SlideShare a Scribd company logo
1 of 81
Prof. J. K. Goswamy
UIET, Panjab University
Chandigarh.
POLARIZATION OF LIGHT
It is phenomenon of restricting
electric vector vibrations of light along a plane
which may or may not rotate about the direction of propagation.
Polarization: Basic Concept
Plane Wave
 It is an infinitely long light wave with a wide wave-front.
 Electric and magnetic fields oscillations are mutually
perpendicular and also perpendicular to the direction of
propagation.
 Light waves propagate in air with the electric and magnetic field
vectors vibrating with same phase and frequency.
 Light wave propagating in the x direction is expressed as:
 The electric vector amplitude is 378 times larger than that of the
magnetic vector.
ẑ
t)
-
kx
cos(
B
)
t
x,
(
B
;
ŷ
t)
-
kx
cos(
E
)
t
x,
(
E 0z
z
0y
y 
 



Unpolarized (Ordinary) Light
A plane (or ordinary or unpolarized) light wave can be approximated as
constituted by electric field vector oscillating in all possible directions in a
plane perpendicular to the direction of propagation of light.
 The ordinary light wave is
characterized by its oscillating
electric vector which has
symmetric distribution in the plane
perpendicular to the direction of
propagation. This is unpolarized (or
ordinary or natural) light.
 The electric vector vibrations in the
ordinary light can be resolved into
two orthogonal components which
oscillate with same frequency but
can be characterized by different
amplitudes and phase.
 The shape traced out by vibrating electric vector, as the plane
wave propagates, defines the State of Polarization (SOP) of light.
Polarization: Mechanical Analogue
• The light vibrations have been
restricted in vertical direction on
passing through the polarizer 1.
This phenomenon of restricting
light vibrations along a specific
direction is called Polarization.
• The plane of light oscillations is the
plane of vibration. The other plane,
perpendicular to it and devoid of
light oscillations is the plane of
polarization.
Linearly Polarized Light
Elliptically Polarized light
Circularly Polarized Light
States of Polarization
Superposition of Polarized Waves
 Let’s consider two polarized light waves having their light
vector oscillations mutually perpendicular to each other and
propagating along x-direction. These are represented
mathematically as:
 These two waves are propagating with a phase difference of θ.
The resultant superposed wave is to be analyzed.
ẑ
)
t
-
kx
cos(
E
)
t
x,
(
E
ŷ
t)
-
kx
cos(
E
)
t
x,
(
E
0z
z
0y
y








 Both the light waves have electric field oscillations in YZ plane.
We wish to study their time variation in this plane (say x=0),
which will define relation between instantaneous
displacements of two waves and their relative phase.
 
 
:
,
1
sin
cos
sin
sin
cos
cos
cos
1
sin
;
cos
;
cos
2
2
get
we
equation
above
the
solving
and
Squaring
E
E
E
E
E
E
t
t
E
E
t
E
E
t
E
E
t
E
E
t
oy
y
oy
y
oz
z
oz
z
oy
y
oz
z
oy
y


















































 2
2
2
sin
cos
2 


































oy
y
oz
z
oz
z
oy
y
E
E
E
E
E
E
E
E
States of Polarization
 The equation describing different states of polarization is:
 Depending upon relative phase difference between two
superposing waves, we have different SOP as:
,...
2
,
1
,
0
2
)
1
2
(
2
)
1
2
(








n
Polarized
Circularly
E
E
n
Polarized
ly
Elliptical
E
E
n
Polarized
Linearly
n
oz
oy
oz
oy







 2
2
2
sin
cos
2 


































oz
z
oy
y
oz
z
oy
y
E
E
E
E
E
E
E
E
 The Linearly polarized light is
represented as:
 This state of polarization results in
light vector oscillations along a line.
 Symmetric distribution of oscillating
electric vector about the direction
of propagation no longer exists.


















0z
0y
z
y
E
E
E
E
Linear Polarization
Elliptical Polarization
• The elliptic polarized light is mathematically represented as:
• This state of polarization can be viewed as resulting due to superposition of
two linearly polarized waves propagating in same direction with their light
oscillations in mutually perpendicular directions and having relative phase
difference of 90o.
• When the two light oscillations do not have the
 same amplitude
and/or
 phase difference slightly different from 90o
the resultant electric vector traces out an ellipse in the plane of
vibration which is referred to as the polarization ellipse.
1
E
E
E
E
2
0z
z
2
0y
y




















REP: Right Elliptic Polarization
(CW rotation of electric vector
while approaching observer)
LEP: Left Elliptic Polarization
(ACW rotation of electric vector
while approaching observer)
Sense in Elliptical Polarization
An ellipse is represented by
relative size of minor/major axes
and orientation in space. The
sense of rotation is CW or ACW.
Circular Polarization
 If two linearly polarized light waves with
phase difference = 900 and E0z = E0y
superpose, then circularly polarized wave
results:
 During propagation of such waves, the
oscillating electric vector rotates at uniform
angular velocity.
 Similar to elliptic polarization, we define
right and left circular polarization
1
E
E
E
E
2
0y
y
2
0z
z


















Other States of Polarization
 Unpolarized
 Linearly polarized + Unpolarized
 Elliptically polarized + Unpolarized
 Circularly Polarized + Unpolarized
 Elliptically polarized + Linearly polarized
 Circularly Polarized + Linearly polarized
Methods of Polarization
 Dichorism
 Reflection
 Scattering
 Birefringence
Polarization by Dichorism
Technique of selective absorption of electric vector vibrations in one
of the two orthogonal directions forms the basis of Dichorism.
Wire-Grid Polarizer
 Grid is an array of parallel thin
conducting wires with their spacing
comparable to the wavelength of light.
 Electric field oscillations parallel to
wires gets attenuated due to current
induced by them in wires. Energy of
this component appears as heat.
 Electric field oscillations parallel to
wires get transmitted as polarized
output from the wire grid.
 Applicable for polarization of
IR and longer wavelengths.
 Wire grids paved the way for
atomic and molecular grids.
Dichorism
• Certain crystals strongly
absorb the incident light
oscillations along one
direction (absorption axis
of crystal).
• They easily transmit the
light oscillations in other
direction which is
perpendicular (optic axis
of crystal) to it.
Tourmaline, Quartz
J-sheet (Grid of Crystallites)
 These were fabricated by E.H. Land in 1928.
 Herapathite (Quinine Iodosulphate) crystal was grinded into
millions of needle shaped submicroscopic crystallites.
 They were aligned as long parallel crystallite’s chains by using
external electric and magnetic fields.
 The Herapathite crystallites can also be aligned by extruding its
viscous colloidal solution (in nitrocellulose) through a very long
and narrow slit.
 This polaroid has optic axis perpendicular to the length of chain.
 The component of electric vibrations parallel to chain are absorbed
while those perpendicular to the chain get transmitted.
Gives hazy appearance due to scattering of light by numerous crystallites.
H-sheet (Grid of Polymer Chain)
 A sheet of polyvinyl alcohol is gently heated and stretched in a given
direction resulting in alignment of its hydrocarbon molecules along
long molecular chains.
 It is then dipped in ink solution (rich in iodine), which impregnates
the plastic. The iodine molecules get attached along length of long
polymeric chain of hydrocarbon molecules, while forming effective
polymeric chains of their own. The free electrons of iodine move
along the chain thereby emulating a long conducting wire.
 The electric field component of light parallel to chain gets absorbed
while the perpendicular component is easily transmitted.
 In H-sheets, the hazy appearance is significantly reduced as scattering is
caused by molecules rather than the submicroscopic crystals.
H-sheets are effective polarizers over the entire visible spectrum.
 K-Polaroids are made by stretching polyvinylene sheet by
slight heating in the presence of dehydrating agent (such
as HCl). Such polaroids are resistant to humidity and heat.
 HK Polaroids: A combination of ingredients of H and K
sheet form HK-sheets which are very good polarizers for
light in the near infra-red region.
 Other Polaroids: Dichoric sheet linear polarizers are also
available, which are effective in the UV region of
electromagnetic spectrum.
Polarization by Reflection
Transparent surfaces selectively reflect one component of electric vector
vibrations at a particular angle of incidence, which is polarized in nature.
Polarization By Reflection
 The reflection coefficient for light, which has electric
field oscillations in the plane of incidence, reduces
to zero at some angle between 0° and 90°(often
called polarizing or Brewster angle).
 The light reflected at that angle is linearly polarized
with its electric field vector oscillations
perpendicular to the plane of incidence and parallel
to the plane of the reflecting surface.
 At other angles, the reflected light has admixture of
both the components of polarization.
 The transmitted or refracted light remains partially
polarized at all angles of incidence of unpolarized
light.
Brewster
Angle
Angle of Incidence
Reflected
Intensity
Reflected
Intensity
Brewster Angle
The reflection coefficients
are different for waves
parallel and perpendicular
to the plane of incidence.
When light is incident at
the Brewster angle, the
reflected light is linearly
polarized because
reflection coefficient for
parallel component is zero.
Reflected intensity for
waves having electric
field oscillations
parallel and
perpendicular to the
plane of incidence.
Brewster’s Law
From Fresnel's equations, it can be determined that the
parallel reflection coefficient is zero, when the incident
and transmitted angles sum up to 90°. The use of Snell's
law gives an expression for the Brewster angle.
Polarization by Stack of Plates
on
Polarizati
of
Degree
n
n
m
m
I
I
I
I
P 








