path.

Material dispersion can be reduced:

•Either by choosing sources with narrower spectral output widths OR

•By operating at longer wavelengths.

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LASER source will produce far less spectral dispersion or intramodal dispersion than an LED source since it is more nearly monochromatic

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Material Dispersion

• The refractive index of the material varies as a function of wavelength,

• Material-induced dispersion for a plane wave propagation in homogeneous medium of refractive index n:

• The pulse spread due to material dispersion is therefore:

)(n

d

dnn

c

L

nd

dL

cd

dL

cd

dLmat

)(2

22ω

22

[3-19]

)(2

2

matmat

g DLd

nd

c

L

d

d [3-20]

)(matD is material dispersion

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Material dispersion as a function of optical wavelength for pure silica and 13.5 percent GeO2/ 86.5 percent SiO2.

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Waveguide Dispersion:

Dispersion arises because the fraction of light power

propagating in the cladding travels faster than the light

confined to core.

It causes pulse spreading because only part of the optical power propagation along a fiber is confined to core.

Single mode fiber confines only 80 percent of the power in

the core for V values around 2.

The amount of waveguide dispersion depends on

the fiber design.

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Waveguide Dispersion • Waveguide dispersion is due to the dependency of the group velocity of

the fundamental mode as well as other modes on the V number, (see Fig 2-18 of the textbook). In order to calculate waveguide dispersion, we consider that n is not dependent on wavelength. Defining the normalized propagation constant b as:

• solving for propagation constant:

• Using V number:

21

22

22

1

22

22 //

nn

nk

nn

nkb

[3-29]

)1(2 bkn [3-31]

2)( 22/12

22

1 kannnkaV [3-33]

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Waveguide Dispersion• Delay time due to waveguide dispersion can then be expressed as:

dV

Vbdnn

c

Lwg

)(22 [3-34]

Optical Fiber communications, 3rd ed.,G.Keiser,McGrawHill, 2000

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Signal Distortion in single mode fibers

• For single mode fibers, waveguide dispersion is in the same order of material dispersion. The pulse spread can be well approximated as:

2

22 )(

)(dV

VbdV

c

LnDL

d

dwg

wgwg

[3-25]


)(wgD

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Polarization Mode dispersion

Core

z

n1 x

// x

n1 y

// y

Ey

Ex

Ex

Ey

E

= Pulse spread

Input light pulse

Output light pulset

t

Intensity

Suppose that the core refractive index has different values along two orthogonaldirections corresponding to electric field oscillation direction (polarizations). We cantake x and y axes along these directions. An input light will travel along the fiber with Ex

and Ey polarizations having different group velocities and hence arrive at the output atdifferent times

© 1999 S.O. Kasap, Optoelectronics (Prentice Hall)

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Polarization Mode dispersion

• The effects of fiber-birefringence on the polarization states of an optical are another source of pulse broadening. Polarization mode dispersion (PMD) is due to slightly different velocity for each polarization mode because of the lack of perfectly symmetric & anisotropicity of the fiber. If the group velocities of two orthogonal polarization modes are then the differential time delay between these two polarization over a distance L is

• The rms value of the differential group delay can be approximated as:

gygx vv and pol

gygxpol v

L

v

L [3-26]

LDPMDpol [3-27]

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Chromatic & Total Dispersion• Chromatic dispersion includes the material & waveguide dispersions.

• Total dispersion is the sum of chromatic , polarization dispersion and other dispersion types and the total rms pulse spreading can be approximately written as:

LD

DDD

chch

wgmatch

)(

)(

[3-28]

LD

DDD

totaltotal

polchtotal

...[3-29]

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Chromatic & Total Dispersion• Chromatic dispersion includes the material & waveguide dispersions.

• Total dispersion is the sum of chromatic , polarization dispersion and other dispersion types and the total rms pulse spreading can be approximately written as:

LD

DDD

chch

wgmatch

)(

)(

[3-28]

LD

DDD

totaltotal

polchtotal

...

