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1ASN
Laser is an acronym for light amplification by
stimulated emission of radiation. They produce a
highly directional and intense beam with a narrow
frequency range.
COMPPONENTS OF A LASER
A laser device consist of three components
1. The pump: A pump is basically the energy
source for a laser. It gives energy to
various atoms of laser medium and
excites them so heavily that population
inversion is achieved and maintained.
Different methods of pumping are optical
pumping, direct electron excitation, in
elastic atom-atom excitation etc.
2. Laser medium: It is the medium in which
the laser action is made to take place. It
may be solid, liquid or gas. The main
requirement of the laser medium is that
we should be able to obtain population
inversion in it. The atoms or molecules of
the laser medium are called active centers.
3. The resonator:
An optical resonator is a setup which is used to
obtain amplification of stimulated photons, by
oscillating them back and forth between two
extreme points. It consist of two plane mirrors
placed coaxially. One of the mirror is partially
reflecting while the other is totally reflecting. It
enables a part of the internally reflected beam to
escape out as a laser beam. The space between
two mirrors is called cavity.
Working:
Photons emitted in any direction other than
parallel to optical axis will pass through the sides
and are lost. Photons emitted parallel to the axis
are augmented. On reaching the semi-transparent
mirror, some of the photons are emitted out and a
part of them will be reflected back. While
propagating in the opposite direction they de-
excite more and more atoms and build up their
strength. The photons again gets reflected from
the 100 % reflecting mirror.
As the oscillation build up to high intensity it
emerges through the front mirror as a highly
collimated intense beam.
CHARACTERISTICS OF A LASER
Main characteristics of a laser are
1. Directionality: Laser light emit light only in
one direction as the photons travelling
along the optical axis of the system are
selected by the optical resonator. The
energy carried by a laser beam can be
controlled easily and focused into a small
area.
2. Intensity: The laser beam is highly intense
because energy is concentrated in a very
narrow region. Hence it finds application
in welding, drilling etc.
3. Mono chromaticity: A laser beam is highly
mono chromatic. The light spread is of the
order of a few angstroms.
2ASN
4. Coherence: A laser light is coherent
because the waves emitted by a laser will
be in phase and are of same frequency.
Coherence is classified as
A) Spatial coherence: If two waves have
identical propagation characteristics
at two different points in space, then
the waves are said to be spatially
coherent. Coherence length Lc is the
distance travelled by a wave without
losing its coherence. 𝐿𝑐 = 𝜆(
𝜆2
Δ𝜆
)=
𝜆2
Δ𝜆
where λ is the wave length of laser
beam and Δ λ is the wave length
spread (line width) of a laser beam.
B) Temporal coherence: If two waves
have identical propagation
characteristics at different instants of
time then they are said to be
temporally coherent.
Coherence time 𝜏 𝑐 = (
1
Δ𝜈
)
Coherence time is related to coherent
length as
𝑙 𝑐 = 𝑐 𝜏 𝑐
PRINCIPLE OF LASER
The laser works on the principle of stimulated
emission of radiation. Atoms or molecules are
characterized by a set of discrete allowed energy
states. An atom can move from one energy state
to another when it receives or releases an amount
of energy equal to the energy difference between
the two states.
Let E1 be the lower energy state and E2 be the
excited state. Let a monochromatic radiation of
frequency ν and energy hn be incident on the
medium. If hν= E2-E1, three distinct process may
occur in the medium
1. Stimulated absorption: This is the
transition in which an atom in the lower
energy state E1 absorbs the incident
photon and gets excited to the higher
energy state E2. The number of transition
occurring at any instant is directly
proportional to the number of atoms in
the lower energy state and the photon
density of the incident beam.
The rate of absorption can be written as
R12=B12ργN1. Where B12 is the Einstein’s
coefficient, N1 number of atoms in lower
state, ργ is the photon density of incident
radiation.
2. Spontaneous emission: Atoms residing in
the excited state will be unstable and has
a natural tendency to seek out to the
lowest energy state. They give up the
excess energy hn = E2-E1, in the form of
photons. The process does not requires
any external impart of energy and is called
spontaneous emission. The number of
transition taking place does not depends
on the photon present in the incident
radiation and depends only on the density
of N2 in the excited state E2. Also the
light emitted by the medium will be
incoherent.
The rate of spontaneous emission can be written
as R21 = A21N2 where A21 is Einstein’s coefficient
and N2 is the number of atoms in the excited
state.