2
2
1
2


S-polarized
P-polarized
Unpolarize
d
Polarization by Scattering
Scattered light observed in orthogonal direction, to that
of its incidence, yields the polarized light.
Polarization by Scattering
 The light scattered by scatterers (air molecules or
suspended particles) produce linearly polarized
light, when observed in the plane perpendicular to
direction of propagation of the incident light.
 When light is incident on an atom or a molecule, its
electronic cloud oscillates under the influence of
electric vector vibrations. The atom or molecule
behaves like a oscillating dipole which radiates EM
energy like an antenna in all directions other than
its line of oscillation.
 If the charges in a molecule are oscillating along the
y-axis, it will not radiate along the y-axis. Therefore,
at 90° away from the beam direction, the scattered
light will always be linearly polarized.
Double Refraction
Anisotropic media split natural light into two purely
polarized beams having vastly different optical properties.
What is Double Refraction ?
 Double refraction is the splitting of
a ray of light into two rays, when
passing through anisotropic
materials such as Calcite, Quartz.
 This phenomenon was first
reported by Erasmus Bartholinus in
1669.
 Both the rays of light are plane
polarized with their planes of
polarization being mutually
perpendicular.
All transparent crystals, except those in cubic form, are double refracting. However in
most cases, the separation of two images is usually not large enough to be observable.
Property O-Ray E-Ray
Snell’s Law Obeys Snell’s law Doesn’t obey Snell’s law
E-Field Vibrations Electric field vibrations are
perpendicular to optic axis
Electric field vibrations are
along the optic axis.
Refractive Index Material exhibits different refractive index for two waves.
This property is called birefringence.
Shape of wave front Propagates with same
speed in all directions and
wave front is spherical in
shape.
Speed dependent on
direction in crystal w.r.t optic
axis and hence wave front
is spheroidal in shape.
Physics of Birefringence
• When light propagates through a transparent
substance, the electrons of the constituent atoms
are driven by the oscillating electric field.
• These electrons, vibrating under the influence of
external electric field, behave like oscillating dipoles,
which radiate electromagnetic energy in all
directions except along their line of oscillation.
• The emitted secondary wavelets superpose to form
the refracted wave-front.
• The speed of the refracted light and hence the
index of refraction of the medium is determined
by the frequency of oscillating electric field and
natural frequency of the atomic vibrations.
• Since there is anisotropy in forces binding the
atoms in the molecule as well as electrons in the
constituent atoms, this results in directional
dependence of refractive index of the medium.
Birefringence: Uniaxial Crystals
 The optic axis is the direction in the birefringent crystal along which
E-ray and O-ray propagate with the same speed.
 If the material has single optic axis, it is uniaxial or birefringent in
nature. Such a material is characterized by different refractive indices
for ordinary and extraordinary polarizations.
 The birefringent crystal is
 Positive If O-ray propagates faster than E-ray.
 Negative If O-ray propagates slower than E-ray.
 Non-cubic transparent crystals having hexagonal or tetragonal unit
cells are usually uniaxial in nature.
Uniaxial Material no ne Δn = ne-no
Beryl {Be3Al2(SiO3)6} 1.602 1.557 -0.045
Calcite (CaCO3) 1.658 1.486 -0.172
Calomel (Hg2Cl2) 1.973 2.656 +0.683
Ice (H2O) 1.309 1.313 +0.004
Magnesium Fluoride (MgF2) 1.380 1.385 +0.006
Quartz (SiO2) 1.544 1.553 +0.009
Ruby (Al2O3) 1.770 1.762 -0.008
Rutile (TiO2) 2.616 2.903 +0.287
Sapphire (Al2O3) 1.768 1.760 -0.008
Sodium Nitrate (NaNO3) 1.587 1.336 -0.251
Tourmaline (Complex Silicate ) 1.669 1.638 -0.031
Zircon (ZrSiO4) 1.960 2.015 +0.055
Nicol Prism: Construction
 It was first type of polarizing prism
invented by William Nicol in 1828.
 It consists of a calcite crystal of
length thrice its width. The faces of
this crystal have natural angles of 71o
and 109o.
 Crystal faces are cut and polished to
have angles of 68° & 112o.
 The crystal is split diagonally and
resulting diagonal plane surfaces of
two halves are polished.
 Two polished halves are rejoined by
a layer of canada balsam, which is a
glue with opaque grey color.
71o
A
A’
B
D
C’
C
E-ray
O-ray
68o
An optical device to produce and
analyse plane polarized light.
Nicol Prism: Polarizing Action
 Unpolarized light enters one end of the crystal and is split
into two polarized (o- and e-rays) rays by birefringence.
 The ordinary ray propagating through the calcite (no = 1.658)
suffers total internal reflection at the balsam layer (being a
rarer medium with refractive index n = 1.526). This ray is
absorbed by blackened surface forming the sides of prism.
 The extraordinary ray propagates through calcite crystal (ne =
1.486) and suffers refraction at the balsam layer interface,
and leaves the prism as plane polarized light.
 E-ray is derived out as a polarized beam.
Malus' Law
Law of Malus’
Amplitude of light transmitted by polarizer:
Intensity = Const .(Amplitude)2
Crossed
Polarizers
Optical Activity
The rotation of the plane of polarization of a polarized light
is optical activity and is a special type of birefringence.
• The rotation of the orientation of plane of linearly polarized light was
first observed in 1811 in quartz by Dominique Arago.
• Biot observed the similar effect in organic liquids and gases.
• Herschel discovered that different crystal forms of quartz rotated the
plane of linear polarization in opposite directions.
• Louis Pasteur recrystallized sodium ammonium tartarate and noticed:
 Two types of crystals which could be separated physically.
 Both types were optically active and rotated the plane light in opposite directions.
 These molecules exist in two form (i.e left – and right- handed).
 Together the mixture is optically inactive and referred to as Racemic.
Historical Developments
Optical Activity
When a substance rotates the plane of plane polarized light, it
is optically active and the phenomenon is referred to as
optical activity.
Dextrorotatory (+ or d) rotates the plane of polarized light in
clockwise direction, when viewed by an observer for light
propagating towards him.
Levorotatory (- or l) rotates the plane of polarized light in
counter-clockwise direction, when viewed by an observer for
light propagating towards him.
Fresenel Theory of Optical Activity
 Optical activity is a special type of
birefringence.
 A linear polarized light can be expressed as
an equal combination of right-hand (RHC)
and left-hand circularly (LHC) polarized light
waves.
 The relative phase 2θ between the two
circular polarizations sets the direction of
the linear polarization to θ.
LHC
i
RHC E
e
E
E 

