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INTRODUCTION TO
FIBREOPTICS: PART-I
CONTENTS
• Evolution of fiber Optic system
• Element of an Optical Fiber Transmissionlink
• Ray Optics
• Optical Fiber Modes and Configurations
Introduction
• An optical Fiber is a thin, flexible, transparent Fiber
that acts as a waveguide, or "light pipe", to transmit
light between the two ends of theFiber.
• Optical fibers are widely used in Fiber-optic
communications, which permits transmission over
longer distances and at higher bandwidths (data rates)
than other forms of communication.
• Fibers are used instead of metal wires becausesignals
travel along them with less loss and are also immune
to electromagnetic interference.
Evolution of fiber Optic system
First generation
• The first generation of light wave systems usesGaAs
semiconductor laser and operating region wasnear
0.8 μm. Other specifications of this generation areas
under:
• i) Bit rate : 45 Mb/s
• ii) Repeater spacing : 10km
Second generation
i) Bit rate: 100 Mb/s to 1.7 Gb/s ii)Repeater
spacing: 50 km
iii) Operation wavelength: 1.3 μmiv)
Semiconductor: In GaAsP
Third generation
i) Bit rate : 10 Gb/s
ii) Repeater spacing: 100 km
iii) Operating wavelength: 1.55 μm
Evolution of fiber Optic system
Fourth generation
• Fourth generation uses WDM technique. i) Bitrate:
10 Tb/s
• ii) Repeater spacing: > 10,000km
• Iii) Operating wavelength: 1.45 to 1.62μm
Fifth generation
• Fifth generation uses Roman amplificationtechnique
and optical solitiors. i) Bit rate: 40 - 160Gb/s
• ii) Repeater spacing: 24000 km - 35000 kmiii)
Operating wavelength: 1.53 to 1.57 μm
Element of an Optical Fiber Transmissionlink
Basic block diagram of optical fibercommunication
system consists of following importantblocks.
1. Transmitter
2. Information channel
3. Receiver.
Block diagram of OFC system
• The light beam pulses are then fed into a fiber – optic
cable where they are transmitted over longdistances.
• At the receiving end, a light sensitive device known
as a photocell or light detector is used to detect the
light pulses.
• This photocell or photo detector converts the light
pulses into an electricalsignal.
• The electrical pulses are amplified and reshaped back
into digital form.
Fiber optic Cable
Fiber Optic Cable consists of fourparts.
• Core
• Cladding
• Buffer
• Jacket
Core. The core of a fiber cable is a cylinder of plastic
that runs all along the fiber cable’s length, andoffers
protection by cladding. The diameter of the core
depends on the application used. Due to internal
reflection, the light travelling within the corereflects
from the core, the cladding boundary. The corecross
section needs to be a circular one for most of the
applications.
Cladding
Cladding is an outer optical material that
protects the core. The main function of the claddingis
that it reflects the light back into the core. When light
enters through the core (dense material) into the
cladding(less dense material), it changes its angle,and
then reflects back to thecore.
Fiber optic Cable
Buffer
• The main function of the
buffer is to protect the
fiber from damage and
thousands of optical fibers
arranged in hundreds of
optical cables. These
bundles are protected by
the cable’s outer covering
that is called jacket.
JACKET
Fiber optic cable’s jackets are available in different
colors that can easily make us recognize the exact
color of the cable we are dealing with. The color
yellow clearly signifies a single mode cable, and
orange color indicatesmultimode.
• Both the light sources at the sending end and the light
detectors on the receiving end must be capable of
operating at the same data rate.
• The circuitry that drives the light source and the
circuitry that amplifies and processes the detected
light must both have suitable high-frequency
response.
• The fiber itself must not distort the high-speed light
pulses used in the datatransmission.
• They are fed to a decoder, such as a Digital – to –
Analog converter (D/A), where the original voice or
video is recovered.
• In very long transmission systems, repeaterunits
must be used along the way.
• Since the light is greatly attenuated when it travels
over long distances, at some point it may be tooweak
to be received reliably.
• To overcome this problem, special relay stationsare
used to pick up light beam, convert it back into
electrical pulses that are amplified and then
retransmit the pulses on anotherbeam.
• Several stages of repeaters may be needed oververy
long distances.
• But despite the attenuation problem, the loss isless
than the loss that occurs with the electriccables.
Characteristics of fiber
1)Wider bandwidth: The optical carrier frequency isin
the range 10^13 Hz to 10^15Hz.
