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LASER
    &
Holography
Laser Light




• “LASER” = Light Amplification by Stimulated
  Emission of Radiation
What is Laser?
  Light Amplification by Stimulated
  Emission of Radiation
• A device produces a coherent beam of
  optical radiation by stimulating electronic,
  ionic, or molecular transitions to higher
  energy levels
• When they return to lower energy levels by
  stimulated emission, they emit energy.
Properties of Laser
• Monochromatic
  Concentrate in a narrow range of wavelengths
  (one specific colour).

• Coherent
  All the emitted photons bear a constant phase
  relationship with each other in both time and
  phase

• Directional
  A very tight beam which is very strong and
  concentrated.
Basic concepts for a laser
• Absorption

• Spontaneous Emission

• Stimulated Emission

• Population inversion
Absorption

                            E2




                           E1



• Energy is absorbed by an atom, the electrons
  are excited into higher energy state.
Absorption



                                      E2 = E1 + hυ



• The probability of this absorption from state 1 to state 2
  is proportional to the energy density u(v) of the radiation

                   P = N1 B12u (v)
                    12

 where the proportionality constant B12 is known as the
 Einstein’s coefficient of absorption of radiation.
Spontaneous Emission




• The atom decays from level 2 to level 1 through
  the emission of a photon with the energy hv. It is
  a completely random process.
Spontaneous Emission




The probability of occurrence of this spontaneous emission transition
  from state 2 to state 1 depends only on the properties of states 2
  and 1 and is given by

                      ( P21 ) sp = A21 N 2
 where the proportionality constant A21 is known as the Einstein’s
 coefficient of spontaneous emission of radiation.
Stimulated Emission
Stimulated Emission


                           hυ = ∆E = E2 − E1




atoms in an upper energy level can be triggered
or stimulated in phase by an incoming photon of
a specific energy.
Stimulated Emission
The stimulated photons have unique properties:

  – In phase with the incident photon

  – Same wavelength as the incident photon

  – Travel in same direction as incident photon
E2                       E2                E2
                                         hυ                     hυ
    hυ                                               h υ In
                                                                       Out
                                                                hυ

                     E1                       E1                 E1

  (a) Absorption          (b) Spontaneous emission (c) Stimulated emission
Absorption, spontaneous (random photon) emission and stimulated
emission.
© 1999 S.O. Kasap, Optoelectronics (Prentice Hall)
Stimulated emission leads to a chain reaction
             and laser emission

If a medium has many excited molecules or atoms, one photon can become
many.

                             Excited medium




This is the essence of the laser.
Stimulated Emission
The probability of occurrence of stimulated emission transition from
the upper level 2 to the lower level 1 is proportional to the energy
density u(v) of the radiation and is given by

                  ( P21 ) st = B21 N 2u (v)
where the proportionality constant B21 is known as the Einstein’s
coefficient of stimulated emission of radiation.
Thus the total probability of emission transition from the upper level
2 to the lower level 1 is
                   P21 = ( P21 ) sp + ( P21 ) st
                  P21 = N 2 [ A21 + B21u (ν )]
Relation between Einstein’s Coefficients
Let N1 and N2 be the number of atoms at any instant in the state 1
and 2, respectively. The probability of absorption transition for
atoms from state 1 to 2 per unit time is
                     P = N1 B12u (v)
                      12

The probability of transition of atoms from state 2 to 1,either by
spontaneously or by stimulated emission per unit time is

                P21 = N 2 [ A21 + B21u (ν )]
In thermal equilibrium at temperature t, the emission and absorption
probabilities are equal and thus

                          P = P21
                           12
N1 B12u (ν ) = N 2 [ A21 + B21u (ν )]

                              N 2 A21
                 u (ν ) =
                          N1 B12 − N 2 B21
But Einstein proved thermodynamically that probability of
(stimulated) absorption is equal to the probability of stimulated
emission, So
                               B12 = B21

                               N 2 A21
                  u (ν ) =
                           N1 B21 − N 2 B21
                          A21        1
                 u (ν ) =
                          B21 ( N1 / N 2 ) − 1
According to Boltzmann’s law, the distribution of atoms among the
energy states E1 and E2 at the thermal equilibrium at temperature T
is given by

                N1 e − E1 / kT
                  = − E2 / kT = e ( E2 − E1 ) / kT
                N2 e

where k is the Boltzmann constant

                         N1
                            = e hν / kT
                         N2

                         A21        1
                u (ν ) =                              (1)
                         B21 e hν / kT − 1
Planck’s radiation formula gives the energy density of radiation u(v)
as
                         8πhν 3       1
                u (ν ) =                                   (2)
                           e 3 e hν / kT − 1
from equation (1) and (2)
                       A21 8πhν       3
                           =
                       B21   e3

This equation gives the relation between the probabilities of
spontaneous and stimulated emission.
Condition for the laser operation

If N1 > N2
• radiation is mostly absorbed
• spontaneous radiation dominates.
if N2 >> N1 - population inversion
• most atoms occupy level E2, weak absorption

• stimulated emission prevails

• light is amplified
                Necessary condition:
                population inversion
Population Inversion
This situation in which the number of atoms in the higher state
exceed that in the lower state (N2 > N1) is known as population
inversion.