2


 In an optically active material, the two circularly
polarized waves experience different refractive
indices. The difference in the refractive indices
quantifies the strength of the optical activity and is a
characteristic of a material.
 After traveling through length L of material, the two
polarizations will have a relative phase of
 Consequently, the final plane of polarization is rotated
through +Δθ (anticlockwise) or -Δθ (clockwise)
resulting in dextro- or leavo-type materials.
LHC
RHC n
n
n 


 
n
L





2
2
Electro-Optic Effects
Optical phenomena observed in certain materials
under the influence of electric and magnetic fields.
• Faraday effect
• Cotton Mouton Effect
• Kerr effect
• Pockel effect
Faraday Effect

 For a magnetic field of strength 106A/m and length of
material 1cm, the angle of rotation is 1o- 2o.
 Some of the common applications of Faraday effect are:
 The radio waves used in satellite communication suffer
rotation of plane of polarization from vertical to
horizontal alignment when they pass through
ionosphere under the influence of earth magnetic field.
 Many microwave devices such as modulators, isolators,
couplers, decoupling and matching devices are based
on Faraday effect.
Cotton Mouton Effect
 This phenomenon is related to induction of
optical birefringence behavior in a uniaxial
crystal under the action of an external
magnetic field.
 The magnitude of induced birefringence is
usually very small.
Kerr Effect

Pockles Effect

Analysis of Light
It is the procedure to unambiguously assign
the state of polarization to a given light wave.
Retarders
• Retarders cause the delay in the phase of one state of
polarization with respect to the other.
• It results in phase difference between the two
components of polarization which may (or may not) alter
the state of polarization on superposition to yield the
emergent wave.
• Most retarders are birefringent materials (quartz, mica,
polymers etc) having different indices of refraction
dependent on the state of polarization of the light.
Physics of Retarders
• As the unpolarized light enters a retarder medium, it
splits into e- and o-rays owing to its double refractive
nature.
• The two component waves propagate with different
speed in the same medium.
• Two SOP have mutually orthogonal E-field vibrations.
e
o
e
o
e
e
o
o
v
v
n
n
n
c
v
n
c
v




 ;
• If two waves travel a distance d through the retarder
medium, then their path and phase difference, on
emerging out from the medium, will be:






































)
(
4
4
1
)
(
2
2
1
)
(
1
2
2
2
)
(
QWP
x
HWP
x
FWP
x
If
x
x
d
n
n
x e
o











Half-Wave Plate (HWP)
 It leads to retardation by
half wave or phase of 180o
for one state of polarization.
 The half wave polarizer can
 flip the state of linear polarization .
 alter sense of circular polarization.
Quarter-Wave Plate (QWP)
 Causes retardation by quarter wave
or phase delay of 90o for one of the
state of polarizations.
 The quarter wave plate can convert :
 SOP from linear to elliptical.
 SOP of linear polarized light, when incident
at 45o w.r.t retarder’s axis, to circular
polarization.
Circular Polarizers
•It converts unpolarized
light to circularly polarized.
• It is fabricated by gluing a
linear polarizer to a
quarter-wave plate with
their optic axes at 450 w.r.t
each other.
Babinet Compensator
 It is a crystal plate of variable thickness
along which the phase difference
between e-ray and o-ray can be varied
continuously.
 It consists of two wedge shaped prisms
of quartz cut at a very small angle.
 The optic axis is parallel to refracting
edge in one section while it is
perpendicular in the other section.