2)Low transmission loss: The fibers havinga
transmission loss of 0.002dB/km.
3)Dielectric waveguide: Optical fibers are made from
silica which is an electrical insulator. Therefore theydo
not pickup any electromagnetic wave or any high
current lightning.
4)Signal security: The transmitted signal through
the fibers does not radiate. Further the signalcannot
be tapped from a Fiber in an easymanner.
5)Small size and weight: Fiber optic cables are
developed with small radii, and they areflexible,
compact and lightweight. The fiber cables canbe
bent or twisted withoutdamage.
Operation of fiber
• Ahair-thin Fiber consist of two concentric layers of
high-purity silica glass the core and the cladding,
which are enclosed by a protective sheath.
• Core and cladding have different refractive indices,
with the core having a refractive index, n1, which is
slightly higher than that of the cladding,n2.
• It is this difference in refractive indices thatenables
the Fiber to guide the light. Because of this guiding
property, the Fiber is also referred to as an “optical
waveguide.”
Advatages of optical fiber
1)WAVELENGTH :It is a characteristic of light that is
emitted from the light source and is measures in
nanometres (nm).
2)FREQUENCY :It is number of pulse per second
emitted from a light source. Frequency is measuredin
units of hertz (Hz). In terms of optical pulse 1Hz = 1
pulse/ sec.
3)WINDOWS :A narrow window is defined as therange
of wavelengths at which a fibre bestoperates.
4)ATTENUATION: Attenuation in optical fiber is
caused by intrinsic factors, primarily scattering and
absorption, and by extrinsic factors, including stressfrom
the manufacturing process, the environment, andphysical
bending.
5)DISPERSION :Dispersion is the spreading of light
pulse as its travels down the length of an optical fibre .
Dispersion limits the bandwidth or informationcarrying
capacity of a fibre.
Disadvantages of opticalfiber
• High investment cost
• Need for more expensive optical transmittersand
receivers
• More difficult and expensive to splice thanwires
• Price
• Fragility
• Affected by chemicals
• Opaqueness
• Requires special skills
Ray Optics
Basic laws of ray theory/geometricoptics
• The basic laws of ray theory are quiteself-
explanatory
• In a homogeneous medium, light rays are straight
lines.Light may be absorbed or reflected.
• Reflected ray lies in the plane of incidence andangle
of incidence will be equal to the angle ofreflection.
• At the boundary between two media of different
refractive indices, the refracted ray will lie inthe
plane of incidence. Snell’s Law will give the
relationship between the angles of incidenceand
refraction.
Ray Optics
Refraction of light
• As a light ray passes from
one transparent medium to
another, it changes direction;
this phenomenon is called
refraction of light. How much
that light ray changes its
direction depends on the
refractive index of the
mediums.
Ray Optics
Refractive Index
• Refractive index is the speed of light in a vacuum
(abbreviated c, c=299,792.458km/second) dividedby
the speed of light in a material (abbreviated v).
Refractive index measures how much a material
refracts light. Refractive index of a material,
abbreviated as n, is defined as
• n=c/v
Ray Optics
Snells Law
• When light passes from one
transparent material to another, it
bends according to Snell's law which
is defined as:
n1sin(θ1) = n2sin(θ2)
where:
n1 is the refractive index of the
medium the light is leaving
θ1 is the incident angle between the light beam and
the normal (normal is 90° to the interface between
two materials)
n2 is the refractive index of the material the light is
entering
θ2 is the refractive angle between the light ray and
the normal
Ray Optics
Critical angle
• The critical angle can be calculated from Snell's law,
putting in an angle of 90° for the angle of the refracted
ray θ2. This gives θ1:
Since
θ2 = 90°
So
sin(θ2) = 1
Then
θc = θ1 = arcsin(n2/n1)
Numerical Aperture (NA) For step-index
multimode fiber, the acceptance angle isdetermined
only by the indices of refraction:
Where
n is the refractive index of the medium lightis
traveling before entering the fiber
nf is the refractive index of the fiber core
nc is the refractive index of the cladding
Ray Optics
Total internal reflection
• If the light hits the interface at
any angle larger than this critical
angle, it will not pass through to
the second medium at all.
Instead, all of it will be reflected
back into the first medium, a
process known as total internal
reflection.
Fiber Optic Modes
Mode is the one which describes the nature of
propagation of electromagnetic waves in a wave
guide.
i.e. it is the allowed direction whose associated angles
satisfy the conditions for total internal reflection and
constructive interference.
