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LASER-II Unit-1

 

1. LASER

LASER stands for Light Amplification by Stimulated Emission of Radiation. The working principle of a laser is based on induced or stimulated emission.

 

2. TYPES OF LASERS

The various types of laser that have been developed so far, display a very wide range

of physical and operating parameters.

      according to the physical state of the active material - solid state (Ruby Laser, Nd:YAG Laser, Fiber Lasers), liquid Laser (Dye Lasers),  gas lasers (He-Ne Laser, CO2 Laser, Argon-Ion Laser),  free-electron lasers.

      According to the wavelength of the emitted radiation - infrared lasers, visible lasers, UV and X-ray lasers.Output powers cover an even larger range of values.

       lAccording to the Output Mode - Continuous Wave (CW) Lasers (these emit a steady, uninterrupted beam.Their power is measured in Watts. Examples: Laser pointers, fiber-optic communications, and industrial cutting lasers), Pulsed Lasers (These concentrate energy into short "bursts." While the average power might be low, the peak power during the pulse can be trillions of watts. Examples: Q-switching and Mode-locking used in tattoo removal or high-precision eye surgery.)

 

3. ABSORPTION,  SPONTANEOUS EMISSION, STIMULATED EMISSION

To understand these three processes, consider two energy levels of an atom  (Lower State) and  (Higher State). These three processes describe how light (photons) interact with atoms and are the fundamental building blocks of laser physics. Each involves the movement of electrons between energy levels, typically a lower energy state (ground state) and a higher energy state (excited state).Here is the explanation of each process:

Absorption

Absorption occurs when an atom in a low energy state  takes in energy from an incoming photon to move an electron to a higher energy state  The energy of the incoming photon must exactly match the difference between the two energy levels & . In the result the photon vanishes, and the atom becomes "excited."

Spontaneous Emission

An atom cannot stay in an excited state forever; it is naturally unstable. In spontaneous emission, the electron drops back down to the ground state on its own.

      The Process:- After a short period ( "excited state lifetime"), the electron falls from  to

      The Result:- A photon is released.

      Key Characteristic:- The emitted photon has a random direction and phase. This is the process responsible for most light we see, such as the glow from a lightbulb or a candle.

Stimulated Emission

This is the process that makes Lasers (Light Amplification by Stimulated Emission of Radiation) possible. It occurs when an incoming photon interacts with an atom that is already in an excited state.

      The Process:- Instead of being absorbed, the incoming photon "nudges" the excited electron to drop down immediately.

      The Result:- Two photons leave the atom—the original incoming photon and the newly emitted one.

      Key Characteristic:- The two photons are identical in every way: they have the same energy, direction, phase, and polarization. This creates "coherent" light.

Comparison Table

Feature

Absorption

Spontaneous Emission

Stimulated Emission

Initial State

Ground state ()

Excited state ()

Excited state ()

Trigger

External photon

Natural decay (random)

External photon

Photons Out

0

1

2 (Identical)

Light Type

N/A

Incoherent (Random)

Coherent ( Ordered)

4. Population Inversion

Population Inversion is the fundamental condition required for a laser to function.

Under normal thermal equilibrium, according to the Boltzmann Distribution, more atoms exist in the lower energy state () than in the higher energy state (). Population inversion is the unnatural state where the number of atoms in the excited state () exceeds the number of atoms in the ground state ().

Mathematically:  >

Why is it Necessary?

In a normal state (), if a photon enters the medium, it is more likely to be absorbed by a

ground-state atom than to cause stimulated emission.

To achieve Light Amplification, stimulated emission must dominate over absorption. This can only happen if there is a "crowd" of atoms waiting in the excited state, ready to be triggered by an incoming photon.

 

5. Metastable State

Achieving population inversion is difficult because atoms usually stay in an excited state for only about  seconds. To build up a population, we need a Metastable State.

 

       Excitation: Atoms are pumped from  to a very high energy level .