 The arrangement acts as a plate of varying
thickness for two rays. At increasing distance from
the center, the path difference increases uniformly
and required path difference can be obtained at
any given position.
 For a ray passing through the center, the path
difference is zero and incident vibrations are
transmitted as such.
 On each side of the central point, one ray will be
ahead or behind the other because of difference in
their path lengths.
Working of Babinet Compensator
 The Babinet compensator is used in
studying state of polarization of light.
 The optical thickness of the plate can be
varied by working a micrometer screw,
which causes relative displacement
between two wedges. This helps in
obtaining desired path difference at any
particular position.
 On either side of line of zero optical path
difference, the path retardation is λ/2 at a
distance L and λ at 2L. The light emerging
from these points is plane polarized while it
is elliptically polarized for other points.
 For studying the SOP of light, the Babinet compensator is
placed between polarizer and analyzer. The light
emerging from analyzer is viewed and SOP can be
ascertained as:
 If the light emerging from the center of compensator
is extinguished by rotating the analyzer then dark
fringes are seen in the field of view and light is
plane polarized in nature.
 If the light incident on the compensator is elliptically
polarized, the fringes will shift by an amount
depending upon the ratio of major and minor axes
of ellipse.
Determination of State of Polarization
Linear polarizer is introduced in the path of polarized light and rotated
about axis coinciding with direction of propagation of light.
There is ambiguity in deciding the state of polarization in situations 2 and 3.
S. No. Observation Inference
1. Complete extinction of light intensity
at two orientations of polaroid.
Linearly polarized beam
2. No variation in beam intensity. Unpolarized
Circularly polarized
Unpolarized + Circularly polarized
3. Intensity variation but not complete
extinction.
Elliptically polarized
Unpolarized + Linearly polarized
Unpolarized + Elliptically polarized
Situation 2: Quarter Wave Plate is introduced before the polaroid.
Observation Inference
Light Intensity does not vary as
polaroid is rotated about optic axis.
Unpolarized Beam.
Light intensity suffers complete
extinction at two orientations of
rotating polaroid.
Circularly polarized Light as quarter
wave plate converts it to orthogonally
linearly polarized light beams.
Light intensity varies with rotation of
polaroid about optic axis but does not
suffer complete extinction.
Mixture of unpolarised and circularly
polarized light.
Situation 3: When the quarter wave plate is introduced with its
optic axis parallel to transmission axis of crystal.
Observation Inference
Light Intensity suffers complete extinction of intensity
for two orientations of rotating polaroid.
Elliptically Polarized Beam
Light intensity does not suffer complete extinction at
two orientations of rotating polaroid but position of
maximum intensities are same as before.
Mixture of linearly polarized
and unpolarised light.
Light intensity does not suffer complete extinction at
two orientations of rotating polaroid but position of
maximum intensities are different.
Mixture of unpolarised and
elliptically polarized light.
Applications of
Polarization
Polarizing Filters
 Polarizing filters exclude all light not
vibrating in the preferred direction or
transmission axis of the filter.
 Light reflected by shiny transparent
material is partly or fully polarized, except
when the light is normal to the surface.
 Polarizing sunglasses, by orienting their
polarizing material vertically and
selectively, exclude the polarized portion of
light reflected by the horizontal surface.
 Polarizing microscopes are equipped with polarizing
filters both below and above the stage of
microscope. The lower filter (polarizer) is rotatable
while the upper filter (analyzer) is non-rotatable but
removable.
 Light of certain polarization passes through a sample
by the two polarizer arrangement and used to study
optical properties of rocks or minerals.
Polarizing Microscopes
Art
 Visual artists work using birefringent materials to
create colorful and changing images.
 The artist create images by using hundreds of small
pieces of cellophane and other birefringent films
and further laminate them between plane polarizing
filters.
Applications-Crossed Polarizers
Cross polarizers are used to detect materials
that rotate the plane of polarized light such as:
• Biological materials
• Materials under mechanical stress.
 Inspection of skin under cross-polarization enhances
the sub-surface features such as vascular details,
pigmentation and infiltrates.
 Surface topography of the skin is better visualized
with parallel polarization.
Visual Effects of Polarization
Polarization Photography
Without Polarizer With Polarizer
 Polarization by scattering is observed as light passes through atmosphere.
The scattered light produces the brightness and color in clear sky.
 This partial polarization of scattered light can be used to darken the sky in
photographs, increasing the contrast.
Polarization Photography reduces reflections
Visual Effects of Polarization….cont’d
Biology
Many animals like octopus, squid, cuttlefish, insects
and bees use a component of the polarized light for:
 navigational purposes.
 orienting their communicative dances.
Chemistry
Polarization is principally of importance in chemistry
due to optical activity exhibited by chiral molecules.
Astronomy
In many areas of astronomy, the study of polarized
electromagnetic radiation from outer space is used to
 probe interstellar magnetic field.
 study of various aspects of early universe.
 navigating near poles of earth's magnetic
field where neither sun nor stars are visible.
Radio Communication
 All radio transmitting and receiving antenna are
intrinsically polarized, special use of which is made in
radar.
 Most antennas radiate either horizontal, vertical, or
circular polarization. Their electric field plane
determines polarization or orientation of radio wave.
 Vertical polarization is used when it is desired to
radiate a radio signal in all directions such as widely
distributed mobile units, AM and FM.
• Television uses horizontal polarization.
• Alternating vertical and horizontal polarization is
used on satellite communications (including
television satellites), to allow the satellite to carry
two separate transmissions on a given frequency,
thus doubling the number of customers a single
satellite can serve.
LCD
STRUCTU
RE
• LCD devices are used as read-outs in wrist
watches, calculators, clocks, electronic
instruments, laptop, computers etc.
• It consists of 10μm thick double refracting liquid
crystal supported between the assembly of glass
plates which are further sandwiched between two
polaroid sheets held in crossed configuration.
• During fabrication of LCDs, the liquid crystal
molecules are aligned in such a way that their long
axis undergoes 90o rotation, also referred to as
twisted molecular arrangement.
Liquid Crystal Display
 When light is incident on the assembly, the front polarizer
polarizes it. The linear polarization of light is rotated
through 90o by the twisted molecular arrangement.
 The light passes unhindered through the rear polarizer
whose transmission axis is perpendicular to that of the
front polarizer.
 A reflector at the back of rear polarizer sends the light back
which emerges unobstructed from the front polarizer. As
such the display appears uniformly illuminated.
 When external voltage is applied to the device, the
molecules lying in the region between electrodes untwist
and align along the field direction.
 Consequently the light vector is not rotated when it passes
through this region. The rear polarizer blocks the light and a
dark digit or character is seen in that region.

More Related Content

Similar to PHYA3-POLARIZATION.ppt. For 1st year B.E. students

Polarization of Light
Polarization of LightPolarization of Light
Polarization of LightDinesh Dinesh
 
Polarization rotation using polarizers
Polarization rotation using polarizersPolarization rotation using polarizers
Polarization rotation using polarizersUCP
 
ESA Module 3 Part-A ME832. by Dr. Mohammed Imran
ESA Module 3 Part-A ME832. by Dr. Mohammed ImranESA Module 3 Part-A ME832. by Dr. Mohammed Imran
ESA Module 3 Part-A ME832. by Dr. Mohammed ImranMohammed Imran
 
Dielectric constant and polarizibality
Dielectric constant and polarizibalityDielectric constant and polarizibality
Dielectric constant and polarizibalityjunaidhassan71
 
Polarization of light (1) (1).pptx
Polarization of light (1) (1).pptxPolarization of light (1) (1).pptx
Polarization of light (1) (1).pptxKanwalKataria1
 
Plane waves reflection refraction and polarization by dinesh.V.raj
Plane waves reflection refraction and polarization by dinesh.V.rajPlane waves reflection refraction and polarization by dinesh.V.raj
Plane waves reflection refraction and polarization by dinesh.V.rajdineshraj007
 
OPTICAL ROTATORY DISPERSION (ORD)
OPTICAL ROTATORY DISPERSION (ORD)OPTICAL ROTATORY DISPERSION (ORD)
OPTICAL ROTATORY DISPERSION (ORD)Jagadeesh Babu
 
Polarization of Light
Polarization of LightPolarization of Light
Polarization of LightHaris Hassan
 
Polarisation of light by Dr. Vishal Jain
Polarisation of light by Dr. Vishal JainPolarisation of light by Dr. Vishal Jain
Polarisation of light by Dr. Vishal JainDr. Vishal Jain
 
Bell 301 material science unit iii
Bell 301 material science unit iiiBell 301 material science unit iii
Bell 301 material science unit iiiPrashant Kumar
 

Similar to PHYA3-POLARIZATION.ppt. For 1st year B.E. students (20)

Polarization and polarid
Polarization and polaridPolarization and polarid
Polarization and polarid
 
Polarization
PolarizationPolarization
Polarization
 
Polarization of Light
Polarization of LightPolarization of Light
Polarization of Light
 
Polarization rotation using polarizers
Polarization rotation using polarizersPolarization rotation using polarizers
Polarization rotation using polarizers
 
Polarization
PolarizationPolarization
Polarization
 
Lecture 9a 2013_
Lecture 9a 2013_Lecture 9a 2013_
Lecture 9a 2013_
 
Prabhakar singh ii sem-paper v-optical methods for determination of molecula...
Prabhakar singh  ii sem-paper v-optical methods for determination of molecula...Prabhakar singh  ii sem-paper v-optical methods for determination of molecula...
Prabhakar singh ii sem-paper v-optical methods for determination of molecula...
 