Based on the number of modes that propagates through
the optical fiber, they are classifiedas:
•
•
Single mode fibers
Multi mode fibers
Single mode fibers
• In a fiber, if only one mode is transmitted through it,
then it is said to be a single modefiber.
• A typical single mode fiber may have a core radius of
3 μm and a numerical aperture of 0.1 at a wavelength
of 0.8 μm.
• The condition for the single mode operation is given
by the V number of the fiber which is defined as such
that V ≤ 2.405.
• Here, n1 = refractive index of the core; a = radius of
the core; λ = wavelength of the light propagating
through the fiber; Δ = relative refractive indices
difference.
Single mode fibers
Single mode fibers
• Only one path is available.
• V-number is less than 2.405
• Core diameter is small
• No dispersion
• Higher band width (1000 MHz)
• Used for long haul communication
• Fabrication is difficult and costly
Multimode fibers
Multi mode fibers
• If more than one mode is transmitted through optical
fiber, then it is said to be a multimodefiber.
• The larger core radii of multimode fibers make it
easier to launch optical power into the fiber and
facilitate the end to end connection of similarpowers.
Some of the basic properties of multimode optical
fibers are listed below :
• More than one path is available
• V-number is greater than 2.405
Types of fibers based on Refractive Index Profile
Based on the refractive index profile of the core and
cladding, the optical fibers are classified intotwo
types:
– Step index fiber
– Graded index fiber
Step index fiber
• In a step index fiber, the refractive index changes in a
step fashion, from the centre of the fiber, the core, to
the outer shell, thecladding.
• It is high in the core and lower in the cladding. The
light in the fiber propagates by bouncing back and
forth from core-claddinginterface.
• The step index fibers propagate both single and
multimode signals within the fibercore.
• The light rays propagating through it are in the form
of meridinal rays which will cross the fiber core axis
during every reflection at the core – cladding
boundary and are propagating in a zig – zagmanner.
Step index fiber
• With careful choice of material, dimensions and ,
the total dispersion can be made extremely small, less
than 0.1 ps /(km  nm), making this fiber suitable for
use with high data rates.
• In a single-mode fiber, a part of the light propagates
in the cladding.
• The cladding is thick and has lowloss.
• Typically, for a core diameter of 10 m, the cladding
diameter is about 120 m.
• Handling and manufacturing of single mode step
index fiber is more difficult.
Step index multimode fibers
•A multimode step index fiber isshown.
• In such fibers light propagates in many
modes.
•The total number of modes MN increases
with increase in the numericalaperture.
•For a larger number of modes, MN
approximated by
can be
Step index multimode fibers
where d = diameter of the core of the fiber and V = V –
number or normalized frequency.
The normalized frequency V is a relation among the fiber
size, the refractive indices and the wavelength. V is the
normalized frequency or simply the V number and is given
by
where a is the fiber core radius,  is the operating
wavelength, n1 the core refractive index and  the relative
refractive index difference
Graded index fiber
• A graded index fiber is shown in Fig.3.27. Here, the
refractive index n in the core varies as we move away
from the centre.
• The refractive index of the core is made to vary in the
form of parabolic manner such that the maximum
refractive index is present at the centre of thecore.
• The refractive index (n) profile with reference to the
radial distance (r) from the fiber axis is givenas:
Graded index fiber
1
2
1 2 Δ
 
 
 
 



n 1 




 
 a
 r 
2
1
n1(1 2Δ) 2
when r = 0, n(r) = n1
r < a, n(r) =
r ≥ a, n(r) = n2 =
At the fiber centre we have n1; at the cladding we
have n2; and in between we have n(r), where n is
the function of the particular radius as shown in
Fig. simulates the change in n in a stepwise
manner.
Graded index fiber
Graded index fiber
• Each dashed circle represents a different refractive
index, decreasing as we move away from the fiber
center.
• A ray incident on these boundaries between na – nb,
nb – nc etc., is refracted.
• Eventually at n2 the ray is turned around and totally
reflected.
• This continuous refraction yields the ray tracings as
shown in Fig.
Graded index fiber
• The light rays will be propagated in the form skew
rays (or) helical rays which will not cross the fiber
axis at any time and are propagating around thefiber
axis in a helical or spiralmanner.
• The effective acceptance angle of the graded-index
fiber is somewhat less than that of an equivalentstep-
index fiber. This makes coupling fiber to the light
source more difficult.