[3-29]

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Total Dispersion, zero Dispersion


Fact 1) Minimum distortion at wavelength about 1300 nm for single mode silica fiber.Fact 2) Minimum attenuation is at 1550 nm for sinlge mode silica fiber. Strategy: shifting the zero-dispersion to longer wavelength for minimum attenuation and dispersion.

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Variation in the polarization states of an optical pulse as it passes through a fiber that has varying birefringence along its length.

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Signal Distortion/

Dispersion

Polarization-modeDispersion

Intramodal Dispersion/

Chromatic Dispersion

Intermodal Delay/Modal Delay

Material Dispersion

Waveguide Dispersion

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Absorption in

Infrared region

Absorption

Atomic Defects

Extrinsic (Impurity atoms)

Intrinsic Absorption

Absorption in

Ultraviolet region

Attenuation

Scattering Losses

Compositional fluctuations in material


in fiber

Radiative losses

Macroscopic bends

Microscopic bends

Signal Distortion/Dispersion

Polarization

-mode

Dispersion

Intramodal

Dispersion/

Chromatic

Dispersion

Intermodal

Delay/

Modal Delay

Material

Dispersion

Waveguide

Dispersion

Signal Degradation in the Optical Fiber

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Characteristics of Single Mode Fibers

These Characteristics include :

1. Index profile configuration

2.Cutoff wavelength

3.Signal dispersion designations and calculations

4.Mode field diameter

5.Signal loss due to fiber bending.

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Three dimensional refractive index profiles for (a) matched cladding 1310nm optimized (b) depressed cladding 1310nm optimized (c) triangular dispersion shifted and (d) quadruple clad dispersion flattened single mode fibers.

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SM-fiber dispersions

Typical waveguide dispersion and the common material dispersion for three different single mode fiber designs.

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SM-fiber dispersions

Resultant total dispersions

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Single mode Cut-off wavelength & Dispersion

• Fundamental mode is with V=2.405 and

• Dispersion:

• For non-dispersion-shifted fibers (1270 nm – 1340 nm)

• For dispersion shifted fibers (1500 nm- 1600 nm)

0111 LPor HE 22

21

2nn

V

ac

[3-30]

LD

DDd

dD wgmat

)(

)()()(

[3-31]

[3-32]

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Dispersion for non-dispersion-shifted fibers (1270 nm – 1340 nm)

• is relative delay minimum at the zero-dispersion wavelength , and is the value of the dispersion slope in .

22

000 )(

8)(

S

00

0S.km)ps/(nm2

0

)( 00

d

dDSS

400 )(1

4)(

S

D

LD

DDd

dD wgmat

)(

)()()(

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Dispersion for dispersion shifted fibers (1500 nm- 1600 nm)

20

00 )(

2)(

S

00 )()( SD

[3-36]

[3-37]

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Dispersion Calculation

If tmod, tCD, and tPMD are the modal, chromatic, and polarization

mode dispersion times

Then

Then total dispersion tT can be calculated by the relationship.

Note that tmod = 0 for single-mode fibers.

tcd = |DCD | L ∆λ

tPMD = DPMD (fiber length)1/2

Where

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Mode-field diameter vs wavelength

Typical mode field diameter variations with wavelength for (a) 1300 nm optimized (b) dispersion shifted and (c) dispersion flattened single mode fibers

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Bending-induced attenuation

Representative increases in single mode fiber attenuation owing to microbending and macrobending effects

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Bending effects on loss vs MFD

Calculated increase in attenuation at 1310 nm from microbending and macrobending effects as a function of mode field diameter for (a) depressed cladding single mode fiber and (b) matched cladding single mode fiber.

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Bend loss versus bend radius

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International Standards

ITU-T Recommendations for multimode and Single-Mode Fibers

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Chromatic dispersion as a function of wavelength in various spectral bands for several different optical fiber types

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Recommendation G.651

Core diameters :

1) 50 µm2) 62.5 µmcladding diameters:( For both fibers)125-µm

Attenuation :Range form 2.5 dB/km at 850nm to less that 0.6dB/km at 1310 nm

Light source used: Vertical cavity surface emitting laser (VSSEL) operating at 850 nm

Ethernet links running at data rates up to 10Gb/s over distance up to 550 m can use multimode fibers

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Recommendation G.652a/b (Standard single mode fiber or 1300nm optimized fiber)

Installed widely in telecommunication networks in the 1990s.