ESA Module 3 Part-A ME832. by Dr. Mohammed Imran
ESA Module 3 Part-A ME832. by Dr. Mohammed ImranESA Module 3 Part-A ME832. by Dr. Mohammed Imran
ESA Module 3 Part-A ME832. by Dr. Mohammed Imran
 
Dielectric constant and polarizibality
Dielectric constant and polarizibalityDielectric constant and polarizibality
Dielectric constant and polarizibality
 
Polarisation of Light.pptx
Polarisation of Light.pptxPolarisation of Light.pptx
Polarisation of Light.pptx
 
Polarization of light (1) (1).pptx
Polarization of light (1) (1).pptxPolarization of light (1) (1).pptx
Polarization of light (1) (1).pptx
 
Plane waves reflection refraction and polarization by dinesh.V.raj
Plane waves reflection refraction and polarization by dinesh.V.rajPlane waves reflection refraction and polarization by dinesh.V.raj
Plane waves reflection refraction and polarization by dinesh.V.raj
 
OPTICAL ROTATORY DISPERSION (ORD)
OPTICAL ROTATORY DISPERSION (ORD)OPTICAL ROTATORY DISPERSION (ORD)
OPTICAL ROTATORY DISPERSION (ORD)
 
Polarization of Light
Polarization of LightPolarization of Light
Polarization of Light
 
Polarisation of light by Dr. Vishal Jain
Polarisation of light by Dr. Vishal JainPolarisation of light by Dr. Vishal Jain
Polarisation of light by Dr. Vishal Jain
 
Optical Devices-Lecture Notes.pdf
Optical Devices-Lecture Notes.pdfOptical Devices-Lecture Notes.pdf
Optical Devices-Lecture Notes.pdf
 
4.3
4.34.3
4.3
 
Lasers
LasersLasers
Lasers
 
Polarisation
PolarisationPolarisation
Polarisation
 
Bell 301 material science unit iii
Bell 301 material science unit iiiBell 301 material science unit iii
Bell 301 material science unit iii
 

Recently uploaded

Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024hassan khalil
 
Introduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptxIntroduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptxvipinkmenon1
 
Past, Present and Future of Generative AI
Past, Present and Future of Generative AIPast, Present and Future of Generative AI
Past, Present and Future of Generative AIabhishek36461
 
Current Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCLCurrent Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCLDeelipZope
 
chaitra-1.pptx fake news detection using machine learning
chaitra-1.pptx  fake news detection using machine learningchaitra-1.pptx  fake news detection using machine learning
chaitra-1.pptx fake news detection using machine learningmisbanausheenparvam
 
IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024Mark Billinghurst
 
Call Girls Narol 7397865700 Independent Call Girls
Call Girls Narol 7397865700 Independent Call GirlsCall Girls Narol 7397865700 Independent Call Girls
Call Girls Narol 7397865700 Independent Call Girlsssuser7cb4ff
 
What are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptxWhat are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptxwendy cai
 
Gurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort service
Gurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort serviceGurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort service
Gurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort servicejennyeacort
 
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube ExchangerStudy on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube ExchangerAnamika Sarkar
 
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escortsranjana rawat
 
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...srsj9000
 
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝soniya singh
 
Internship report on mechanical engineering
Internship report on mechanical engineeringInternship report on mechanical engineering
Internship report on mechanical engineeringmalavadedarshan25
 
Application of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptxApplication of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptx959SahilShah
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur High Profile
 
Artificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptxArtificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptxbritheesh05
 
Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...VICTOR MAESTRE RAMIREZ
 

Recently uploaded (20)

Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024
 
Introduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptxIntroduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptx
 
Past, Present and Future of Generative AI
Past, Present and Future of Generative AIPast, Present and Future of Generative AI
Past, Present and Future of Generative AI
 
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCRCall Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
 
Current Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCLCurrent Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCL
 
chaitra-1.pptx fake news detection using machine learning
chaitra-1.pptx  fake news detection using machine learningchaitra-1.pptx  fake news detection using machine learning
chaitra-1.pptx fake news detection using machine learning
 
IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024
 
Call Girls Narol 7397865700 Independent Call Girls
Call Girls Narol 7397865700 Independent Call GirlsCall Girls Narol 7397865700 Independent Call Girls
Call Girls Narol 7397865700 Independent Call Girls
 
What are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptxWhat are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptx
 
Gurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort service
Gurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort serviceGurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort service
Gurgaon ✡️9711147426✨Call In girls Gurgaon Sector 51 escort service
 
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube ExchangerStudy on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
 
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
 
🔝9953056974🔝!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
🔝9953056974🔝!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...🔝9953056974🔝!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
🔝9953056974🔝!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
 
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
 
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
 
Internship report on mechanical engineering
Internship report on mechanical engineeringInternship report on mechanical engineering
Internship report on mechanical engineering
 
Application of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptxApplication of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptx
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
 
Artificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptxArtificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptx
 
Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...
 