Reference book
Introduction to fiber optics, AK Ghatak & K
Thyagarajan, Cambridge University
Press (1998)

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Vaccine management system project report documentation..pdf
 

Fiber-optics-part-I.pdf

  • 2. CONTENTS • Evolution of fiber Optic system • Element of an Optical Fiber Transmissionlink • Ray Optics • Optical Fiber Modes and Configurations
  • 3. Introduction • An optical Fiber is a thin, flexible, transparent Fiber that acts as a waveguide, or "light pipe", to transmit light between the two ends of theFiber. • Optical fibers are widely used in Fiber-optic communications, which permits transmission over longer distances and at higher bandwidths (data rates) than other forms of communication. • Fibers are used instead of metal wires becausesignals travel along them with less loss and are also immune to electromagnetic interference.
  • 4. Evolution of fiber Optic system First generation • The first generation of light wave systems usesGaAs semiconductor laser and operating region wasnear 0.8 μm. Other specifications of this generation areas under: • i) Bit rate : 45 Mb/s • ii) Repeater spacing : 10km
  • 5. Second generation i) Bit rate: 100 Mb/s to 1.7 Gb/s ii)Repeater spacing: 50 km iii) Operation wavelength: 1.3 μmiv) Semiconductor: In GaAsP Third generation i) Bit rate : 10 Gb/s ii) Repeater spacing: 100 km iii) Operating wavelength: 1.55 μm
  • 6. Evolution of fiber Optic system Fourth generation • Fourth generation uses WDM technique. i) Bitrate: 10 Tb/s • ii) Repeater spacing: > 10,000km • Iii) Operating wavelength: 1.45 to 1.62μm Fifth generation • Fifth generation uses Roman amplificationtechnique and optical solitiors. i) Bit rate: 40 - 160Gb/s • ii) Repeater spacing: 24000 km - 35000 kmiii) Operating wavelength: 1.53 to 1.57 μm
  • 7. Element of an Optical Fiber Transmissionlink Basic block diagram of optical fibercommunication system consists of following importantblocks. 1. Transmitter 2. Information channel 3. Receiver.
  • 8. Block diagram of OFC system
  • 9. • The light beam pulses are then fed into a fiber – optic cable where they are transmitted over longdistances. • At the receiving end, a light sensitive device known as a photocell or light detector is used to detect the light pulses. • This photocell or photo detector converts the light pulses into an electricalsignal. • The electrical pulses are amplified and reshaped back into digital form.
  • 10. Fiber optic Cable Fiber Optic Cable consists of fourparts. • Core • Cladding • Buffer • Jacket Core. The core of a fiber cable is a cylinder of plastic that runs all along the fiber cable’s length, andoffers protection by cladding. The diameter of the core depends on the application used. Due to internal reflection, the light travelling within the corereflects from the core, the cladding boundary. The corecross section needs to be a circular one for most of the applications.
  • 11. Cladding Cladding is an outer optical material that protects the core. The main function of the claddingis that it reflects the light back into the core. When light enters through the core (dense material) into the cladding(less dense material), it changes its angle,and then reflects back to thecore.
  • 12. Fiber optic Cable Buffer • The main function of the buffer is to protect the fiber from damage and thousands of optical fibers arranged in hundreds of optical cables. These bundles are protected by the cable’s outer covering that is called jacket.
  • 13. JACKET Fiber optic cable’s jackets are available in different colors that can easily make us recognize the exact color of the cable we are dealing with. The color yellow clearly signifies a single mode cable, and orange color indicatesmultimode.
  • 14. • Both the light sources at the sending end and the light detectors on the receiving end must be capable of operating at the same data rate. • The circuitry that drives the light source and the circuitry that amplifies and processes the detected light must both have suitable high-frequency response. • The fiber itself must not distort the high-speed light pulses used in the datatransmission. • They are fed to a decoder, such as a Digital – to – Analog converter (D/A), where the original voice or video is recovered.
  • 15. • In very long transmission systems, repeaterunits must be used along the way. • Since the light is greatly attenuated when it travels over long distances, at some point it may be tooweak to be received reliably. • To overcome this problem, special relay stationsare used to pick up light beam, convert it back into electrical pulses that are amplified and then retransmit the pulses on anotherbeam. • Several stages of repeaters may be needed oververy long distances. • But despite the attenuation problem, the loss isless than the loss that occurs with the electriccables.
