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Q-SWITCHING FOR
GIANT PULSES
Submitted by,
KAAAVYA B
Holy Cross College,Trichy 2
Why Q- Switching ?
▪ For obtaining high power pulses from a laser, there are
different techniques available.
▪ They are Q-switching, cavity dumping and mode locking.
▪ Q-switching and cavity dumping techniques make large peak
powers available for a short time.
▪ Since a laser is an optical oscillator, its resonator cavity may be
characterized by the quality factor Q.
▪ Q = 2Π Energy stored in the resonator / Energy lost in a cycle.
▪ Q-factor is a measure of the mirror losses.
▪ The power of a laser beam can be drastically increased, provided a very large
number of atoms in the active medium participates in stimulated emission.
▪ It can happen only when a very high population inversion density is
established in the active medium.
▪ Normally when the laser starts oscillations, high population inversion drops
back to the threshold value of the steady state condition.
▪ The laser can be prevented from oscillating if , for example , the parallelism of
the resonator mirrors is disturbed.
▪ If one of the end mirrors is misaligned, it cannot reflect incident photons
into the active medium and therefore, stimulated emission cannot
take place.
▪ The pumping process can build up the population
inversion to a very high value in the medium.
▪ In effect, Q-factor of resonator is reduced and optical
losses are increased to a high value.
▪ If now the end mirror is aligned suddenly, it reflects
photons into the laser medium.
▪ The feed back of photons triggers a chain of
stimulated emissions and builds up rapidly a photon
avalanche.
▪ Thus laser oscillations set in suddenly and the cavity Q
is increased abruptly.
▪ All the energy stored in the cavity is emitted in a
single giant pulse with peak power much higher than
the laser could produce normally.
▪ The pulse lasts for a short time and depopulates the
upper energy level quickly and lasing action stops.
▪ This method of controlling the laser output power is
called Q- switching method.
▪The pulse duration depends on many factors
but usually is of the order of 10-7 to 10-8 sec.
▪Expression for the total number of photons φ
in the laser cavity and will find peak power.
▪Basic Laser Cavity Rate Equations.
▪Decay time constant tc = μl / c(l-R)
▪But tc = μl / c(αL – ln(R1R2)1/2 )
▪The change in light intensity per unit
time within the amplifier is given by
▪dI / dt = dI/dz . dz/dt
▪I(z) = I eγz
▪dI/dt = γI
▪dz/dt = c/μ
▪dI / dt = γ (c/μ) (L/l) I
▪The number of photons φ is proportional
to the light intensity I
▪dφ/ dt α dI /dt
▪The decrease in the number of photons
per unit time is given by φ /tc which is
due to the incidental resonator losses.
▪Total change in the number of photons
within the cavity is
dφ /dt = φγcL /μl – φ /tc
dφ /dt = φ[γcL /μl – 1 /tc ]
where τ = 1/tc
dφ /dτ = φ[γcLtc /μl – 1 ]
▪dφ /dτ = φ[γ / (μl / cLtc ) – 1 ]
▪= Φ [γ / γth – 1]
▪Where γth = μl / cLtc is the threshold gain
at which laser oscillations will be
sustained.
▪Since dφ / dτ =0 and γ = γth
▪dφ /dτ = Φ [n/ nth – 1]
▪Where nth =N2 –N1 / V ---threshold
inversion.
▪Every time a photon is emitted in the
stimulated emission process, n changes
by a factor of 2.
▪dn/dτ = -2φ (n/nth)
▪dφ/dn = ½ [nth/n -1]
▪On integration
▪φ-φ0 = ½ [ nthln (n/n0 ) – (n-n0 ) ]
▪Φ0 & n0 are initial values.
▪No photons initially φ0 = 0
▪φ = ½ [ nthln (n/n0 ) – (n-n0 ) ]
▪For t>>tc (φ=0) -----no photons in cavity
▪Ln (nf /n0 ) = nf – n0 / nth
▪nf is the final value of population
inversion
▪nf /n0 = e[n
f
–no /n
th
]
▪φ = ½ [ nthln (n/n0 ) – (n-n0 ) ]
▪For t>>tc (φ=0) -----no photons in cavity
▪Ln (nf /n0 ) = nf – n0 / nth
▪nf is the final value of population
inversion
▪nf /n0 = e[n
f
–no /n
th
]
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Q switching for giant pulses in laser

  • 1. Q-SWITCHING FOR GIANT PULSES Submitted by, KAAAVYA B Holy Cross College,Trichy 2
  • 2. Why Q- Switching ? ▪ For obtaining high power pulses from a laser, there are different techniques available. ▪ They are Q-switching, cavity dumping and mode locking. ▪ Q-switching and cavity dumping techniques make large peak powers available for a short time. ▪ Since a laser is an optical oscillator, its resonator cavity may be characterized by the quality factor Q. ▪ Q = 2Π Energy stored in the resonator / Energy lost in a cycle.