PHYA3-POLARIZATION.ppt. For 1st year B.E. students

  • 1. Prof. J. K. Goswamy UIET, Panjab University Chandigarh. POLARIZATION OF LIGHT
  • 2. It is phenomenon of restricting electric vector vibrations of light along a plane which may or may not rotate about the direction of propagation. Polarization: Basic Concept
  • 3. Plane Wave  It is an infinitely long light wave with a wide wave-front.  Electric and magnetic fields oscillations are mutually perpendicular and also perpendicular to the direction of propagation.  Light waves propagate in air with the electric and magnetic field vectors vibrating with same phase and frequency.  Light wave propagating in the x direction is expressed as:  The electric vector amplitude is 378 times larger than that of the magnetic vector. ẑ t) - kx cos( B ) t x, ( B ; ŷ t) - kx cos( E ) t x, ( E 0z z 0y y      
  • 4. Unpolarized (Ordinary) Light A plane (or ordinary or unpolarized) light wave can be approximated as constituted by electric field vector oscillating in all possible directions in a plane perpendicular to the direction of propagation of light.
  • 5.  The ordinary light wave is characterized by its oscillating electric vector which has symmetric distribution in the plane perpendicular to the direction of propagation. This is unpolarized (or ordinary or natural) light.  The electric vector vibrations in the ordinary light can be resolved into two orthogonal components which oscillate with same frequency but can be characterized by different amplitudes and phase.
  • 6.  The shape traced out by vibrating electric vector, as the plane wave propagates, defines the State of Polarization (SOP) of light.
  • 7. Polarization: Mechanical Analogue • The light vibrations have been restricted in vertical direction on passing through the polarizer 1. This phenomenon of restricting light vibrations along a specific direction is called Polarization. • The plane of light oscillations is the plane of vibration. The other plane, perpendicular to it and devoid of light oscillations is the plane of polarization.
  • 8. Linearly Polarized Light Elliptically Polarized light Circularly Polarized Light States of Polarization
  • 9. Superposition of Polarized Waves  Let’s consider two polarized light waves having their light vector oscillations mutually perpendicular to each other and propagating along x-direction. These are represented mathematically as:  These two waves are propagating with a phase difference of θ. The resultant superposed wave is to be analyzed. ẑ ) t - kx cos( E ) t x, ( E ŷ t) - kx cos( E ) t x, ( E 0z z 0y y        
  • 10.  Both the light waves have electric field oscillations in YZ plane. We wish to study their time variation in this plane (say x=0), which will define relation between instantaneous displacements of two waves and their relative phase.     : , 1 sin cos sin sin cos cos cos 1 sin ; cos ; cos 2 2 get we equation above the solving and Squaring E E E E E E t t E E t E E t E E t E E t oy y oy y oz z oz z oy y oz z oy y                                                    2 2 2 sin cos 2                                    oy y oz z oz z oy y E E E E E E E E
  • 11. States of Polarization  The equation describing different states of polarization is:  Depending upon relative phase difference between two superposing waves, we have different SOP as: ,... 2 , 1 , 0 2 ) 1 2 ( 2 ) 1 2 (         n Polarized Circularly E E n Polarized ly Elliptical E E n Polarized Linearly n oz oy oz oy         2 2 2 sin cos 2                                    oz z oy y oz z oy y E E E E E E E E
  • 12.  The Linearly polarized light is represented as:  This state of polarization results in light vector oscillations along a line.  Symmetric distribution of oscillating electric vector about the direction of propagation no longer exists.                   0z 0y z y E E E E Linear Polarization
  • 13. Elliptical Polarization • The elliptic polarized light is mathematically represented as: • This state of polarization can be viewed as resulting due to superposition of two linearly polarized waves propagating in same direction with their light oscillations in mutually perpendicular directions and having relative phase difference of 90o. • When the two light oscillations do not have the  same amplitude and/or  phase difference slightly different from 90o the resultant electric vector traces out an ellipse in the plane of vibration which is referred to as the polarization ellipse. 1 E E E E 2 0z z 2 0y y                    
  • 14. REP: Right Elliptic Polarization (CW rotation of electric vector while approaching observer) LEP: Left Elliptic Polarization (ACW rotation of electric vector while approaching observer) Sense in Elliptical Polarization An ellipse is represented by relative size of minor/major axes and orientation in space. The sense of rotation is CW or ACW.
  • 15. Circular Polarization  If two linearly polarized light waves with phase difference = 900 and E0z = E0y superpose, then circularly polarized wave results:  During propagation of such waves, the oscillating electric vector rotates at uniform angular velocity.  Similar to elliptic polarization, we define right and left circular polarization 1 E E E E 2 0y y 2 0z z                  
  • 16. Other States of Polarization  Unpolarized  Linearly polarized + Unpolarized  Elliptically polarized + Unpolarized  Circularly Polarized + Unpolarized  Elliptically polarized + Linearly polarized  Circularly Polarized + Linearly polarized
  • 17. Methods of Polarization  Dichorism  Reflection  Scattering  Birefringence
  • 18. Polarization by Dichorism Technique of selective absorption of electric vector vibrations in one of the two orthogonal directions forms the basis of Dichorism.
  • 19. Wire-Grid Polarizer  Grid is an array of parallel thin conducting wires with their spacing comparable to the wavelength of light.  Electric field oscillations parallel to wires gets attenuated due to current induced by them in wires. Energy of this component appears as heat.  Electric field oscillations parallel to wires get transmitted as polarized output from the wire grid.  Applicable for polarization of IR and longer wavelengths.  Wire grids paved the way for atomic and molecular grids.
  • 20. Dichorism • Certain crystals strongly absorb the incident light oscillations along one direction (absorption axis of crystal). • They easily transmit the light oscillations in other direction which is perpendicular (optic axis of crystal) to it. Tourmaline, Quartz
  • 21. J-sheet (Grid of Crystallites)  These were fabricated by E.H. Land in 1928.  Herapathite (Quinine Iodosulphate) crystal was grinded into millions of needle shaped submicroscopic crystallites.  They were aligned as long parallel crystallite’s chains by using external electric and magnetic fields.  The Herapathite crystallites can also be aligned by extruding its viscous colloidal solution (in nitrocellulose) through a very long and narrow slit.  This polaroid has optic axis perpendicular to the length of chain.  The component of electric vibrations parallel to chain are absorbed while those perpendicular to the chain get transmitted. Gives hazy appearance due to scattering of light by numerous crystallites.
  • 22. H-sheet (Grid of Polymer Chain)  A sheet of polyvinyl alcohol is gently heated and stretched in a given direction resulting in alignment of its hydrocarbon molecules along long molecular chains.  It is then dipped in ink solution (rich in iodine), which impregnates the plastic. The iodine molecules get attached along length of long polymeric chain of hydrocarbon molecules, while forming effective polymeric chains of their own. The free electrons of iodine move along the chain thereby emulating a long conducting wire.  The electric field component of light parallel to chain gets absorbed while the perpendicular component is easily transmitted.  In H-sheets, the hazy appearance is significantly reduced as scattering is caused by molecules rather than the submicroscopic crystals. H-sheets are effective polarizers over the entire visible spectrum.
  • 23.  K-Polaroids are made by stretching polyvinylene sheet by slight heating in the presence of dehydrating agent (such as HCl). Such polaroids are resistant to humidity and heat.  HK Polaroids: A combination of ingredients of H and K sheet form HK-sheets which are very good polarizers for light in the near infra-red region.  Other Polaroids: Dichoric sheet linear polarizers are also available, which are effective in the UV region of electromagnetic spectrum.
  • 24. Polarization by Reflection Transparent surfaces selectively reflect one component of electric vector vibrations at a particular angle of incidence, which is polarized in nature.
  • 25. Polarization By Reflection  The reflection coefficient for light, which has electric field oscillations in the plane of incidence, reduces to zero at some angle between 0° and 90°(often called polarizing or Brewster angle).  The light reflected at that angle is linearly polarized with its electric field vector oscillations perpendicular to the plane of incidence and parallel to the plane of the reflecting surface.  At other angles, the reflected light has admixture of both the components of polarization.  The transmitted or refracted light remains partially polarized at all angles of incidence of unpolarized light.
  • 26. Brewster Angle Angle of Incidence Reflected Intensity Reflected Intensity Brewster Angle The reflection coefficients are different for waves parallel and perpendicular to the plane of incidence. When light is incident at the Brewster angle, the reflected light is linearly polarized because reflection coefficient for parallel component is zero. Reflected intensity for waves having electric field oscillations parallel and perpendicular to the plane of incidence.