  • 16. Characteristics of fiber 1)Wider bandwidth: The optical carrier frequency isin the range 10^13 Hz to 10^15Hz. 2)Low transmission loss: The fibers havinga transmission loss of 0.002dB/km. 3)Dielectric waveguide: Optical fibers are made from silica which is an electrical insulator. Therefore theydo not pickup any electromagnetic wave or any high current lightning.
  • 17. 4)Signal security: The transmitted signal through the fibers does not radiate. Further the signalcannot be tapped from a Fiber in an easymanner. 5)Small size and weight: Fiber optic cables are developed with small radii, and they areflexible, compact and lightweight. The fiber cables canbe bent or twisted withoutdamage.
  • 18. Operation of fiber • Ahair-thin Fiber consist of two concentric layers of high-purity silica glass the core and the cladding, which are enclosed by a protective sheath. • Core and cladding have different refractive indices, with the core having a refractive index, n1, which is slightly higher than that of the cladding,n2. • It is this difference in refractive indices thatenables the Fiber to guide the light. Because of this guiding property, the Fiber is also referred to as an “optical waveguide.”
  • 19. Advatages of optical fiber 1)WAVELENGTH :It is a characteristic of light that is emitted from the light source and is measures in nanometres (nm). 2)FREQUENCY :It is number of pulse per second emitted from a light source. Frequency is measuredin units of hertz (Hz). In terms of optical pulse 1Hz = 1 pulse/ sec.
  • 20. 3)WINDOWS :A narrow window is defined as therange of wavelengths at which a fibre bestoperates. 4)ATTENUATION: Attenuation in optical fiber is caused by intrinsic factors, primarily scattering and absorption, and by extrinsic factors, including stressfrom the manufacturing process, the environment, andphysical bending. 5)DISPERSION :Dispersion is the spreading of light pulse as its travels down the length of an optical fibre . Dispersion limits the bandwidth or informationcarrying capacity of a fibre.
  • 21. Disadvantages of opticalfiber • High investment cost • Need for more expensive optical transmittersand receivers • More difficult and expensive to splice thanwires • Price • Fragility • Affected by chemicals • Opaqueness • Requires special skills
  • 22. Ray Optics Basic laws of ray theory/geometricoptics • The basic laws of ray theory are quiteself- explanatory • In a homogeneous medium, light rays are straight lines.Light may be absorbed or reflected. • Reflected ray lies in the plane of incidence andangle of incidence will be equal to the angle ofreflection. • At the boundary between two media of different refractive indices, the refracted ray will lie inthe plane of incidence. Snell’s Law will give the relationship between the angles of incidenceand refraction.
  • 23. Ray Optics Refraction of light • As a light ray passes from one transparent medium to another, it changes direction; this phenomenon is called refraction of light. How much that light ray changes its direction depends on the refractive index of the mediums.
  • 24. Ray Optics Refractive Index • Refractive index is the speed of light in a vacuum (abbreviated c, c=299,792.458km/second) dividedby the speed of light in a material (abbreviated v). Refractive index measures how much a material refracts light. Refractive index of a material, abbreviated as n, is defined as • n=c/v
  • 25. Ray Optics Snells Law • When light passes from one transparent material to another, it bends according to Snell's law which is defined as: n1sin(θ1) = n2sin(θ2) where: n1 is the refractive index of the medium the light is leaving
  • 26. θ1 is the incident angle between the light beam and the normal (normal is 90° to the interface between two materials) n2 is the refractive index of the material the light is entering θ2 is the refractive angle between the light ray and the normal
  • 27. Ray Optics Critical angle • The critical angle can be calculated from Snell's law, putting in an angle of 90° for the angle of the refracted ray θ2. This gives θ1: Since θ2 = 90° So sin(θ2) = 1 Then θc = θ1 = arcsin(n2/n1)
  • 28. Numerical Aperture (NA) For step-index multimode fiber, the acceptance angle isdetermined only by the indices of refraction: Where n is the refractive index of the medium lightis traveling before entering the fiber nf is the refractive index of the fiber core nc is the refractive index of the cladding
  • 29. Ray Optics Total internal reflection • If the light hits the interface at any angle larger than this critical angle, it will not pass through to the second medium at all. Instead, all of it will be reflected back into the first medium, a process known as total internal reflection.