                          Pumping
The process of moving the atoms from their ground state to an
excited state is called pumping. The objective is to obtain a non-
thermal equilibrium.



                  Optical        Electrical
                  Pumping        Pumping
Optical Pumping


The atoms are excited by bombarding them with photons
example: Ruby Laser




               Electrical Pumping

 The atoms are excited by Electron collision in a discharge tube.
 example: He-Ne Laser
Lasers that maintain a population inversion
indefinitely produce continuous output – termed
CW (for continuous wave) lasers

Lasers that have a short-lived population inversion
produce pulsed output – these are pulsed lasers
Ruby Laser (Three Level Laser)
Ruby (Al2O3) monocrystal, Cr doped.



                              Xenon Flash Light tube




                               Partially
                               silvered
                               mirror
Ruby Laser
                            Short-live state      10-8sec
  E3
                      Radiation-less Transition
Optical
Pumping
                              Metastable state     10-3sec
                E2
   5500 Å                        Stimulated         6943 Å
            Spontaneous   6943 Å Emission
            Emission                                6943 Å

   E1
                                         Ground State
He-Ne Laser

                  Energy
  20.61 eV                     Metastable state   20.66 eV
                  Transfer

                              6328 Å                 6328 Å

                                                     6328 Å
Electron
 Impact         18.70 eV c
                                       Spontaneous
                                       Emission
                          c


                                              Radiation-less
                                              Transition
                 Ground
           He    State            Ne
Ruby Laser
Solid –State Laser
Three Level Laser
Pulsed Laser




               He-Ne Laser
Gas Laser
Four Level Laser
Continuous Laser
Ruby Laser
Optical Pumping
Coolent required
High Power of 10 kW




              He-Ne Laser
Electronic pumping
Coolent not required
Low Power of about 0.5 – 5 mW
Applications of Laser
Laser beams are very intense so are used for
welding, cutting of materials.
Lasers are used for eye surgery, treatment of
dental decay and skin diseases.
Lasers are used for barcode scanners in library
and in super markets.
Laser is used in printers (Laser printers).
Lasers are used for Nuclear Fusion.
Laser are used in CD/DVD Player
Laser is used in Holography.
Laser torch are used to see long distant
objects.
Holography
Holography is the production of three-dimensional
images of objects.

The physics of holography was developed by Dennis
Gabor in 1948. He was awarded the 1971 Nobel Prize.

The laser (1960s) met the requirement of coherent light
needed for making holographic images.
Holography
In Holography both the amplitude and phase
components of light wave are recorded on a light
sensitive medium such as a photographic plate.

Holography is a two step process.

In First step is the recording of the Hologram where the
object is transformed into a photographic record.

Second step is the reconstruction in which the Hologram
is transformed into the image.
Principle of Holography
Holography is the interference between two waves, an
object wave which is the light scattered from the object
and the reference wave, which is the light reaching the
photographic plate directly.

The film records the intensity of the light as well as the
phase difference between the scattered and reference
beams.

The phase difference results in the 3-D perspective.
Conventional vs. Holographic
          photography
• Conventional:
  – 2-d version of a 3-d scene
  – Photograph lacks depth perception or parallax
  – Phase relation (i.e. interference) are lost
Conventional vs. Holographic
           photography
• Hologram:
  – Freezes the intricate wavefront of light that carries all
    the visual information of the scene
  – Provides depth perception and parallax
  – Gives information about amplitude as well as phase
    of an object.
  – The hologram is a complex interference pattern of
    microscopically spaced fringes
Construction of Hologram
                               Mirror

                                         Reference
                                         Beam
Incident
Laser
                                           Object
Beam




                           Object Beam
       Photographic
       Plate
       (Hologram)
Reconstruction of Hologram



Laser
Beam



                        Hologram




        Virtual Image              Real Image
Holography
A hologram is best viewed in coherent light passing
through the developed film.

The interference pattern recorded on the film acts as a
diffraction grating.