       Rapid Decay: They quickly fall to  (the metastable state) via a non-radiative transition (releasing heat instead of light).

       Accumulation: Atoms stay in the metastable state () for a much longer time (about  seconds).

       Inversion: Because they "hang out" in  longer than it takes to pump new ones up,  eventually becomes greater than  .

 

 

6. Pumping

Since population inversion is not a natural state, energy must be constantly supplied to the system to maintain it. This is done through Pumping:

      Optical Pumping: Using light (e.g., in Ruby lasers).

      Electric Discharge: Using electric current (e.g., in He-Ne gas lasers).

      Chemical Reactions: Using energy from a chemical bond.

Pumping creates Population Inversion.

An atom undergoes Spontaneous Emission, releasing a seed photon.

That photon triggers Stimulated Emission in the inverted population.

The process chain-reacts, resulting in a coherent Laser Beam.

 

7. Optically Pumped Laser Systems

Optical pumping is a process in which light is used to raise (or "pump") electrons from a lower energy level to a higher one in a laser medium. This creates the population inversion necessary for stimulated emission.

       Fundamental Principle:- In an optically pumped system, an external light source (the "pump") provides photons with energy h𝝂. If this energy matches the difference between two energy levels in the gain medium, electrons are excited to a higher state.

Three-Level Systems: The laser transition occurs between an excited state and the ground

state (e.g., Ruby Laser).

Four-Level Systems: The laser transition occurs between two excited states, which is

generally more efficient because the lower laser level is naturally depopulated (e.g.,

Nd:YAG Laser).

      Components of the Pumping System:-To maximize efficiency, the system requires specific components to couple the pump light into the active medium:

      The Pumping Cavity:- Usually an elliptical or circular reflector. In an elliptical cavity, the pump lamp is placed at one focus and the laser rod at the other, ensuring maximum light focus on the medium.

      The Optical Source:- Flashlamps: (e.g., Xenon or Krypton) Used for

pulsed lasers. They provide a broad spectrum of light.

 

8. Optical Source

In laser physics, the optical source (often called the "pump source") provides the energy required to achieve population inversion within the gain medium. The choice of source depends on the medium's absorption spectrum and whether the laser needs to operate in pulsed or continuous-wave (CW) mode.

Flashlamps (Incoherent Sources)

Flashlamps are high-intensity discharge lamps used primarily for pulsed solid-state lasers.

      Xenon Flashlamps:- Most common for high-energy pulsed lasers (like Ruby or Nd:YAG). They emit a broad spectrum of light from ultraviolet to infrared.

      Krypton Flashlamps:- These are often preferred for continuous-wave (CW) Nd:YAG lasers because their emission lines match the absorption peaks of Neodymium better than Xenon at lower power densities.

    Mechanism: A high-voltage discharge through the gas creates a plasma that emits radiant energy, which is then focused onto the laser rod using an elliptical reflector.

Laser Diodes (Coherent/Semi-Coherent Sources)

Diode pumping has largely replaced lamps in many modern applications, creating Diode-Pumped Solid-State (DPSS) lasers.

      Spectral Matching:- Unlike flashlamps, laser diodes can be manufactured to emit at a very specific wavelength (e.g., 808 nm for Nd:YAG). This matches the absorption band of the medium perfectly, minimizing heat.

      Efficiency:- Because there is less "waste" light, the thermal loading on the laser crystal is significantly reduced.

      Configurations:-

      End-Pumping: The diode beam is directed along the longitudinal axis of the laser rod. High beam quality but limited power.

      Side-Pumping: Multiple diode arrays surround the laser rod. Used for high-power industrial lasers.

Secondary Lasers (Laser Pumping)

In some high-performance systems, one laser is used as the optical source for another. This is common when the gain medium requires high spatial coherence or a very specific excitation energy.

      Argon-Ion Lasers:- Frequently used to pump Ti:Sapphire lasers or dye lasers.