Core diameter: 5 and 8 µmCladding diameter:125µm

This fiber was optimized to have a zero-dispersion value at 1310 nm.

With the trend toward operation in the lower-loss 1550-nm spectral region, the installation of this fiber has decreased dramatically.

If network operators want to use installed G.652 fiber at 1550 nm, complex dispersion compensation techniques are needed,

Attenuation :Range form 0.4 dB/km at 1310nm toless that 0.35dB/km at 1550 nm

Max PMD: 0.2 ps/ √km

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Recommendation G.652c/d (low water peak fiber)

It allows operation in the E-band and are used widely for fiber to the premises (FTTP) installations.

It is created by reducing the water ion concentration in order to eliminate the attenuation spike in the 1360 to 1460 nm E-band.

It allow operation over the entire wavelength range from 1260 to 1625 nm

Typically a FTTP link transmits three independent bidirectional channels at 1310, 1490 and 1550nm over the same fiber.

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Recommendation G.653 (Dispersion shifted fiber DSF)

It was developed for the use with 1550 nm lasers.Zero dispersion point is shifted to 1550 nm where the fiber attenuation is about half that at 1310nm.

It presents dispersion related problems in dense wavelength division multiplexing (DWDM) applications in the centre of the C band.

To prevent undesirable nonlinear effects in DWDM systems the chromatic dispersion values should be positive or negative over the entire operational band.

The use of G.653 fibers for DWDM should be restricted to either the S band or L band

But

Because

Therefore

These fibers are seldom deployed anymore

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Recommendation ITU-T G.654 (cutoff wavelength shifted fiber )

Designed for long distance high power transmission.

It has zero dispersion wavelength around 1300 nm wavelength.

It has very low loss in the 1550nm band, which is achieved by using pure silica core.

It has a high cutoff wavelength of 1500 nm, restricted to operation in the 1500 to 1600 nm region.

Typically used only in long distance undersea application.

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Recommendation ITU-T G.655 (Non zero dispersion shifted fiber )

NZDSF was introduced in the mid 1990s for WDM applications.

Principal characteristic:

It has a positive nonzero dispersion value over the entire C-band, which is the spectral operating region for eribium doped optical fiber amplifiers.

Version G.655b was introduced to extend WDM application into the S-band.

Version G.655c specifies a lower PMD value of 0.2 ps√km than the 0.5 ps/√km value of G.655a/b

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Recommendation ITU-T G.656

It has a positive chromatic dispersion value ranging from 2 to 14 ps/(nm-km) in the 1460 to 1625 nm wavelength band.

Here dispersion slop is significantly lower than in G.655 fibers

Lower dispersion slope:

It means that the chromatic dispersion changes slower with the wavelength so that dispersion compensation is simpler or not needed.

The use of CWDM without chromatic dispersion compensationThis allows

and Also means that 40 additional DWDM channels can be implemented in this wavelength band.

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Specialty FibersDesigned to Manipulate or control some characteristic of an optical fiber.

The light manipulation applications include:

1. Optical signal amplification

2. Optical power coupling

3. Dispersion compensation

4. Wavelength conversions

5. Sensing of physical parameters:

1. Temperature

2. Stress

3. Pressure

4. Vibration

5. Fluid levels

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Specialty Fibers

Specialty fibers can be of either a multimode or a single mode design.

Optical devices that may use such fibers are:

1. Light transmitters

2. Light modulators

3. Optical receivers

4. Wavelength multiplexers

5. Light couplers

6. Splitters

7. Optical amplifiers

8. Optical switches

9. Wavelength add /drop modules

10.Optical attenuators

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Example of Specialty Fibers and Their Applications

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Generic Parameter Values of an Erbium-Doped Fiber for Use in the C-Band

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Cross-sectional geometry of four different polarization-maintaining fibers

Core

Cladding

Core

Cladding

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End-face patterns of two possible holey fiber structures.

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The End

irfan khan signal degradation in optical fibers. irfan khan signal degradation in the optical fiber...

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