By looking through the hologram, we see virtual
image.
National Geographic
• First major
  publication to put a
  hologram on its
  cover
• March 1984 issue
  carried nearly 11
  million holograms
  around the world
Applications of Holography
• Design of containers   • Improve design of
  to hold nuclear          aircraft wings and
  materials                turbine blades
• Credit cards carry     • Used in aircraft
                           “heads-up display”
  monetary value
                         • Art
• Supermarket
                         • Archival Recording of
  scanners                 fragile museum
• Optical Computers        artifacts
Holography goes Hollywood
•   Holodeck from Star Trek Holodeck Clip
•   Star Wars Chess Game
•   Body Double in Total Recall
•   The Wizard in Wizard of Oz

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Ibm lasers

  • 1. LASER & Holography
  • 2. Laser Light • “LASER” = Light Amplification by Stimulated Emission of Radiation
  • 3. What is Laser? Light Amplification by Stimulated Emission of Radiation • A device produces a coherent beam of optical radiation by stimulating electronic, ionic, or molecular transitions to higher energy levels • When they return to lower energy levels by stimulated emission, they emit energy.
  • 4. Properties of Laser • Monochromatic Concentrate in a narrow range of wavelengths (one specific colour). • Coherent All the emitted photons bear a constant phase relationship with each other in both time and phase • Directional A very tight beam which is very strong and concentrated.
  • 5. Basic concepts for a laser • Absorption • Spontaneous Emission • Stimulated Emission • Population inversion
  • 6. Absorption E2 E1 • Energy is absorbed by an atom, the electrons are excited into higher energy state.
  • 7. Absorption E2 = E1 + hυ • The probability of this absorption from state 1 to state 2 is proportional to the energy density u(v) of the radiation P = N1 B12u (v) 12 where the proportionality constant B12 is known as the Einstein’s coefficient of absorption of radiation.
  • 8. Spontaneous Emission • The atom decays from level 2 to level 1 through the emission of a photon with the energy hv. It is a completely random process.
  • 9. Spontaneous Emission The probability of occurrence of this spontaneous emission transition from state 2 to state 1 depends only on the properties of states 2 and 1 and is given by ( P21 ) sp = A21 N 2 where the proportionality constant A21 is known as the Einstein’s coefficient of spontaneous emission of radiation.
  • 11. Stimulated Emission hυ = ∆E = E2 − E1 atoms in an upper energy level can be triggered or stimulated in phase by an incoming photon of a specific energy.
  • 12. Stimulated Emission The stimulated photons have unique properties: – In phase with the incident photon – Same wavelength as the incident photon – Travel in same direction as incident photon
  • 13. E2 E2 E2 hυ hυ hυ h υ In Out hυ E1 E1 E1 (a) Absorption (b) Spontaneous emission (c) Stimulated emission Absorption, spontaneous (random photon) emission and stimulated emission. © 1999 S.O. Kasap, Optoelectronics (Prentice Hall)
  • 14. Stimulated emission leads to a chain reaction and laser emission If a medium has many excited molecules or atoms, one photon can become many. Excited medium This is the essence of the laser.
  • 15. Stimulated Emission The probability of occurrence of stimulated emission transition from the upper level 2 to the lower level 1 is proportional to the energy density u(v) of the radiation and is given by ( P21 ) st = B21 N 2u (v) where the proportionality constant B21 is known as the Einstein’s coefficient of stimulated emission of radiation. Thus the total probability of emission transition from the upper level 2 to the lower level 1 is P21 = ( P21 ) sp + ( P21 ) st P21 = N 2 [ A21 + B21u (ν )]
  • 16. Relation between Einstein’s Coefficients Let N1 and N2 be the number of atoms at any instant in the state 1 and 2, respectively. The probability of absorption transition for atoms from state 1 to 2 per unit time is P = N1 B12u (v) 12 The probability of transition of atoms from state 2 to 1,either by spontaneously or by stimulated emission per unit time is P21 = N 2 [ A21 + B21u (ν )] In thermal equilibrium at temperature t, the emission and absorption probabilities are equal and thus P = P21 12
  • 17. N1 B12u (ν ) = N 2 [ A21 + B21u (ν )] N 2 A21 u (ν ) = N1 B12 − N 2 B21 But Einstein proved thermodynamically that probability of (stimulated) absorption is equal to the probability of stimulated emission, So B12 = B21 N 2 A21 u (ν ) = N1 B21 − N 2 B21 A21 1 u (ν ) = B21 ( N1 / N 2 ) − 1
  • 18. According to Boltzmann’s law, the distribution of atoms among the energy states E1 and E2 at the thermal equilibrium at temperature T is given by N1 e − E1 / kT = − E2 / kT = e ( E2 − E1 ) / kT N2 e where k is the Boltzmann constant N1 = e hν / kT N2 A21 1 u (ν ) = (1) B21 e hν / kT − 1
  • 19. Planck’s radiation formula gives the energy density of radiation u(v) as 8πhν 3 1 u (ν ) = (2) e 3 e hν / kT − 1 from equation (1) and (2) A21 8πhν 3 = B21 e3 This equation gives the relation between the probabilities of spontaneous and stimulated emission.