      Frequency-Doubled Nd:YAG (532 nm):- Commonly used to pump tunable dye lasers or optical parametric oscillators (OPOs).

Solar Pumping

A more specialized optical source where concentrated sunlight is used to pump a laser medium.

    Application:- Primarily researched for space-based communication or renewable energy applications where external power is limited but solar flux is high.

 

Examples of Optically Pumped Lasers

 

Laser Type

Gain Medium

Pump Source

Characteristics

Ruby Laser

Cr3+ ions in Al2O3

 

Xenon Flashlamp

Three-level, pulsed, 694.3 nm

Nd:YAG

 

Nd3+ ions in Yttrium Aluminum Garnet

 

Laser Diode or Krypton Lamp

 

Four-level, high efficiency, 1064 nm

Dye Laser

Organic dyes in liquid solvent

Flashlamp or another Laser

Tunable wavelengths across the visible spectrum

Ti:Sapphire

Ti3+ ions in Sapphire

Green Argon Laser (514 nm)

Widely tunable, used for ultrashort pulses

 

9. projection geometries

projection geometries" refer to how energy is distributed into the gain medium (pumping) or how the resulting beam is shaped and directed onto a target (output).

 

End-Pumping (Longitudinal Pumping)

In this setup, the pump light from the optical source is focused directly into the face (end) of the laser rod, traveling along the same axis as the resulting laser beam.

      The Process: The optical source beam is aligned with the longitudinal axis of the crystal. Because the pump beam and the laser beam overlap almost perfectly, the energy conversion is extremely efficient.

      Beam Quality: Since the energy is concentrated in the center of the rod, it produces a very clean, high-quality beam.

      The Limitation: Because all the energy is focused on a small spot at the end of the rod, it creates significant thermal stress. If you pump too much power, the crystal can crack or suffer from "thermal lensing." This limits the total power output

Side-Pumping (Transverse Pumping)

In this configuration, multiple diode arrays are arranged around the sides of the laser rod, perpendicular to the laser beam's path.

      The Process:- The pump light enters from the circumference of the rod. This allows developers to pack many diode bars along the length of the rod, flooding the entire volume of the crystal with energy.

      Power Capability:- This is the preferred method for high-power industrial lasers. Because the heat is distributed across the entire surface area of the rod rather than just the tips, the system can handle much higher energy levels without destroying the crystal.

      The Trade-off:- The overlap between the pump light and the laser beam is less precise than in end-pumping. This results in slightly lower beam quality, though it is more than sufficient for heavy-duty tasks like melting or cutting steel.

Slab Geometry (The "Zig-Zag" Path)

To overcome the power limits of a round "rod," engineers use a flat, rectangular Slab of laser crystal.

      The Geometry:- The laser beam does not travel in a straight line. Instead, it reflects off the top and bottom surfaces in a zig-zag pattern using Total Internal Reflection (TIR).

      Thermal Advantage:- Because the slab is thin and has a large surface area, it can be cooled much more effectively than a rod. The zig-zag path also "averages out" thermal distortions, leading to a high-power beam that stays very straight and focused.

Thin-Disk Geometry

This is a modern geometry designed for extreme power with almost no thermal distortion.

      The Geometry:- The laser medium is a very thin disk (often only 100–200 micrometers thick) mounted on a high-performance heat sink.

      The Path:- The pump light is reflected back and forth through the disk multiple times using a parabolic mirror.

      Result:- Because the disk is so thin, heat is removed instantly from the back. This allows for multi-kilowatt power levels with the beam quality of a small lab laser

10. power supply

The power supply (often called a Laser Power Supply Unit or LSU) is the component responsible for converting electrical energy from a wall outlet or battery into the specific form required to "pump" the laser medium.

Because different lasers require vastly different types of energy—ranging from high-voltage sparks to steady low-voltage currents—power supplies are highly specialized. There are some types of Laser Power Supplies

Diode Laser Drivers (Low Voltage, High Precision)

Used for semiconductor lasers and DPSS (Diode-Pumping Solid-State) lasers.

