1
MECH 6491 Engineering Metrology
and Measurement Systems
Lecture 7 Continued
Instructor: N R Sivakumar
2
Holography
Introduction and Background
Theory and types of Holography
Holographic Interferometry
Theory
Applications
Speckle Methods
Speckle Introduction
Speckle intensity and size
Speckle Interferometry
Theory
Applications
Outline
Holography Introduction
Reflection
hologram
Transmission
hologram
Holography Introduction
5
Holography History
Invented in 1948 by Dennis Gabor
Leith and Upatnieks (1962) applied laser to holography
Holography is the synthesis of interference and diffraction
In recording a hologram, two waves interfere to form an
interference pattern on the recording medium.
When reconstructing the hologram, the reconstructing
wave is diffracted by the hologram.
6
Holography History
When looking at the reconstruction of a 3-D object, it
is like looking at the real object
By means of holography an original wave field can
be reconstructed at a later time at a different location
This technique has many applications; we
concentrate on holographic interferometry
A photograph tells more than a thousand words and
a hologram tells more than a thousand photographs
7
Holography Advantages
Conventional Photography:
2-d version of a 3-d scene
Photograph lacks depth perception or parallax
Film sensitive only to radiant energy
Phase relation (i.e. interference) are lost
8
Holography Advantages
Holographic Photography:
Freezes the intricate wavefront of light that carries all
the visual information of the scene
To view a hologram, the wavefront is reconstructed
View what we would have seen if present at the
original scene through the hologram window
Provides depth perception and parallax
9
Holography Advantages
Holographic Photography:
Converts phase into amplitude information (in-phase
= max amp, out-of-phase = min amp)
Interfere wavefront of light from a scene with
reference wave
The hologram is a complex interference pattern of
microscopically spaced fringes
“holos” – Greek for whole message
10
Holography Recording
Laser beam is split in 2
1 wave illuminates the object
The object scatters the light
onto the hologram plate
(object wave)
The other wave is reflected directly onto the hologram
plate. (reference wave) constitutes a uniform illumination
of the hologram plate
The hologram plate must be a light-sensitive medium,
e.g. a silver halide film plate with high resolution
11
Holography Recording
Let the object and
reference waves in the hologram
plane be described by the field
amplitudes uo and u.
These two waves will interfere
resulting in an intensity distribution
This intensity is allowed to blacken the hologram plate
Then it is removed and developed
This process is hologram recording
*
o
*
0
2
o
22
o uu u u u u u u I
12
Holography Recording
This hologram has a
transmittance t proportional to
intensity distribution
*
o
*
0
2
o
2uu u u u I t u
Replace the hologram back in the holder in
the same position
Block object wave and illuminate the hologram with the reference
wave (reconstruction wave) Ua which will be U multiplied by t
o
2*
0
22
o
2
a uu u uu u u uuut
13
Holography Reconstruction
The quantity IuI2 is constant –
uniform light and the last term thus
becomes (apart from a constant)
identical to the original object
wave uo.
We are able to reconstruct the
object wave, maintaining its
original phase and relative
amplitude distribution uo
by looking through the hologram, object can be seen in 3D
even though the physical object has been removed
Therefore this reconstructed wave is also called the virtual
wave
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Direct wave: corresponds to zeroth order grating
diffraction pattern
Object wave: gives virtual image of the object
(reconstructs object wavefront) – first order diffraction
Conjugate wave: conjugate point, real image (not
useful since image is inside-out) – negative first order
diffraction
In general, we wish to view only the object wave – the
other waves just confuse the issue
Hologram Reconstruction uu u
2
o
2
a uu u *
0
2u o
2uu
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Virtual image
Real image
-z z
Direct wave
Object
wave
Conjugate
wave
z=0
Reference wave
Hologram Reconstruction
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Virtual imageReal image
Direct wave
Object
wave
Conjugate
wave
Reference wave
Use an off-axis system to record the hologram, ensuring separation of the
three waves on reconstruction
Hologram Reconstruction
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Holography Reconstruction
Alternative method of recording
Fewer components hence more stable
Can you spot the difference …………..