  • 20. Condition for the laser operation If N1 > N2 • radiation is mostly absorbed • spontaneous radiation dominates. if N2 >> N1 - population inversion • most atoms occupy level E2, weak absorption • stimulated emission prevails • light is amplified Necessary condition: population inversion
  • 21. Population Inversion This situation in which the number of atoms in the higher state exceed that in the lower state (N2 > N1) is known as population inversion. Pumping The process of moving the atoms from their ground state to an excited state is called pumping. The objective is to obtain a non- thermal equilibrium. Optical Electrical Pumping Pumping
  • 22. Optical Pumping The atoms are excited by bombarding them with photons example: Ruby Laser Electrical Pumping The atoms are excited by Electron collision in a discharge tube. example: He-Ne Laser
  • 23. Lasers that maintain a population inversion indefinitely produce continuous output – termed CW (for continuous wave) lasers Lasers that have a short-lived population inversion produce pulsed output – these are pulsed lasers
  • 24. Ruby Laser (Three Level Laser) Ruby (Al2O3) monocrystal, Cr doped. Xenon Flash Light tube Partially silvered mirror
  • 25. Ruby Laser Short-live state 10-8sec E3 Radiation-less Transition Optical Pumping Metastable state 10-3sec E2 5500 Å Stimulated 6943 Å Spontaneous 6943 Å Emission Emission 6943 Å E1 Ground State
  • 26. He-Ne Laser Energy 20.61 eV Metastable state 20.66 eV Transfer 6328 Å 6328 Å 6328 Å Electron Impact 18.70 eV c Spontaneous Emission c Radiation-less Transition Ground He State Ne
  • 27. Ruby Laser Solid –State Laser Three Level Laser Pulsed Laser He-Ne Laser Gas Laser Four Level Laser Continuous Laser
  • 28. Ruby Laser Optical Pumping Coolent required High Power of 10 kW He-Ne Laser Electronic pumping Coolent not required Low Power of about 0.5 – 5 mW
  • 29. Applications of Laser Laser beams are very intense so are used for welding, cutting of materials. Lasers are used for eye surgery, treatment of dental decay and skin diseases. Lasers are used for barcode scanners in library and in super markets. Laser is used in printers (Laser printers). Lasers are used for Nuclear Fusion. Laser are used in CD/DVD Player Laser is used in Holography. Laser torch are used to see long distant objects.
  • 30. Holography Holography is the production of three-dimensional images of objects. The physics of holography was developed by Dennis Gabor in 1948. He was awarded the 1971 Nobel Prize. The laser (1960s) met the requirement of coherent light needed for making holographic images.
  • 31. Holography In Holography both the amplitude and phase components of light wave are recorded on a light sensitive medium such as a photographic plate. Holography is a two step process. In First step is the recording of the Hologram where the object is transformed into a photographic record. Second step is the reconstruction in which the Hologram is transformed into the image.
  • 32. Principle of Holography Holography is the interference between two waves, an object wave which is the light scattered from the object and the reference wave, which is the light reaching the photographic plate directly. The film records the intensity of the light as well as the phase difference between the scattered and reference beams. The phase difference results in the 3-D perspective.
  • 33. Conventional vs. Holographic photography • Conventional: – 2-d version of a 3-d scene – Photograph lacks depth perception or parallax – Phase relation (i.e. interference) are lost
  • 34. Conventional vs. Holographic photography • Hologram: – Freezes the intricate wavefront of light that carries all the visual information of the scene – Provides depth perception and parallax – Gives information about amplitude as well as phase of an object. – The hologram is a complex interference pattern of microscopically spaced fringes
  • 35. Construction of Hologram Mirror Reference Beam Incident Laser Object Beam Object Beam Photographic Plate (Hologram)
  • 36. Reconstruction of Hologram Laser Beam Hologram Virtual Image Real Image
  • 37. Holography A hologram is best viewed in coherent light passing through the developed film. The interference pattern recorded on the film acts as a diffraction grating. By looking through the hologram, we see virtual image.
  • 38. National Geographic • First major publication to put a hologram on its cover • March 1984 issue carried nearly 11 million holograms around the world
  • 39. Applications of Holography • Design of containers • Improve design of to hold nuclear aircraft wings and materials turbine blades • Credit cards carry • Used in aircraft “heads-up display” monetary value • Art • Supermarket • Archival Recording of scanners fragile museum • Optical Computers artifacts
  • 40. Holography goes Hollywood • Holodeck from Star Trek Holodeck Clip • Star Wars Chess Game • Body Double in Total Recall • The Wizard in Wizard of Oz

Hinweis der Redaktion

  1. GREEK: Holos + grafe = whole + drawing
  2. GREEK: Holos + grafe = whole + drawing
  3. GREEK: Holos + grafe = whole + drawing