3rd elect. laser (2016)
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Laser
“Light Amplification by Stimulated Emission of Radiation”
Dr. Soheir Backar
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!roperties of laser light
. "onochromatic #single spectral color and $a%elength&'
Laser light consists of one $a%elength. (he laser emits all photons withthe same wave length.
). *ollimation'*ollimation refers to the degree to $hich the beam remains parallel with
distance.Laser beams are %ery narro$ #thin beam& $ith %ery little di%ergence.
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!roperties of laser light #cont.&
+. *oherence #is a property of $a%es that
indicates the ability of $a%es to interfere $ith eachother&'Different parts of the laser beam are related to eachother in phase #similar in phase and direction&. (hese
phase relationships are maintained o%er long enoughtime, so that interference effects may be seen orrecorded photographically.
-. igh intensity' Laser beam is concentrated with diameter notmore than 1 mm. /ntensity %arying bet$een fe$ $attsto thousands of $atts.
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Laser measurements
Diffractive measurements ofsmall dimensions
(ex. Wire diameter)
Profile and surface positionmeasurement
Measurement of productdimension
2- spot system
Triangulationdevice
traig!tness error
measurement
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Straightness error measurement'
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R
y
h
2
d
2
R)
y
R3
R3
Position " # y δ
tan(2θ$2δ)%y&"'
!%d.sinδ
Dr. Soheir Backar 4
θ
θ 2
δ δ θ 22 +
θ δ θ +
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Diffracti%e measurements of smalldimension' 5ire diameter
"easurements can be achie%ed through obser%ations of the diffraction patternformed $hen a laser beam is diffracted around the edges of the ob6ect.
(he diffraction pattern produced by a $ire inserted in the path of a laser beam $ith diameter larger than the $ire is an array of spots e7tending in a lineperpendicular to the $ire.
(he diffracted spots lie in a line perpendicular to the $ire. The separationof the spots varies inversely with the wire diameter.
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5ire diameter
Angle of the nth spot from the direction of the laser beam
:o. of spot
Laser $a%elength=
=
=
=
λ
φ
n
D
n
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Example:
A diffracti%e measurement system is used to measure the diameter of a thin
$ire during $ire dra$ing. (he linear distance bet$een the un diffracted spot#n;3& and the )nd diffracted spot #n;)& of the diffraction pattern is 1.0 mm.(he distance bet$een the $ire and the un diffracted spot is )333 mm and thelaser beam $a%elength used in measurement is 3.1-- µm. *alculate the $irediameter.
By replacing the $ire $ith anotherone, it is found that the lineardistance bet$een the un diffractedspot #n;3& and the )nd diffracted
spot #n;)& of the diffraction patternis 3.33 mm. *alculate the $irediameter. 5hat can you obser%e<
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=igure sho$s ho$ the pattern changes as the $ire diameter decreases.
Advantages:
- :o contact $ith the $ire.
- "o%ement of the $ire along the direction of its length does not affect thediffraction pattern. (hus $ires can be measured $hile they are mo%ing, fore7ample, during e7trusion.
- >ne could obtain a continuous real?time measurement of changes in the $irediameter as it is e7truded or dra$n.
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!rofile and surface position measurement'
@se of a light beam as an opticalprobe offers a number ofad%antages'
- no physical contact .
- no possibility of surfacedamage.
- Measurements can be made onsoft materials, like clay models.
- no wear on the measuring tool .
Triangulationdevices
To-spotsystem
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Triangulation devices:
A spot of light is pro6ectedfrom the measuring head
onto the surface. (he sourceis indicated as a laser diode.Light reflected from thesurface is imaged onto thedetector. /f the position of theob6ect surface changes by ∆,
the position of the imagedspot is shifted by ∆7. (hemagnitude of the shift in theposition of the imaged spot ismeasured by the detector,and the change in surfaceposition is determined from.
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/maging lens to %ie$ #focus& an image of anob6ect onto a camera sensor #remo%e paralla7 orpro%ide ad6ustable magnification&
(riangulation' a method of finding a position by measuring the lines andangles of a triangle on a map.