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Transmission hologram: reference and object waves
traverse the film from the same side
Reflection hologram: reference and object waves traverse
the emulsion from opposite sides
Hologram
View in Transmission View in reflection
Reflection vs. Transmission
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Hologram - Transmission
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Hologram - Reflection
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Hologram: Wavelength
With a different color, the virtual image will appear at a
different angle – (i.e. as a grating, the hologram disperses
light of different wavelengths at different angles)
Volume hologram: emulsion thickness >> fringe spacing
Can be used to reproduce images in their original
color when illuminated by white light.
Use multiple exposures of scene in three primary
colors (R,G,B)
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Volume Hologram
Reconstruction wave must be
a duplication of the reference
wave
Reflection hologram can be
reconstructed in white light
giving images in their original
color
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Hologram - Applications
Microscopy M = r/s
Increase magnification by viewing hologram with
longer wavelength
Produce hologram with x-ray laser, when viewed
with visible light M ~ 106
3-d images of microscopic objects – DNA, viruses
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Hologram - Applications
Interferometry
Small changes in OPL can be measured by viewing
the direct image of the object and the holographic
image (interference pattern produce finges Δl)
E.g. stress points, wings of fruit fly in motion,
compression waves around a speeding bullet,
convection currents around a hot filament
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Two waves reflected from two identical objects could
interfere
With the method of holography now at hand, we are
able to realize this by storing the wavefront scattered
from an object in a hologram.
We then can recreate this wavefront by hologram
reconstruction, where and when we choose.
Holographic Interferometry
26
For instance, we can let it interfere with the wave
scattered from the object in a deformed state.
This technique belongs to the field of holographic
interferometry
In the case of static deformations, the methods can be
grouped into two procedures, double-exposure and
real-time interferometry.
Holographic Interferometry
(Vest 1979; Erf 1974; Jones and Wykes 1989).
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Double Exposure Interferometry
Two holograms of the object recorded in
same medium at different time instants
If conditions at the recordings different
→interference between the reconstructed
holographic images reveals deformations
simple to carry out
avoids the problem of
realignment
distortion minimized
compares only two time
instances
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The observer sees any
deformation of the object
(in scale of λ) in real time
as interference between
the real object and the
holographic image of the
object at rest
Disadvantage is that the
hologram must be
replaced in its original
position with very high
accuracy
Real Time Interferometry
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Holographic Interferograms
Deflection of a
rectangular plate
fastened with five
struts and subjected
to a uniform pressure
Detection of
debonded region of
a honeycomb
construction panel
A bullet in flight
observed through
a doubly-exposed
hologram
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Make hologram of vibrating
object
Maximum vibration amplitude
should be limited to tens of
wavelengths
Illumination of hologram
yields image on which is
superimposed interference
fringes
Fringes are contour lines of
equal vibration amplitude
Holographic Vibration Analysis
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Speckle Introduction
When looking at the laser light
scattered from a rough surface, one
sees a granular pattern
This so-called speckle pattern can
be regarded as a multiple wave
interference with random phases
Speckle is considered a mere
nuisance
But from the beginning of 1970
there were several reports from
experiments in which speckle was
exploited as a measuring tool.
32
Speckle Introduction
light is scattered from a
rough surface of height
variations greater than the .
In white light illumination,
this effect is scarcely
observable ???
Applying laser light,
however, gives the scattered
light a characteristic granular
appearance
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Speckle Introduction
The probability density
function P, for the intensity in
a speckle pattern is given as
Where I is the mean intensity.
The intensity of a speckle
pattern thus obeys negative
exponential statistics
From this plot we see that the
most probable intensity value
is zero, that is, black.
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Speckle Size
Objective speckle size
(without lens) is given by
Subjective speckle size (with
lens) is given by
Objective speckle size
Subjective speckle size
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Laser speckle methods can be utilized in many ways; Speckle-
shearing enables direct measurements of displacement derivatives
related to strains
Speckle Interferometry
(Hung and Taylor 1973; Leendertz and Butters 1973).