3ASN
3. Stimulated emission: Here a photon is
incident on the atom residing in the
excited state thereby inducing a
downward transition of the atom to the
lowest level. The transition generates a
second photon which would be identical
to the triggering photon in respect of
frequency, phase, direction and
polarization. If the number of atoms in the
excited state is large, an avalanche of
secondary photons can be generated
which results in intensified beam of
coherent light.
The rate is R21 = B21N2ρn where B21 is Einstein’s
coefficient.
Active medium: The medium in which light gets
amplified is called an active medium. It can be a
solid, liquid or gas containing atoms or molecules.
The main requirement of an active medium is that
we should be able to obtain population inversion
in it.
Active centers: Out of the large number of
different atoms in a species, only a fraction of
them are responsible for stimulated emission.
Such atoms are called active centers.
Metastable states: A higher energy state where the
life time is very large is called a metastable state.
Normally excited atoms have short life time.
Hence population inversion does not happens
even though pumping process is done. Therefore
it is necessary for the excited states to have a
longer life time.
Population inversion: A non-equilibrium condition
where the excited state is more populated than
the ground state.
The number of atoms occupying an energy state
is called population of that state. Let N1 and N2
be the populations of energy levels E1 and E2. In
thermal equilibrium, the population of energy
levels are fixed b Boltzmann factor as
N1 α 𝑒
−𝐸1
𝑘𝑡 and N2 α 𝑒
−𝐸2
𝑘𝑡
𝑁1
𝑁2
= 𝑒
−(𝐸1−𝐸2)
𝑘𝑡
-Ve sign shows that N1 > N2 at equilibrium.
Therefore more atoms are at the ground state.
Hence for the stimulated emission to occur, the
population distribution between E1 and E2 are
inverted.
Before After
Pumping: For maintaining the condition of
population inversion, atoms must be excited
continuously. The process of supplying energy to
the medium in order to achieve population
inversion is called pumping.
Methods of pumping:
1. Optical pumping- Widely used in solid state
lasers. A light source is used for pumping.
Photons are used to excite atoms. A+hν=𝐴∗
,
A is the atom in the lower state and 𝐴∗
is the
atom in the excited state. E g: ruby lase, Nd-
YAG laser
2. Direct electron excitation- Used in gaseous
lasers. An electric field is applied which
causes the flow of electrons from cathode to
4ASN
anode. While travelling these electrons
collides with atoms of the active medium and
hence excites the atoms. A+𝑒−
= 𝐴∗
E g:
Argon laser.
3. In elastic atom-atom collision: Used in
gaseous laser where a mixture of gases are
used as the active medium. Due to electron
bombardment atoms of one gases gets
excited into higher level. These excited atoms
collides with atoms of other gas and excites
them. A+𝑒−
= 𝐴∗
+𝑒−
𝐴∗
+ 𝐵 = 𝐴 + 𝐵∗
e g:
He-Ne laser
4. Direct conversion: Here energy is supplied
directly in the form of electrical energy. E g:
semiconductor laser (electron –Hole
recombination leads to emission of radiation).
5. Chemical reaction: Used in chemical laser.
Due to the chemical reaction produced in the
excited state. E g: H2+F2=2HF
Pumping schemes:
1. Three-level pumping: In three level pumping,
between the ground state and excited state,
there lies a metastable state having a longer
life time. The active centers are excited from
ground level E1 to higher level E3 by some
pumping process. After pumping more than
half of the active centers, they gets decayed
to level 2 by non-radiated transition. It is a
fast decay process (10−8
𝑠𝑒𝑐). They reside in
level 2 for(10−4
− 10−3
𝑠𝑒𝑐). Thus population
in E2 > E1. This leads to population inversion
and finally results in stimulated emission.
Disadvantage: The output is pulsated and
very high pumping source is required for
pumping more than 50% of active centers.
2. Four level pumping: In four level pumping,
between the ground state and excited state,
there lies a metastable state and an ordinary
excited state with a very wide energy gap. By
the process of pumping, atoms gets excited
to level 4 and gets readily de excited to level
3 by radiative transition. This results in a
condition of population inversion between
level 3 and level 2.
Advantage: Output is continuous and power
requirement for pumping is low.
Spontaneous emission Stimulated emission
Atoms return to lower
energy state without the
help of external energy.
Atoms return to lower
energy state with the help
of external energy.