  • 30. Fiber Optic Modes Mode is the one which describes the nature of propagation of electromagnetic waves in a wave guide. i.e. it is the allowed direction whose associated angles satisfy the conditions for total internal reflection and constructive interference. Based on the number of modes that propagates through the optical fiber, they are classifiedas: • • Single mode fibers Multi mode fibers
  • 31. Single mode fibers • In a fiber, if only one mode is transmitted through it, then it is said to be a single modefiber. • A typical single mode fiber may have a core radius of 3 μm and a numerical aperture of 0.1 at a wavelength of 0.8 μm. • The condition for the single mode operation is given by the V number of the fiber which is defined as such that V ≤ 2.405. • Here, n1 = refractive index of the core; a = radius of the core; λ = wavelength of the light propagating through the fiber; Δ = relative refractive indices difference.
  • 33. Single mode fibers • Only one path is available. • V-number is less than 2.405 • Core diameter is small • No dispersion • Higher band width (1000 MHz) • Used for long haul communication • Fabrication is difficult and costly
  • 35. Multi mode fibers • If more than one mode is transmitted through optical fiber, then it is said to be a multimodefiber. • The larger core radii of multimode fibers make it easier to launch optical power into the fiber and facilitate the end to end connection of similarpowers. Some of the basic properties of multimode optical fibers are listed below : • More than one path is available • V-number is greater than 2.405
  • 36. Types of fibers based on Refractive Index Profile Based on the refractive index profile of the core and cladding, the optical fibers are classified intotwo types: – Step index fiber – Graded index fiber
  • 37. Step index fiber • In a step index fiber, the refractive index changes in a step fashion, from the centre of the fiber, the core, to the outer shell, thecladding. • It is high in the core and lower in the cladding. The light in the fiber propagates by bouncing back and forth from core-claddinginterface. • The step index fibers propagate both single and multimode signals within the fibercore. • The light rays propagating through it are in the form of meridinal rays which will cross the fiber core axis during every reflection at the core – cladding boundary and are propagating in a zig – zagmanner.
  • 38. Step index fiber • With careful choice of material, dimensions and , the total dispersion can be made extremely small, less than 0.1 ps /(km  nm), making this fiber suitable for use with high data rates. • In a single-mode fiber, a part of the light propagates in the cladding. • The cladding is thick and has lowloss. • Typically, for a core diameter of 10 m, the cladding diameter is about 120 m. • Handling and manufacturing of single mode step index fiber is more difficult.
  • 39. Step index multimode fibers •A multimode step index fiber isshown. • In such fibers light propagates in many modes. •The total number of modes MN increases with increase in the numericalaperture. •For a larger number of modes, MN approximated by can be
  • 40. Step index multimode fibers where d = diameter of the core of the fiber and V = V – number or normalized frequency. The normalized frequency V is a relation among the fiber size, the refractive indices and the wavelength. V is the normalized frequency or simply the V number and is given by where a is the fiber core radius,  is the operating wavelength, n1 the core refractive index and  the relative refractive index difference
  • 41. Graded index fiber • A graded index fiber is shown in Fig.3.27. Here, the refractive index n in the core varies as we move away from the centre. • The refractive index of the core is made to vary in the form of parabolic manner such that the maximum refractive index is present at the centre of thecore. • The refractive index (n) profile with reference to the radial distance (r) from the fiber axis is givenas:
  • 42. Graded index fiber 1 2 1 2 Δ            n 1         a  r  2 1 n1(1 2Δ) 2 when r = 0, n(r) = n1 r < a, n(r) = r ≥ a, n(r) = n2 = At the fiber centre we have n1; at the cladding we have n2; and in between we have n(r), where n is the function of the particular radius as shown in Fig. simulates the change in n in a stepwise manner.
  • 44. Graded index fiber • Each dashed circle represents a different refractive index, decreasing as we move away from the fiber center. • A ray incident on these boundaries between na – nb, nb – nc etc., is refracted. • Eventually at n2 the ray is turned around and totally reflected. • This continuous refraction yields the ray tracings as shown in Fig.
  • 45. Graded index fiber • The light rays will be propagated in the form skew rays (or) helical rays which will not cross the fiber axis at any time and are propagating around thefiber axis in a helical or spiralmanner. • The effective acceptance angle of the graded-index fiber is somewhat less than that of an equivalentstep- index fiber. This makes coupling fiber to the light source more difficult.
  • 46. Reference book Introduction to fiber optics, AK Ghatak & K Thyagarajan, Cambridge University Press (1998)