The principle of speckle-
shearing (shearography) is
to bring the rays scattered
from one point of the object
into interference with rays
from neighboring point
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This can be obtained in a speckle-shearing interferometric camera
where one half of the camera lens is covered by a thin glass wedge
In that way, the two images focused by each half of the lens are
laterally sheared
If the wedge is oriented to shear in the x, the rays from a point P(x,
y) on the object will interfere in the image plane with those from a
neighbouring point P(x+x, y)
The shearing x is proportional to the wedge angle
When the object is deformed there is a relative displacement
between the two points that produces a relative optical phase
change
Speckle Interferometry
37
For small shear angles x the equation can be
approximated to (k= 2/)
For out of plane measurement normal angle (=0) is
enough and the equation becomes
For both in plane and out of plane measurement that is
both u and w, we need to use different angle
Speckle Interferometry
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Electronic Speckle Interferometry
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Electronic Speckle Interferometry
(a) Out-of-plane displacement fringes (w)
and slope fringes (w/x) for a aluminium
plate loaded at the centre. x is 6 mm,
and w = 2.5 µm and
(b) Out-of-plane displacement fringe
pattern (w) and slope pattern (w/y) for
the same object. The shear y is 7 mm.
40
Speckle and Holography
Electronic shearography (ES) used for non-destructive
testing of a ceramic material.
(a) A vertical crack is clearly visualized by ES as a
fringe in the centre of the sample and
(b) The crack is not detected using TV holography
41
ESPI for NDT
GOOD part BAD part
Digital Shearography
Setup
Able to detect surface/subsurface
defects effectively and efficiently
To develop a non-destructive In-line
subsurface defects detection system
42
READY FOR IC FABRICATION PROCESS
RECYCLE
BIN
Defect?yes no
New process
Unpolished Silicon Wafers
Defect?no
RECYCLE
BIN
yesSilicon wafers
Patterned Wafer
Unpolished Silicon Wafers
Polishing(whole batch)
Polishing(good wafers only)
Conventional process
Estimated cost
savings more than
S$1million/year
for ISP
ESPI for NDT Application
43
MECH 6491 Engineering Metrology
and Measurement Systems
Lecture 8
Instructor: N R Sivakumar
44
Light Sources
Incoherent Light Sources
Coherent Light Sources
Detectors
PhotoElectric Detectors
CCD Camera
Outline
45
Most light sources are incoherent (candle light to Sun)
They all radiate light due to spontaneous emission
Here we will consider some sources often used in
scientific applications
These are incandescent sources, low-pressure gas
discharge lamps and high-pressure gas discharge-arc
lamps
They are commonly rated according to their electric
power consumption
Spontaneous Emission
46
/12 hchEE
Spontaneous Emission
Energy-level diagram for a molecule is shown
The atom by some process is raised
to an excited state E3
Then it drops to E2, E1 and E0 in
successive steps
Energy difference between E2 and E1 is released as
electromagnetic radiation of frequency given by
This might be the situation in an ordinary light source
where the transition occurs spontaneously – hence called
spontaneous emission
where h = 6.6256 x 10-34Js
is the Planck constant
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Tungsten halogen lamps - common incandescent source
Quartz tungsten halogen lamps (QTH) produce a bright,
stable, visible and infrared output and is the most
It emits radiation due to the thermal excitation of source
atoms or molecules
Tungsten evaporates the filament and deposits inside the bulb
This blackens the bulb wall and thins the tungsten filament, gradually
reducing the light output
halogen gas removes the deposited tungsten, and returns it to the hot
filament, leaving the inside of the envelope clean, and greatly
increases lamp life. This process is called the halogen cycle
Incoherent Light Sources
48
Low Pressure Gas Discharge lamps - Electric current passes through
a gas
Gas atoms or molecules become ionized to conduct the current
At low current density and pressures, electrons bound to the gas
atoms become excited to well-defined higher-energy levels
Radiation is emitted as the electron falls to a lower energy level
characteristic of the particular type of gas. The spectral distribution is
then a number of narrow fixed spectral lines with little background
radiation
Incoherent Light Sources