Uncontrolled random
process
Controlled regular process
Polychromatic radiation Monochromatic radiation
Incoherent radiation Coherent radiation
Emission cannot be
multiplied with chain
reaction
Emission can be multiplied
with chain reaction
Intensity of output radiation
depends on the atoms
present in the excited state.
Intensity of output radiation
depends on the atoms
present in the excited state
and also on the number of
incident photons.

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Laser part 1

  • 1. 1ASN Laser is an acronym for light amplification by stimulated emission of radiation. They produce a highly directional and intense beam with a narrow frequency range. COMPPONENTS OF A LASER A laser device consist of three components 1. The pump: A pump is basically the energy source for a laser. It gives energy to various atoms of laser medium and excites them so heavily that population inversion is achieved and maintained. Different methods of pumping are optical pumping, direct electron excitation, in elastic atom-atom excitation etc. 2. Laser medium: It is the medium in which the laser action is made to take place. It may be solid, liquid or gas. The main requirement of the laser medium is that we should be able to obtain population inversion in it. The atoms or molecules of the laser medium are called active centers. 3. The resonator: An optical resonator is a setup which is used to obtain amplification of stimulated photons, by oscillating them back and forth between two extreme points. It consist of two plane mirrors placed coaxially. One of the mirror is partially reflecting while the other is totally reflecting. It enables a part of the internally reflected beam to escape out as a laser beam. The space between two mirrors is called cavity. Working: Photons emitted in any direction other than parallel to optical axis will pass through the sides and are lost. Photons emitted parallel to the axis are augmented. On reaching the semi-transparent mirror, some of the photons are emitted out and a part of them will be reflected back. While propagating in the opposite direction they de- excite more and more atoms and build up their strength. The photons again gets reflected from the 100 % reflecting mirror. As the oscillation build up to high intensity it emerges through the front mirror as a highly collimated intense beam. CHARACTERISTICS OF A LASER Main characteristics of a laser are 1. Directionality: Laser light emit light only in one direction as the photons travelling along the optical axis of the system are selected by the optical resonator. The energy carried by a laser beam can be controlled easily and focused into a small area. 2. Intensity: The laser beam is highly intense because energy is concentrated in a very narrow region. Hence it finds application in welding, drilling etc. 3. Mono chromaticity: A laser beam is highly mono chromatic. The light spread is of the order of a few angstroms.
  • 2. 2ASN 4. Coherence: A laser light is coherent because the waves emitted by a laser will be in phase and are of same frequency. Coherence is classified as A) Spatial coherence: If two waves have identical propagation characteristics at two different points in space, then the waves are said to be spatially coherent. Coherence length Lc is the distance travelled by a wave without losing its coherence. 𝐿𝑐 = 𝜆( 𝜆2 Δ𝜆 )= 𝜆2 Δ𝜆 where λ is the wave length of laser beam and Δ λ is the wave length spread (line width) of a laser beam. B) Temporal coherence: If two waves have identical propagation characteristics at different instants of time then they are said to be temporally coherent. Coherence time 𝜏 𝑐 = ( 1 Δ𝜈 ) Coherence time is related to coherent length as 𝑙 𝑐 = 𝑐 𝜏 𝑐 PRINCIPLE OF LASER The laser works on the principle of stimulated emission of radiation. Atoms or molecules are characterized by a set of discrete allowed energy states. An atom can move from one energy state to another when it receives or releases an amount of energy equal to the energy difference between the two states. Let E1 be the lower energy state and E2 be the excited state. Let a monochromatic radiation of frequency ν and energy hn be incident on the medium. If hν= E2-E1, three distinct process may occur in the medium 1. Stimulated absorption: This is the transition in which an atom in the lower energy state E1 absorbs the incident photon and gets excited to the higher energy state E2. The number of transition occurring at any instant is directly proportional to the number of atoms in the lower energy state and the photon density of the incident beam. The rate of absorption can be written as R12=B12ργN1. Where B12 is the Einstein’s coefficient, N1 number of atoms in lower state, ργ is the photon density of incident radiation. 2. Spontaneous emission: Atoms residing in the excited state will be unstable and has a natural tendency to seek out to the lowest energy state. They give up the excess energy hn = E2-E1, in the form of photons. The process does not requires any external impart of energy and is called spontaneous emission. The number of transition taking place does not depends on the photon present in the incident radiation and depends only on the density of N2 in the excited state E2. Also the light emitted by the medium will be incoherent. The rate of spontaneous emission can be written as R21 = A21N2 where A21 is Einstein’s coefficient and N2 is the number of atoms in the excited state.
