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ECE โ€“ IV SEM
UNIT-II
Optical Fiber
Manav
Rachna
College
of
Engg.
Optical Fiber Classification
๏‚ข Can be classified in a number of ways
๏‚ข On the basis of manufacturing
๏‚— Single component/Multi component
๏‚ข Glass core glass clad
๏‚ข Doped silica core clad
๏‚ข All plastic fiber
๏‚ข On the basis of profile
๏‚— Step index
๏‚ข Multi mode
๏‚ข Mono mode
๏‚— Graded index
Manav
Rachna
College
of
Engg.
Fiber modes
๏‚ข Electromagnetic field propagating in fiber can be described by
Maxwellโ€™s equations whose solution yields number of modes M.
For a step index profile
where a is the core radius and V is the mode parameter (or
normalized frequency of the fiber)
๏‚ข Depending on fiber
parameters, number of
different propagating
modes appear
๏‚ข For single mode fibers
๏‚ข Single mode fibers do not
have mode dispersion
(see the supplementary
โ€˜Mode Theoryโ€™ for
further details)
Manav
Rachna
College
of
Engg.
Fiber modes (cont.)
Manav
Rachna
College
of
Engg.
Inter-modal (mode) dispersion
๏‚ข Multimode fibers exhibit modal dispersion that is caused by different
propagation modes taking
different paths:
mod max min
T T
๏ค ๏€ฝ ๏€ญ
/
/
v s t
v c n
๏€ฝ
๏ƒฌ
๏ƒญ
๏€ฝ
๏ƒฎ
1 2 1
( )/
n n n
๏„ ๏€ฝ ๏€ญ 2 1(1 )
n n
๏€ฝ ๏€ญ ๏„
1 1 2
cos cos(0)
n n
๏ฑ ๏€ฝ ๏ƒ— 1 2 1
cos / 1 /
n n L s
๏ฑ ๏€ฝ ๏€ฝ ๏€ญ ๏„ ๏€ฝ
1
๏ฑ 1
๏ฑ
Path 1
Path 2
core
cladding
cladding
L
1
/cos /(1 )
s L L
๏ฑ
๏€ฝ ๏€ฝ ๏€ญ ๏„
๏› ๏
max 1
/ / (1 ) /
T s v L c n
๏€ฝ ๏€ฝ ๏€ญ ๏„
๏› ๏
mod max min 1 1
1 1
mod
/ (1 ) /
1
T T Ln c Ln c
Ln Ln
c c
๏ค
๏ค
๏€ฝ ๏€ญ ๏€ฝ ๏€ญ ๏„ ๏€ญ
๏„
๏ƒฆ ๏ƒถ
๏€ฝ ๏‚ป ๏„
๏ƒง ๏ƒท
๏€ญ ๏„
๏ƒจ ๏ƒธ
min
1
/
L
T
c n
๏€ฝ
1 1 2 2
cos cos
n n
๏ฑ ๏ฑ
๏€ฝ
s
1
n
Manav
Rachna
College
of
Engg.
Step Index Fiber
๏‚ง Core and Cladding are glass with appropriate optical properties
๏‚ง Buffer is plastic for mechanical protection
Manav
Rachna
College
of
Engg.
The Optical Fiber
๏‚— Fiber optic cable functions as a โ€light guide,โ€ guiding the
light from one end to the other end.
๏‚ข Categories based on propagation: Single Mode Fiber (SMF)
๏‚ข Multimode Fiber (MMF)
๏‚ข Categories based on refractive index profile Step Index Fiber (SIF)
๏‚ข Graded Index Fiber (GIF)
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Single Mode Step Index Fiber
๏‚ข Only one propagation mode is allowed in a given wavelength.
๏‚ข This is achieved by very small core diameter (8-10 ฮผm)
๏‚ข SMF offers highest bit rate, most widely used in telecom
Manav
Rachna
College
of
Engg.
Ray description of different fibers
Manav
Rachna
College
of
Engg.