49
Low Pressure Gas Discharge lamps - brightest conventional sources
of optical radiation
High-current-density arc discharges through high-pressure gas
Thermal conditions in the arc are such that gas atoms are highly
excited resulting in a volume of plasma
The hot plasma emits like an incandescent source, while ionized
atoms emit substantially broadened lines
The most common sources of this type are the Xenon (Xe) and
mercury (Hg) short arc lamps
Incoherent Light Sources
50
Spontaneous Emission
Excited atoms normally emit light spontaneously
Photons are uncorrelated and independent
Incoherent light
51
Stimulated Emission
Excited atoms can
be stimulated into
duplicating passing
light
Photons are
correlated and
identical
Coherent light
52
Spontaneous Emission
Stimulated Emission
Stimulated Absorption
Population Inversion
Optical Pumping
As postulated by Einstein, also another
type of transition is possible
If a photon of frequency given by Equation passes the atom it might
trigger the transition from E2 to E1 thereby releasing a new photon
of the same frequency by so-called stimulated emission
Coherent Light Sources
/12 hchEE
53
Under normal conditions, the
number of atoms in a state tends
to decrease as its energy
increases
This means that there will be a
larger population in the lower state
of a transition than in the higher
state
Therefore photons passing the
atom are far more likely to be
absorbed than to stimulate
emission
Coherent Light Sources
54
Under these conditions,
spontaneous emission dominates
However, if the excitation of the
atoms is sufficiently strong, the
population of the upper level might
become higher than that of the
lower level
This is called population inversion
Then by passing of a photon of
frequency given by equation it will
be more likely to stimulate
emission from the excited state
Coherent Light Sources
than to be absorbed by the lower state
55
This is the condition that must be
obtained in a laser
This results is laser gain or
amplification, a net increase in the
number of photons with the
transition energy
They produce narrow beams of
intense light
They often have pure colors
They are dangerous to eyes
Reflected laser light has a funny
speckled look
Coherent Light Sources
56
LOSER - “Light Oscillation by STIMULATED
Emission of Radiation”
LASER - “Light Amplification by STIMULATED
Emission of Radiation”
LASER
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Laser Amplification
Stimulated emission can amplify light
Laser medium contains excited atom-like systems
Photons must have appropriate wavelength, polarization, and
orientation to be duplicated
Duplication is perfect; photons are clones
58
Laser Oscillation
Laser medium in a resonator produces oscillator
A spontaneous photon is duplicated over and over
Duplicated photons leak from semitransparent mirror
Photons from oscillator are identical
59
Laser Oscillation
60
Properties of Laser Light
Coherence – identical photons
Monochromaticity; Controllable
wavelength/frequency – nice colors
Beam divergence; Controllable spatial structure –
narrow beams
Brightness
Energy storage and retrieval – intense pulses
Giant interference effects
Apart from these issues, laser light is just light
61
Wavelength
I
λ0 λ2λ1
Spectral Width = λ2 - λ1
Monochromaticity
62
Coherence
1
c
Lcc
63
Laser Modes
Although the laser light
has a well-defined
wavelength (or
frequency), it has
nevertheless a certain
frequency spread.
By spectral analysis of the light, it turns out that it consists of one
or more distinct frequencies called resonator modes, separated by
a frequency
where c = the speed of light and L is the distance between the
laser mirrors, i.e. the resonator length
64
FLASH
LAMP
LASER
= 250
= 0.020
Beam Divergence
NGLEUNIT SOLID AUNIT AREA
POWERBRIGHTNESS
/
65
t t
E E
Pulse duration
Peak Power
Continuous
Wave
Pulsed
Laser
Average power
CW and Pulsed Lasers
66
Types of Lasers
Gas (HeNe, CO2, Argon, Krypton)
Powered by electricity
Solid state (Ruby, Nd:YAG, Ti:Sapphire, Diode)
Powered by electricity or light
Liquid (Dye, Jello)
Powered by light
Chemical (HF)
67
Inside a discharge tube is a gas
mixture of helium and neon. 5 to
12 times more helium than neon.
Coherent Light Sources
By applying voltage to the electrodes, the resulting electric field will
accelerate free electrons
These collide with helium atoms raising them to a higher energy
level. By collision between helium and neon atoms, the latter are
raised to a higher energy level
This constitute the pumping process.