  • 27. Brewster’s Law From Fresnel's equations, it can be determined that the parallel reflection coefficient is zero, when the incident and transmitted angles sum up to 90°. The use of Snell's law gives an expression for the Brewster angle.
  • 28. Polarization by Stack of Plates on Polarizati of Degree n n m m I I I I P          2 2 1 2   S-polarized P-polarized Unpolarize d
  • 29. Polarization by Scattering Scattered light observed in orthogonal direction, to that of its incidence, yields the polarized light.
  • 30. Polarization by Scattering  The light scattered by scatterers (air molecules or suspended particles) produce linearly polarized light, when observed in the plane perpendicular to direction of propagation of the incident light.  When light is incident on an atom or a molecule, its electronic cloud oscillates under the influence of electric vector vibrations. The atom or molecule behaves like a oscillating dipole which radiates EM energy like an antenna in all directions other than its line of oscillation.  If the charges in a molecule are oscillating along the y-axis, it will not radiate along the y-axis. Therefore, at 90° away from the beam direction, the scattered light will always be linearly polarized.
  • 31. Double Refraction Anisotropic media split natural light into two purely polarized beams having vastly different optical properties.
  • 32. What is Double Refraction ?  Double refraction is the splitting of a ray of light into two rays, when passing through anisotropic materials such as Calcite, Quartz.  This phenomenon was first reported by Erasmus Bartholinus in 1669.  Both the rays of light are plane polarized with their planes of polarization being mutually perpendicular.
  • 33. All transparent crystals, except those in cubic form, are double refracting. However in most cases, the separation of two images is usually not large enough to be observable. Property O-Ray E-Ray Snell’s Law Obeys Snell’s law Doesn’t obey Snell’s law E-Field Vibrations Electric field vibrations are perpendicular to optic axis Electric field vibrations are along the optic axis. Refractive Index Material exhibits different refractive index for two waves. This property is called birefringence. Shape of wave front Propagates with same speed in all directions and wave front is spherical in shape. Speed dependent on direction in crystal w.r.t optic axis and hence wave front is spheroidal in shape.
  • 34. Physics of Birefringence • When light propagates through a transparent substance, the electrons of the constituent atoms are driven by the oscillating electric field. • These electrons, vibrating under the influence of external electric field, behave like oscillating dipoles, which radiate electromagnetic energy in all directions except along their line of oscillation. • The emitted secondary wavelets superpose to form the refracted wave-front.
  • 35. • The speed of the refracted light and hence the index of refraction of the medium is determined by the frequency of oscillating electric field and natural frequency of the atomic vibrations. • Since there is anisotropy in forces binding the atoms in the molecule as well as electrons in the constituent atoms, this results in directional dependence of refractive index of the medium.
  • 36. Birefringence: Uniaxial Crystals  The optic axis is the direction in the birefringent crystal along which E-ray and O-ray propagate with the same speed.  If the material has single optic axis, it is uniaxial or birefringent in nature. Such a material is characterized by different refractive indices for ordinary and extraordinary polarizations.  The birefringent crystal is  Positive If O-ray propagates faster than E-ray.  Negative If O-ray propagates slower than E-ray.  Non-cubic transparent crystals having hexagonal or tetragonal unit cells are usually uniaxial in nature.
  • 37. Uniaxial Material no ne Δn = ne-no Beryl {Be3Al2(SiO3)6} 1.602 1.557 -0.045 Calcite (CaCO3) 1.658 1.486 -0.172 Calomel (Hg2Cl2) 1.973 2.656 +0.683 Ice (H2O) 1.309 1.313 +0.004 Magnesium Fluoride (MgF2) 1.380 1.385 +0.006 Quartz (SiO2) 1.544 1.553 +0.009 Ruby (Al2O3) 1.770 1.762 -0.008 Rutile (TiO2) 2.616 2.903 +0.287 Sapphire (Al2O3) 1.768 1.760 -0.008 Sodium Nitrate (NaNO3) 1.587 1.336 -0.251 Tourmaline (Complex Silicate ) 1.669 1.638 -0.031 Zircon (ZrSiO4) 1.960 2.015 +0.055
  • 38. Nicol Prism: Construction  It was first type of polarizing prism invented by William Nicol in 1828.  It consists of a calcite crystal of length thrice its width. The faces of this crystal have natural angles of 71o and 109o.  Crystal faces are cut and polished to have angles of 68° & 112o.  The crystal is split diagonally and resulting diagonal plane surfaces of two halves are polished.  Two polished halves are rejoined by a layer of canada balsam, which is a glue with opaque grey color. 71o A A’ B D C’ C E-ray O-ray 68o An optical device to produce and analyse plane polarized light.
  • 39. Nicol Prism: Polarizing Action  Unpolarized light enters one end of the crystal and is split into two polarized (o- and e-rays) rays by birefringence.  The ordinary ray propagating through the calcite (no = 1.658) suffers total internal reflection at the balsam layer (being a rarer medium with refractive index n = 1.526). This ray is absorbed by blackened surface forming the sides of prism.  The extraordinary ray propagates through calcite crystal (ne = 1.486) and suffers refraction at the balsam layer interface, and leaves the prism as plane polarized light.  E-ray is derived out as a polarized beam.
  • 41. Law of Malus’ Amplitude of light transmitted by polarizer: Intensity = Const .(Amplitude)2 Crossed Polarizers
  • 42. Optical Activity The rotation of the plane of polarization of a polarized light is optical activity and is a special type of birefringence.
  • 43. • The rotation of the orientation of plane of linearly polarized light was first observed in 1811 in quartz by Dominique Arago. • Biot observed the similar effect in organic liquids and gases. • Herschel discovered that different crystal forms of quartz rotated the plane of linear polarization in opposite directions. • Louis Pasteur recrystallized sodium ammonium tartarate and noticed:  Two types of crystals which could be separated physically.  Both types were optically active and rotated the plane light in opposite directions.  These molecules exist in two form (i.e left – and right- handed).  Together the mixture is optically inactive and referred to as Racemic. Historical Developments
  • 44. Optical Activity When a substance rotates the plane of plane polarized light, it is optically active and the phenomenon is referred to as optical activity. Dextrorotatory (+ or d) rotates the plane of polarized light in clockwise direction, when viewed by an observer for light propagating towards him. Levorotatory (- or l) rotates the plane of polarized light in counter-clockwise direction, when viewed by an observer for light propagating towards him.
  • 45.
  • 46. Fresenel Theory of Optical Activity  Optical activity is a special type of birefringence.  A linear polarized light can be expressed as an equal combination of right-hand (RHC) and left-hand circularly (LHC) polarized light waves.  The relative phase 2θ between the two circular polarizations sets the direction of the linear polarization to θ. LHC i RHC E e E E   2  
  • 47.  In an optically active material, the two circularly polarized waves experience different refractive indices. The difference in the refractive indices quantifies the strength of the optical activity and is a characteristic of a material.  After traveling through length L of material, the two polarizations will have a relative phase of  Consequently, the final plane of polarization is rotated through +Δθ (anticlockwise) or -Δθ (clockwise) resulting in dextro- or leavo-type materials. LHC RHC n n n      n L      2 2
  • 48. Electro-Optic Effects Optical phenomena observed in certain materials under the influence of electric and magnetic fields. • Faraday effect • Cotton Mouton Effect • Kerr effect • Pockel effect
  • 50.  For a magnetic field of strength 106A/m and length of material 1cm, the angle of rotation is 1o- 2o.  Some of the common applications of Faraday effect are:  The radio waves used in satellite communication suffer rotation of plane of polarization from vertical to horizontal alignment when they pass through ionosphere under the influence of earth magnetic field.  Many microwave devices such as modulators, isolators, couplers, decoupling and matching devices are based on Faraday effect.
  • 51. Cotton Mouton Effect  This phenomenon is related to induction of optical birefringence behavior in a uniaxial crystal under the action of an external magnetic field.  The magnitude of induced birefringence is usually very small.
  • 54. Analysis of Light It is the procedure to unambiguously assign the state of polarization to a given light wave.
  • 55. Retarders • Retarders cause the delay in the phase of one state of polarization with respect to the other. • It results in phase difference between the two components of polarization which may (or may not) alter the state of polarization on superposition to yield the emergent wave. • Most retarders are birefringent materials (quartz, mica, polymers etc) having different indices of refraction dependent on the state of polarization of the light.