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/ncident beam
λ
δ
f
f/maginglens
C
C
*
2
st
)nd
- Angle of incident beam .
- Angle of obser%ation .
- /nitial distance bet$eenimaging lens and ob6ect .
- Distance bet$een imaging lensand image plane.
- Spot displacement on image
plane .
λ
δ
f
f
C
It is required to find the relation between ! and .
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/ncident beam
λ
δ
f
f/maginglens
C
C
*
2
st
)nd
)]cos('[)]sin('[
cos'.
)cos(cos
)sin(.'.'
cos),cos(
coscos
)sin(.'.'
:)2(),1(
)2('.
'
'
'
)1()sin(cos
coscos
)sin(.)sin(
λ δ λ δ
λ
λ δ λ
λ δ
λ λ δ
λ λ
λ δ
λ δ λ
λ λ
λ δ λ δ
+−+
=∴
++
+=∴
=+=
+
+=
→
+
=∴
+
=
→+=∴
=⇒=
+=⇒=+
Y f
f Y Y
Y f
Y f Y
C
Y
C
X
X f
Y f Y
from X f
Z f Y
X f
Z
f
Y
Y Z
Y C
C
Y
C Z C
Z
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Example: A laser triangulation measurementsystem is used to e%aluate thedisplacement of a mo%ing ob6ect.E%aluate the ob6ect displacement basedon the follo$ing'? Angle of incident beam ; +3 degrees.? Angle of obser%ation ; -3 degrees.? /nitial distance bet$een imaging lensand ob6ect ; )03 mm.
? Distance bet$een imaging lens andimage plane ; -3 mm.? Spot displacement on image plane ;0mm.
/ncident beam
λ
δ
f
f/maginglens
C
C
*
2
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Two"spot system:
(his system uses t$o laser beams that strike the surface at a kno$n angle. (he t$o beams produce t$o spots of light on the surface. The separation of the spotsdepends on the distance from the sensor head to the surface. (he spotspacing S is gi%en by'
5here D is the displacement ofthe surface from a nominalreference position and θ is theangle bet$een the beam andthe plane of the surface. (het$o spots come together $henthe surface is at its referenceposition.
As the target surface changes position, the spots mo%e closer together or fartherapart, depending on $hether the surface position is mo%ing farther from ornearer to the sensor head.
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θ tan
2 DS =
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#easurement of product dimension:
Dimensional comparison measurements in !ic! t!eposition of t!e surface of t!e product is determined
relative to t!e sensor !ead suc! as triangulation met!od.
Diffraction type measurements !ic! !ave *eendescri*ed earlier in relation to measurements of ire and
fi*er diameters.
Measurement of t!e o*scuration of laser *eam t!at passesacross t!e item.
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#easurement of the laser beam obscuration:
>bscuration techniFue in%ol%es interposing the ob6ect to be measured in thepath of a laser beam that is scanned across the ob6ect. (he beam is detected by aphoto detector #electronic component take light and transforms it to %olt&. (he %olt signal is amplified to be seen clearly on the screen. (hen, this signal isentered to a data acFuisition card $hich transform analog signal #changing $ithtime& to digital signal that can be recorded.
An ob6ect in the path of the beam interrupts the detector output for a time. /none arrangement, the interruption produces a timing signal.
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=or e7ample, the diameter ofdifferent cylindrical $ork piecescan be measured by mo%ing the beam along the length #profile&
of the ob6ect.
An alternati%e method uses astationary laser beam through $hich the ob6ect passes, as on acon%eyor belt or mo%able table.
(he table %elocity should be kno$n by makingcalibration #put block gauge $ith kno$n distance onthe table and according to tra%elling time $e cancalculate table %elocity&. By measuring time $e cancalculate the reFuired dimension.Dr. Soheir Backar )3
+
11 .t V D =
22 .t V D =
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Sho$ ho$ to measure the taper angle of the sho$n $ork piece using opticalobscuration.- Dra$ the measuring set?up.- E7plain ho$ the %alue of the angle is e%aluated.
L
L
D,
D2
11 .t V D = 22 .t V D =
θ
2
12 D D −)2/)(
(tan 121
L
D D −=
−θ