  • 3. ▪ Q-factor is a measure of the mirror losses. ▪ The power of a laser beam can be drastically increased, provided a very large number of atoms in the active medium participates in stimulated emission. ▪ It can happen only when a very high population inversion density is established in the active medium. ▪ Normally when the laser starts oscillations, high population inversion drops back to the threshold value of the steady state condition. ▪ The laser can be prevented from oscillating if , for example , the parallelism of the resonator mirrors is disturbed. ▪ If one of the end mirrors is misaligned, it cannot reflect incident photons into the active medium and therefore, stimulated emission cannot take place.
  • 4. ▪ The pumping process can build up the population inversion to a very high value in the medium. ▪ In effect, Q-factor of resonator is reduced and optical losses are increased to a high value. ▪ If now the end mirror is aligned suddenly, it reflects photons into the laser medium. ▪ The feed back of photons triggers a chain of stimulated emissions and builds up rapidly a photon avalanche.
  • 5. ▪ Thus laser oscillations set in suddenly and the cavity Q is increased abruptly. ▪ All the energy stored in the cavity is emitted in a single giant pulse with peak power much higher than the laser could produce normally. ▪ The pulse lasts for a short time and depopulates the upper energy level quickly and lasing action stops. ▪ This method of controlling the laser output power is called Q- switching method.
  • 6. ▪The pulse duration depends on many factors but usually is of the order of 10-7 to 10-8 sec. ▪Expression for the total number of photons φ in the laser cavity and will find peak power. ▪Basic Laser Cavity Rate Equations. ▪Decay time constant tc = μl / c(l-R) ▪But tc = μl / c(αL – ln(R1R2)1/2 )
  • 7. ▪The change in light intensity per unit time within the amplifier is given by ▪dI / dt = dI/dz . dz/dt ▪I(z) = I eγz ▪dI/dt = γI ▪dz/dt = c/μ ▪dI / dt = γ (c/μ) (L/l) I
  • 8. ▪The number of photons φ is proportional to the light intensity I ▪dφ/ dt α dI /dt ▪The decrease in the number of photons per unit time is given by φ /tc which is due to the incidental resonator losses.
  • 9. ▪Total change in the number of photons within the cavity is dφ /dt = φγcL /μl – φ /tc dφ /dt = φ[γcL /μl – 1 /tc ] where τ = 1/tc dφ /dτ = φ[γcLtc /μl – 1 ]
  • 10. ▪dφ /dτ = φ[γ / (μl / cLtc ) – 1 ] ▪= Φ [γ / γth – 1] ▪Where γth = μl / cLtc is the threshold gain at which laser oscillations will be sustained. ▪Since dφ / dτ =0 and γ = γth ▪dφ /dτ = Φ [n/ nth – 1]
  • 11. ▪Where nth =N2 –N1 / V ---threshold inversion. ▪Every time a photon is emitted in the stimulated emission process, n changes by a factor of 2. ▪dn/dτ = -2φ (n/nth)
  • 12. ▪dφ/dn = ½ [nth/n -1] ▪On integration ▪φ-φ0 = ½ [ nthln (n/n0 ) – (n-n0 ) ] ▪Φ0 & n0 are initial values. ▪No photons initially φ0 = 0
  • 13. ▪φ = ½ [ nthln (n/n0 ) – (n-n0 ) ] ▪For t>>tc (φ=0) -----no photons in cavity ▪Ln (nf /n0 ) = nf – n0 / nth ▪nf is the final value of population inversion ▪nf /n0 = e[n f –no /n th ]
  • 14. ▪φ = ½ [ nthln (n/n0 ) – (n-n0 ) ] ▪For t>>tc (φ=0) -----no photons in cavity ▪Ln (nf /n0 ) = nf – n0 / nth ▪nf is the final value of population inversion ▪nf /n0 = e[n f –no /n th ]
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