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lasers and optical fibres
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Rahithya Koppolu
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Optical fibres are used extensively in
communication systems
due to their
low signal loss
and
high bandwidth.
LASER stands for
Light Amplification by Stimulated Emission of Radiation
LASER
is used to produce a
unidirectional
,
extremely intense
, and
coherent
beam of
light
Characteristics/Properties of Laser Light:
Unidirectionality
Monochromaticity
High Intensity
Coherence
In
LASER
,
photons
are emitted in
one
direction along the
optical axis
of the system due to
stimulated emission
Laser beam
consists of
photons
of almost the same
wavelength
, giving a
single
color to the light
LASER
gives out
light
in a
narrow beam
with
energy concentrated
in a
small region
Light waves
emitted by the laser source are in
phase
and of the same
frequency
, making it
highly coherent
Interaction of Radiations with Matter:
Induced absorption
Spontaneous emission
Stimulated emission
Induced Absorption:
Absorption
of incident
photon
by an atom, leading to
excitation
to a
higher
energy state
Spontaneous Emission:
Emission of a
photon
by an atom from a
higher
energy state to a
lower
energy state without
external
energy
Stimulated Emission:
Emission of a
photon
by an atom in the
excited
state under the incidence of a passing
photon
of the right
energy
Boltzmann relation for the ratio of population of two atomic states:
Population
inversion
Expression for
energy density
of radiation in terms of
Einstein’s coefficients
Conditions for Laser Action:
Rate
of
stimulated
emission should dominate
spontaneous
emission and
induced absorption
Requisites of a
Laser System
:
Active medium
Three requisites of a laser system:
Active medium
:
Material medium
where population inversion and lasing action occur
Provides energy levels
for atomic transitions
Chosen based on possessing
metastable states
for achieving population inversion
Types of active mediums:
gas lasers
,
solid-state lasers
,
semiconductor lasers
,
liquid lasers
Classification of lasers based on active medium:
Gas lasers
: mixture of gases (e.g., He-Ne laser, CO2
laser)
Solid-state lasers
: crystals (e.g., Ruby laser, YAG laser)
Semiconductor lasers
: semiconductors (e.g., Gallium Arsenide laser)
Liquid lasers
: chemicals (e.g., Dye lasers)
Pumping:
Process of
raising
atoms from
lower
to
higher
energy states
Types of pumping techniques:
optical pumping
,
electric discharge
,
direct conversion
,
chemical reactions
Resonant
cavity:
Necessary
for generating
coherent
and
amplified
light output
Consists of
two parallel mirrors
with
active medium
in between
One mirror is
100
% reflecting, the other is
partially
reflecting
Maintains
standing wave pattern
with distance between mirrors
equal to n(λ/2)
for
resonance
condition
Three Level Pumping Scheme:
Excites
atoms to a
higher energy state
than the
upper laser state
Achieves population inversion
for
stimulated emission
Requires
high pumping power
and produces
light
in
pulses
Four Level Pumping Scheme:
Moves population from
lowest
state to
highest
fourth level
Attains population inversion between
third
and
second
levels for lasing
Operates in
continuous wave mode
with
less
power needed for population inversion
Helium-Neon Laser:
Construction:
Gas laser
with
Helium
and
Neon gases
in a
10
:
1
ratio
Resonant cavity
in a sealed
quartz tube
with
mirrors
and
electrodes
for
excitation
Working:
Electrical discharge
excites
He
and
Ne
atoms
Helium
atoms in
metastable
state transfer
energy
to
Neon
atoms
Achieves population
inversion between
Neon states
for
lasing
Emits light at
three
wavelengths due to
radiative transitions
Salient Features of He-Ne laser:
Uses
Four
level
pumping
scheme
Active centres are
Neon
atoms
Operates in
continuous wave mode
Semiconductor Laser:
Principle:
Based on
electron-hole recombination
in a direct band gap
semiconductor
Semiconductor
laser principle:
Based on
electron hole
recombination in a direct band gap
semiconductor
, resulting in
photon emission
Construction of a semiconductor laser:
Consists of a
p-n junction
with
heavily doped p-
and
n-
regions
Laser sides are about
1 mm
, with a
p-n junction layer
width of ~
1µm
Top and bottom faces have
metallic contacts
for current passage
Front and rear faces are polished
parallel
to each other and
perpendicular
to the
junction plane
, forming the
optical resonator
Other two opposite faces are
roughened
to prevent
lasing action
in that direction
Working of a semiconductor laser:
When forward biased, electrons move to
p-region
and
holes
to n-region
Electrons and holes recombine in the
junction
region, emitting
photons
At
low
current, spontaneous emission occurs; at
threshold
current, population inversion happens
Forward bias acts as a
pumping
source, triggering
stimulated
emission and producing a
laser
beam
Emission wavelength depends on
doping
and
threshold
current
Advantages of semiconductor lasers:
Compact
size
Lightweight
Good
reliability
Long
service life
Low
power consumption
Safe
operation
Low
maintenance cost
Applications of semiconductor lasers:
Optical
communication
Optical
data
storage
Laser
pointers
CD
and
DVD
writing/reading
Metrology
Spectroscopy
Material processing
Pumping
of other
lasers
Medical treatments
LIDAR
(
Light Detection
and
Ranging
):
Remote sensing method using
pulsed laser light
to measure ranges to the
Earth
Active remote sensing system for measuring
vegetation height
across wide areas
Provides precise, three-dimensional information about
Earth's shape
and
surface characteristics
Components include a
laser
,
scanner
, and
specialized GPS receiver
Used in
topographic
and
bathymetric
applications
Holography:
Technique for recording
3D
images on a
2D
surface using
interference
Requires
highly coherent laser light
Involves
recording
and
reconstructing holographic images
Used for various applications like
data storage
,
stress detection
, and
archival records
in museums
Optical fibre construction:
Consists of two main parts:
Core
: Inner cylindrical structure with refractive index
n1
Cladding
: Outer concentric cylinder with refractive index
n2
(n2 < n1)
Encapsulated in an elastic, abrasion-resistant plastic material jacket called
sheath
Working principle:
Transmission of light through
optical fibre
is based on total
internal reflection
Total Internal
Reflection:
Occurs when light travels from
denser
to
rarer medium
and the angle of
incidence
is
greater
than the
critical angle
for the pair of
media
Light gets reflected back in the
denser
medium, known as
total internal reflection
Critical angle:
The angle of
incidence
in the
denser
medium for which the angle of
refraction
in the
rarer
medium is
90
degrees
Calculated by Snell’s law of refraction: n1 sin θc = n2 sin 90 degrees, therefore θc =
sin-1
(n2/n1)
Acceptance angle (θo):
Maximum
allowed angle that the
incident ray
can make with the
fibre axis
for the
light ray
to pass through the
fibre
Numerical Aperture (NA):
Measure of the
light-gathering capacity
of the optical fibre
Defined as the
sine
of the acceptance angle:
NA
=
sin θo
Expression for numerical aperture (
NA
):
NA
=
√(n1^2 - n2^2) / n0
, where n0 is the
refractive index
of the surrounding medium (e.g.,
air
)
Condition of propagation:
Light ray will
propagate through the fiber if the angle of incidence is less than or equal to the acceptance angle
: θi ≤ θo
Fractional index change (Δ):
Ratio of the
refractive index difference
between
core
and
cladding
to the
refractive index
of the
core
of an
optical fibre
: Δ = (
n1
-
n2
) /
n1
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