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![Page 1: Vladimir G. Niziev NATIONAL UNITED UNIVERSITY Miao-li, Taiwan Selected slides from course of lectures.](https://reader031.fdocuments.net/reader031/viewer/2022012913/5518b08e550346a61f8b4e96/html5/thumbnails/1.jpg)
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Vladimir G. Niziev
NATIONAL UNITED UNIVERSITYMiao-li, Taiwan
Selected slides from course of lectures
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Head of laboratory
Institute on Laser and Information Technologies
RUSSIAN ACADEMY OF SCIENCES
Vladimir G. Niziev
Citizen of RUSSIA
1960 2005
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![Page 5: Vladimir G. Niziev NATIONAL UNITED UNIVERSITY Miao-li, Taiwan Selected slides from course of lectures.](https://reader031.fdocuments.net/reader031/viewer/2022012913/5518b08e550346a61f8b4e96/html5/thumbnails/5.jpg)
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Making substitution
E(r,,z,t) ~ E(r,,z) exp(-it);H(r,,z,t) ~ H(r,,z) exp(-it) ; k=/c
Maxwell equations
E and H are vectors
.0c
4
c
1
,4,0c
1
Hj,EH
EHE
If a wave propagates in free space
external charges and currents are absent = 0, j = 0
.00c
1
,0,0c
1
H,EH
EHE
Wave equationE and H are vectors EE 2
2
2 tc
1
HH 2
2
2 tc
1
0HH 2k
.00c
1
,0,0c
1
H,EH
EHE
0EE 2k 0EE 2k
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Vladimir Niziev Lasers: basics, design, properties
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TEM00
TEM10
TEM20
TEM11
TEM21
TEM01 TEM02
TEM12
Laguerre – Gauss transverse modes of stable resonators for round mirrors
TEMp1 p = 0,1,2…
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t
Perfect temporal coherence
t
Wavefront
Direction of wave propagation
t t
“Bad” (limited) temporal coherence
Temporal coherence
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Perfect temporal coherence
“Bad” (limited) temporal coherence
Time of coherence
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E
The main reason of bad (limited) temporal coherence
Coherence
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Discharge pulse duration ~ 1 s
Laser pulse duration ~ 0.03 s
Time
Typical time of gas dynamic processes ~ 30 s
Variable delay time
Screen
Partial mirror Total mirror
Ruby laser Objective
Interferometry Mach-Zehnder interferometer
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Interferometry
Sound speed ~ 3104 cm/s
Time of formation of sound wave ~ 30 s
Size of heated region is ~ 1cm
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Lidar (detection of leakage in gas pipeline)
Gas pipeline Crack, leakage
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Cloud of detected gas
Lidar of differential absorption
Lidar
Ground surface
Laser
Detector
System of processing signals
Parabolic mirror
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Ek
P -polarizat ion
Reflectivity from surface
0 15 30 45 60 75 90
Angle of incidence, degrees
1.0
0.8
0.6
0.4
0.2
0.0
P-polarizat ion
Brewster angle
1
2nn
tg = Brewster angle
S-polarization
Ek
Fresnel law
OpticsOptics
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Linear amplification
Stationary state of inversion population. It is dynamic but not static
Pumping Spontaneous emission or/and collisions
Pumping
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Atom-photon interaction
Ene
rgy
Ground state
Excited state
Only resonance interaction is possible !
No excitation !No excitation !Excitation of atom
Atom in the ground state
Atom in the Atom in the excited stateexcited state
Isolated atomIsolated atomAtom’s state Atom’s state
is not changedis not changedSpontaneous Spontaneous
emission.emission.
Interaction with photons
Excitation of atom
Stimulated Stimulated emissionemission
Interaction Interaction with particles with particles
Atom excitation Atom excitation
in collisions in collisions
Atom relaxation Atom relaxation in collisionsin collisions
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100nm 200 300 400 500 600 700 nmULTRAVIOLET VISIBLE
800nm 900 1 m 3 10 30 100 1000 m
NEAR-INFRARED MID-INFRARED FAR-INFRARED
Nd:YAG laser
1064 1570 nm
2nd harmonic532 nm
3rd harmonic355 nm
4th harmonic266 nm
5th harmonic213 nm
Raman shifted1.39, 1.54, 1.91 m
Logarithmic scale
Crystal Flash lamp or diode lasers pumping Main wavelength 1064 nm Output power 1-1000 Watts CW, pulse, pulse periodic
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Damage of eyes by laser radiation
The range of wavelength
Direct hit of laser beam to eyes is very dangerous
VISIBLEULRAVIOLET INFRAREDULRAVIOLET INFRAREDVISIBLE
Safety first !
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19Computer model
Military planeDrafts
Plastic copy
Laser stereo lithography
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Laser stereo lithography
Resolution is 10 m
Micro models
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21Operation on heart
Transmyocardial revascularization (scheme of procedure)
Lasers for cardio surgery
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