  • 3. 3ASN 3. Stimulated emission: Here a photon is incident on the atom residing in the excited state thereby inducing a downward transition of the atom to the lowest level. The transition generates a second photon which would be identical to the triggering photon in respect of frequency, phase, direction and polarization. If the number of atoms in the excited state is large, an avalanche of secondary photons can be generated which results in intensified beam of coherent light. The rate is R21 = B21N2ρn where B21 is Einstein’s coefficient. Active medium: The medium in which light gets amplified is called an active medium. It can be a solid, liquid or gas containing atoms or molecules. The main requirement of an active medium is that we should be able to obtain population inversion in it. Active centers: Out of the large number of different atoms in a species, only a fraction of them are responsible for stimulated emission. Such atoms are called active centers. Metastable states: A higher energy state where the life time is very large is called a metastable state. Normally excited atoms have short life time. Hence population inversion does not happens even though pumping process is done. Therefore it is necessary for the excited states to have a longer life time. Population inversion: A non-equilibrium condition where the excited state is more populated than the ground state. The number of atoms occupying an energy state is called population of that state. Let N1 and N2 be the populations of energy levels E1 and E2. In thermal equilibrium, the population of energy levels are fixed b Boltzmann factor as N1 α 𝑒 −𝐸1 𝑘𝑡 and N2 α 𝑒 −𝐸2 𝑘𝑡 𝑁1 𝑁2 = 𝑒 −(𝐸1−𝐸2) 𝑘𝑡 -Ve sign shows that N1 > N2 at equilibrium. Therefore more atoms are at the ground state. Hence for the stimulated emission to occur, the population distribution between E1 and E2 are inverted. Before After Pumping: For maintaining the condition of population inversion, atoms must be excited continuously. The process of supplying energy to the medium in order to achieve population inversion is called pumping. Methods of pumping: 1. Optical pumping- Widely used in solid state lasers. A light source is used for pumping. Photons are used to excite atoms. A+hν=𝐴∗ , A is the atom in the lower state and 𝐴∗ is the atom in the excited state. E g: ruby lase, Nd- YAG laser 2. Direct electron excitation- Used in gaseous lasers. An electric field is applied which causes the flow of electrons from cathode to
  • 4. 4ASN anode. While travelling these electrons collides with atoms of the active medium and hence excites the atoms. A+𝑒− = 𝐴∗ E g: Argon laser. 3. In elastic atom-atom collision: Used in gaseous laser where a mixture of gases are used as the active medium. Due to electron bombardment atoms of one gases gets excited into higher level. These excited atoms collides with atoms of other gas and excites them. A+𝑒− = 𝐴∗ +𝑒− 𝐴∗ + 𝐵 = 𝐴 + 𝐵∗ e g: He-Ne laser 4. Direct conversion: Here energy is supplied directly in the form of electrical energy. E g: semiconductor laser (electron –Hole recombination leads to emission of radiation). 5. Chemical reaction: Used in chemical laser. Due to the chemical reaction produced in the excited state. E g: H2+F2=2HF Pumping schemes: 1. Three-level pumping: In three level pumping, between the ground state and excited state, there lies a metastable state having a longer life time. The active centers are excited from ground level E1 to higher level E3 by some pumping process. After pumping more than half of the active centers, they gets decayed to level 2 by non-radiated transition. It is a fast decay process (10−8 𝑠𝑒𝑐). They reside in level 2 for(10−4 − 10−3 𝑠𝑒𝑐). Thus population in E2 > E1. This leads to population inversion and finally results in stimulated emission. Disadvantage: The output is pulsated and very high pumping source is required for pumping more than 50% of active centers. 2. Four level pumping: In four level pumping, between the ground state and excited state, there lies a metastable state and an ordinary excited state with a very wide energy gap. By the process of pumping, atoms gets excited to level 4 and gets readily de excited to level 3 by radiative transition. This results in a condition of population inversion between level 3 and level 2. Advantage: Output is continuous and power requirement for pumping is low. Spontaneous emission Stimulated emission Atoms return to lower energy state without the help of external energy. Atoms return to lower energy state with the help of external energy. Uncontrolled random process Controlled regular process Polychromatic radiation Monochromatic radiation Incoherent radiation Coherent radiation Emission cannot be multiplied with chain reaction Emission can be multiplied with chain reaction Intensity of output radiation depends on the atoms present in the excited state. Intensity of output radiation depends on the atoms present in the excited state and also on the number of incident photons.