Refraction and Reflection Snellโ€™s Law:
Snellโ€™s Law: n1Sin ฮฆ1= n2 Sin ฮฆ2
When ฮฆ2= 90, ฮฆ1= ฮฆc is the Critical Angle
ฮฆc=Sin-1(n2/n1)
Manav
Rachna
College
of
Engg.
Step Index Multimode Fiber
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Step and Graded Index Fibers
Manav
Rachna
College
of
Engg.
Graded Index Fiber
Manav
Rachna
College
of
Engg.
Total Internal Reflection
๏‚ข TIR
(a) A ray in thinly stratified medium becomes refracted as it passes from
one layer to the next upper layer with lower n and eventually its angle
satisfies TIR
(b) In a medium where n decreases continuously the path of the ray bends
continuously
Manav
Rachna
College
of
Engg.
Skew Rays
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Higher the Wavelength More the
Evanescent Field
Manav
Rachna
College
of
Engg.
Light Intensity
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Modal Dispersion
dispersion
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Optical fibers - attenuation
๏‚ข Traditionally two windows available:
๏‚— 1.3 mm and 1.55 mm
๏‚ข The lower window is used
with Si and GaAlAs
and the upper window
with InGaAsP compounds
๏‚ข Nowadays these attenuation windows
no longer separate (water-spike
attenuation
region can be removed)
๏‚ข There are single- and mono mode
fibers that may have step or
graded refraction index profile
๏‚ข Propagation in optical fibers
is influenced by attenuation,
scattering, absorption, and dispersion
๏‚ข In addition there are non-linear
effects that are important in
WDM-transmission
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Manav
Rachna
College
of
Engg.
Scattering loss: from index discontinuity
๏‚ข Scatterers are much smaller than the wavelength: Rayleigh and
Raman scattering
๏‚ข Scatterers are much bigger than the wavelength: geometric ray
optics
๏‚ข Scatterers are about the same size as the wavelength: Mie
scattering
๏‚ข Scatterers are sound waves: Brillouin scattering
Manav
Rachna
College
of
Engg.
Raman scattering
๏‚ข A small fraction of Rayleigh scattered light comes off at the difference
frequency between the applied light and the frequency of a molecular
vibration (a Stokes line)
๏‚ข In addition, some scattered light comes off at the sum frequency
(anti-Stokes
๏‚ข MIE Scattering
๏‚ข Similar effect to microbending loss
๏‚ข Mie scattering depends roughly on ฮป-2; scattering angle also depends
upon ฮป
๏‚ข In planar waveguide devices, roughness on side walls leads to
polarization-dependent loss
Manav
Rachna
College
of
Engg.
Couplers and connectors
๏‚ข Connectors:
๏‚ข Metallic system: Wire: Soldering: Lossless: Economical
๏‚ข Fiber system: fiber: Splicing: Loss: Economical
๏‚ข Splicing is the permanent connection of two optical fiber.
๏‚ข Two mechanism of splicing:
๏‚ข Fusion
๏‚ข Mechanical
๏‚ข Splices are of two types:
๏‚ข Midspan: the connecting of two cables
๏‚ข Pigtail: assembly of a fiber that has been factory-installed into
a connector in one end, with the other end free for splicing to
a cable.
๏‚ข The quality of splicing is measured by the insertion and reflection
losses caused by the splice
Manav
Rachna
College
of
Engg.
Couplers and connectors losses
๏‚ข Connectors losses at any splice stem from the fact that no all light
from one fiber is transmitted to another. The loss results from:
๏‚ข Mismatch: due to fiberโ€™s mechanical dimensions and numerical
aperture. An improvement in splicing technique can not solve
๏‚ข the problem. Also called intrinsic connection losses.
Misalignment: are caused by some imperfection in splicing,
that theoretically can be eliminated. An improvement in
splicing technique can solve the problem. Also called extrinsic
connection losses.
๏‚ข Misalignment Losses in fiber-to-fiber:
๏‚ข Core misalignment and imperfections.
๏‚ข Lateral (axial) misalignment
๏‚ข Angular misalignment
๏‚ข gap between ends contact
๏‚ข Non-flat ends
๏‚ข Cladding alignment
Manav
Rachna
College
of
Engg.

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