  • 56. Physics of Retarders • As the unpolarized light enters a retarder medium, it splits into e- and o-rays owing to its double refractive nature. • The two component waves propagate with different speed in the same medium. • Two SOP have mutually orthogonal E-field vibrations. e o e o e e o o v v n n n c v n c v      ;
  • 57. • If two waves travel a distance d through the retarder medium, then their path and phase difference, on emerging out from the medium, will be:                                       ) ( 4 4 1 ) ( 2 2 1 ) ( 1 2 2 2 ) ( QWP x HWP x FWP x If x x d n n x e o           
  • 58. Half-Wave Plate (HWP)  It leads to retardation by half wave or phase of 180o for one state of polarization.  The half wave polarizer can  flip the state of linear polarization .  alter sense of circular polarization.
  • 59. Quarter-Wave Plate (QWP)  Causes retardation by quarter wave or phase delay of 90o for one of the state of polarizations.  The quarter wave plate can convert :  SOP from linear to elliptical.  SOP of linear polarized light, when incident at 45o w.r.t retarder’s axis, to circular polarization.
  • 60. Circular Polarizers •It converts unpolarized light to circularly polarized. • It is fabricated by gluing a linear polarizer to a quarter-wave plate with their optic axes at 450 w.r.t each other.
  • 61. Babinet Compensator  It is a crystal plate of variable thickness along which the phase difference between e-ray and o-ray can be varied continuously.  It consists of two wedge shaped prisms of quartz cut at a very small angle.  The optic axis is parallel to refracting edge in one section while it is perpendicular in the other section.
  • 62.
  • 63.  The arrangement acts as a plate of varying thickness for two rays. At increasing distance from the center, the path difference increases uniformly and required path difference can be obtained at any given position.  For a ray passing through the center, the path difference is zero and incident vibrations are transmitted as such.  On each side of the central point, one ray will be ahead or behind the other because of difference in their path lengths.
  • 64. Working of Babinet Compensator  The Babinet compensator is used in studying state of polarization of light.  The optical thickness of the plate can be varied by working a micrometer screw, which causes relative displacement between two wedges. This helps in obtaining desired path difference at any particular position.  On either side of line of zero optical path difference, the path retardation is λ/2 at a distance L and λ at 2L. The light emerging from these points is plane polarized while it is elliptically polarized for other points.
  • 65.  For studying the SOP of light, the Babinet compensator is placed between polarizer and analyzer. The light emerging from analyzer is viewed and SOP can be ascertained as:  If the light emerging from the center of compensator is extinguished by rotating the analyzer then dark fringes are seen in the field of view and light is plane polarized in nature.  If the light incident on the compensator is elliptically polarized, the fringes will shift by an amount depending upon the ratio of major and minor axes of ellipse.
  • 66. Determination of State of Polarization Linear polarizer is introduced in the path of polarized light and rotated about axis coinciding with direction of propagation of light. There is ambiguity in deciding the state of polarization in situations 2 and 3. S. No. Observation Inference 1. Complete extinction of light intensity at two orientations of polaroid. Linearly polarized beam 2. No variation in beam intensity. Unpolarized Circularly polarized Unpolarized + Circularly polarized 3. Intensity variation but not complete extinction. Elliptically polarized Unpolarized + Linearly polarized Unpolarized + Elliptically polarized
  • 67. Situation 2: Quarter Wave Plate is introduced before the polaroid. Observation Inference Light Intensity does not vary as polaroid is rotated about optic axis. Unpolarized Beam. Light intensity suffers complete extinction at two orientations of rotating polaroid. Circularly polarized Light as quarter wave plate converts it to orthogonally linearly polarized light beams. Light intensity varies with rotation of polaroid about optic axis but does not suffer complete extinction. Mixture of unpolarised and circularly polarized light.
  • 68. Situation 3: When the quarter wave plate is introduced with its optic axis parallel to transmission axis of crystal. Observation Inference Light Intensity suffers complete extinction of intensity for two orientations of rotating polaroid. Elliptically Polarized Beam Light intensity does not suffer complete extinction at two orientations of rotating polaroid but position of maximum intensities are same as before. Mixture of linearly polarized and unpolarised light. Light intensity does not suffer complete extinction at two orientations of rotating polaroid but position of maximum intensities are different. Mixture of unpolarised and elliptically polarized light.
  • 70. Polarizing Filters  Polarizing filters exclude all light not vibrating in the preferred direction or transmission axis of the filter.  Light reflected by shiny transparent material is partly or fully polarized, except when the light is normal to the surface.  Polarizing sunglasses, by orienting their polarizing material vertically and selectively, exclude the polarized portion of light reflected by the horizontal surface.
  • 71.  Polarizing microscopes are equipped with polarizing filters both below and above the stage of microscope. The lower filter (polarizer) is rotatable while the upper filter (analyzer) is non-rotatable but removable.  Light of certain polarization passes through a sample by the two polarizer arrangement and used to study optical properties of rocks or minerals. Polarizing Microscopes
  • 72. Art  Visual artists work using birefringent materials to create colorful and changing images.  The artist create images by using hundreds of small pieces of cellophane and other birefringent films and further laminate them between plane polarizing filters.
  • 73. Applications-Crossed Polarizers Cross polarizers are used to detect materials that rotate the plane of polarized light such as: • Biological materials • Materials under mechanical stress.  Inspection of skin under cross-polarization enhances the sub-surface features such as vascular details, pigmentation and infiltrates.  Surface topography of the skin is better visualized with parallel polarization.
  • 74. Visual Effects of Polarization Polarization Photography Without Polarizer With Polarizer  Polarization by scattering is observed as light passes through atmosphere. The scattered light produces the brightness and color in clear sky.  This partial polarization of scattered light can be used to darken the sky in photographs, increasing the contrast.
  • 75. Polarization Photography reduces reflections Visual Effects of Polarization….cont’d
  • 76. Biology Many animals like octopus, squid, cuttlefish, insects and bees use a component of the polarized light for:  navigational purposes.  orienting their communicative dances. Chemistry Polarization is principally of importance in chemistry due to optical activity exhibited by chiral molecules.
  • 77. Astronomy In many areas of astronomy, the study of polarized electromagnetic radiation from outer space is used to  probe interstellar magnetic field.  study of various aspects of early universe.  navigating near poles of earth's magnetic field where neither sun nor stars are visible.
  • 78. Radio Communication  All radio transmitting and receiving antenna are intrinsically polarized, special use of which is made in radar.  Most antennas radiate either horizontal, vertical, or circular polarization. Their electric field plane determines polarization or orientation of radio wave.  Vertical polarization is used when it is desired to radiate a radio signal in all directions such as widely distributed mobile units, AM and FM.
  • 79. • Television uses horizontal polarization. • Alternating vertical and horizontal polarization is used on satellite communications (including television satellites), to allow the satellite to carry two separate transmissions on a given frequency, thus doubling the number of customers a single satellite can serve.
  • 80. LCD STRUCTU RE • LCD devices are used as read-outs in wrist watches, calculators, clocks, electronic instruments, laptop, computers etc. • It consists of 10μm thick double refracting liquid crystal supported between the assembly of glass plates which are further sandwiched between two polaroid sheets held in crossed configuration. • During fabrication of LCDs, the liquid crystal molecules are aligned in such a way that their long axis undergoes 90o rotation, also referred to as twisted molecular arrangement. Liquid Crystal Display
  • 81.  When light is incident on the assembly, the front polarizer polarizes it. The linear polarization of light is rotated through 90o by the twisted molecular arrangement.  The light passes unhindered through the rear polarizer whose transmission axis is perpendicular to that of the front polarizer.  A reflector at the back of rear polarizer sends the light back which emerges unobstructed from the front polarizer. As such the display appears uniformly illuminated.  When external voltage is applied to the device, the molecules lying in the region between electrodes untwist and align along the field direction.  Consequently the light vector is not rotated when it passes through this region. The rear polarizer blocks the light and a dark digit or character is seen in that region.