The neon atoms, which constitute the active medium, return to a
lower energy level and the energy difference is released as
electromagnetic radiation
68
He Ne Laser
69
Detectors
Chemical
detectors
photographic
film,
photopolymers
They do not
give a signal
output in the
usual sense Electronic detectors
thermal detectors
photon detectors
70
Detectors
In thermal detectors,
the absorption of light
raises the
temperature of the
device
This in turn results in changes in some temperature-
dependent parameter (e.g. electrical conductivity)
Most thermal detectors are rather inefficient and quite
slow (hence, not useful in optical metrology)
Fire detection and alarms
71
Detectors
Photon detectors work on the photoeffect
Absorption of photons by some materials results directly in
an electronic transition to a higher energy level
Since the energy of a single photon is E = h = hc/,
photon detectors have a maximum for operation
For detectors operating in the infrared, photon energy
thermal energy of the atoms in the detector
Detectors operating above a of 3 µm must be cooled
below 77K
72
Detectors
The photoeffect takes two forms: external and internal
The former process involves photoelectric emission, in
which the photo-generated electrons escape from the
material (the photocathode) as free electrons with a
maximum kinetic energy given by Einstein's photoelectric
equation
where the work function W is the energy difference
between the vacuum and the Fermi levels of the material
73
Detectors
Photoemissive devices usually take the form of vacuum
tubes called phototubes
Electrons emitted from the photocathode travel to an
electrode (the anode) which is kept at a higher electric
potential
As a result, an electric current proportional to the photon
flux incident on the cathode is created in the circuit
In a photomultiplier, the electrons are accelerated towards
a series of electrodes maintained at successively higher
potentials
74
Detectors
From the electrodes a cascade of electrons are emitted by
secondary emission, resulting in an amplification
A microchannel plate consists of an array of channels (ID
~ 10 µm) in a slab of insulating material (0.5 mm thick)
Each channel acts like a miniature photomultiplier tube
Emerging from the channels, the electrons can generate
light (optical image) by striking a phosphor screen.
In the internal photo-effect, the photo-excited carriers
(electrons and holes) remain within the material
75
Detectors
Photoconductors rely on
the light-induced increase
in the conductivity - almost
all semiconductors
The absorption of photon results in the generation of a
free electron, and a hole is generated
An external voltage applied causes the electrons and
holes to move, resulting in a detectable electric current
The detector operates by registering the current
proportional to the photon flux
76
Detectors
Photodiode is a p-n
junction structure where
photons absorbed
generate electrons and
holes which are subject to electric field within that layer
The two carriers drift in opposite directions and an electric
current is induced in the external circuit
Here the circuit current is directly proportional to the
incident light irradiance
77
CCD Cameras
CCDs are a series of Metal
oxide semicon (MOS)
capacitors
A semiconductor substrate is covered with a thin layer of
insulating silicon oxide - insulates the Si from electrode.
When a positive voltage is applied between the electrode
and the Si, holes in p-type Si will be repelled, creating a
region free of mobile carriers directly underneath the
electrode
78
CCD Cameras
This region is known as
depletion region and has
a thickness of few microns
The electrodes are transparent for >400 nm
If incident photon has an energy larger than the
bandgap in Si, a charge packet is formed consisting of
photon-electrons which were created in the vicinity of a
specific electrode
79
At the heart of every digital camera is a Charge Coupled
Device (CCD) typically about a square centimeter in size.
CCD Cameras
80
The CCD is comprised
of many individual
signal capture units,
each of which
corresponds to a
single pixel in the final
digital image.
CCD Cameras
81
Light - incoming photons falls onto
the CCD chip surface
This generates free electrons in
the silicon of the CCD in proportion
to the number of photons striking it
CCD Cameras
These electrons collect in little packets created by the
silicon geometry and surrounding electrical circuitry laid
out in a 2D grid on the chip
Typical CCD chips have from 1 to 5 million charge packets
82
At the heart of the CCD is these metal oxide
semiconductors (MOS) which allow the charge of electrons
to build up in wells in the silicon base.
CCD Cameras
83
a time by varying the voltage of adjacent rows thereby
creating a potential well which couples two rows and
causes the charge to move over
CCD Cameras
The CCD operates on
the principle of charge
coupling.
The packets of
charged electrons can
be moved one row at
84
Buckets on conveyor belts depict how each bucket
contains a different amount of light (shown as rainwater)
and how these buckets are shifted in an orderly fashion
CCD Cameras
85
In this way the quantity of water (or electrons representing
light) in each bucket (or packet) are counted. In a typical
CCD this happens very fast: about 30 times per second for
every one of the million or so "buckets" on the CCD.
CCD Cameras
86
To increase the efficiency of reading the output of the CCD
array there are several different designs. One type transfers
the entire frame into an empty storage array, while others
alternate empty rows with collecting rows.
87
CCDs can be used to collect an image in one of three ways,
either one pixel at a time, one row at a time, or as an entire
area at once.