      Mechanism: These provide a very stable, constant DC current.

      Critical Requirement: Laser diodes are extremely sensitive to "spikes." A tiny surge in voltage can destroy the diode instantly. Therefore, these supplies include "slow-start" circuits and heavy surge protection.

      Cooling: Often integrated with TEC (Thermoelectric Cooler) controllers to keep the diode at a constant temperature.

Gas Laser Supplies (High Voltage)

Used for Helium-Neon (HeNe) or CO2 lasers.

      Mechanism: These require a massive "ignition voltage" (often 10,000V to 20,000V) to ionize the gas and start the plasma discharge.

      Operation: Once the gas is glowing, the voltage drops to a lower "sustaining voltage" (around 2,000V to 5,000V) to keep the laser running.

Flashlamp / Arc Lamp Drivers (High Energy Storage)

Used for older solid-state lasers (like Ruby or Nd:YAG lasers) that aren't diode-pumped.

      Mechanism: These use large capacitor banks to store energy.

      The Pulse: The power supply charges the capacitors and then releases all that energy in a microsecond-long burst into a xenon flashlamp, creating an intense white light that pumps the laser rod.

Pulsed vs. Continuous Power

      CW (Continuous Wave): The power supply provides a steady stream of energy. It must be designed for high heat dissipation.

      Pulsed (Q-Switched): The power supply "pumps" energy into a storage medium (like a capacitor or the laser crystal itself) and then releases it all at once. This requires a supply that can The Quality Factor handle high peak loads followed by recovery periods.

11. Quality Factor (Q factor)

The quality factor (Q factor) is a dimensionless parameter that describes how well a laser resonator (the cavity between the mirrors) stores energy versus how much energy it loses per cycle. We define the Q factor of the cavity by the following equation:

Q = ω0

Here ω0 is the oscillation frequency of the mode. If W(t) represents the energy in the mode at time t, then from Eq. (7.24) we obtain

Q = ω0

 = -

whose solution is

W(t) = W(0)

Thus if  represents the cavity lifetime, the time in which the energy in the mode decreases by a factor  then,

 =

12. Pulsed Operation of Lasers

In many applications of lasers, one wishes to have a pulsed laser source. In principle it is possible to generate pulses of light from a continuously operating laser, but it would be even more efficient if the laser itself could be made to emit pulses of light. In this case the energy contained in the population inversion would be much more efficiently utilized. There are two standard techniques for the pulsed operation of a laser; these are Q-switching and mode locking. Q-switching is used to generate pulses of high energy but nominal pulse widths in the nanosecond regime. On the other hand mode locking produces ultrashort pulses with smaller energy content. We shall see that using mode locking it is possible to produce laser pulses in the femtosecond regime.

 

13. Q-Switching

Imagine a laser cavity within which we have placed a shutter which can be opened and closed at will. Let us assume that the shutter is closed (does not transmit) and we start to pump the amplifying medium. Since the shutter is closed, there is no feedback from the mirror and the laser beam does not build up. Since the pump is taking the atoms from the ground state and disposing them into the excited state and there is no stimulated emission the population inversion keeps on building up. This value could be much higher than the threshold inversion required for the same laser in the absence of the shutter. When the inversion is built to a reasonably high value, if we now open the shutter, then the spontaneous emission is now able to reflect from the mirror and pass back and forth through the amplifying medium. Since the population inversion has been built up to a large value, the gain

provided by the medium in one round trip will be much more than the loss in one round trip and as such the power of the laser beam would grow very quickly with every passage. The growing laser beam consumes the population inversion, which then decreases rapidly resulting in the decrease of power of the laser beam. Thus when the shutter is suddenly opened, a huge light pulse gets generated and this technique is referred to as Q-switching. High losses imply low Q while low losses imply high Q. Thus when the shutter is kept closed and suddenly opened, the Q of the cavity is suddenly increased from a very small value to a large value and hence the name Q-switching. For generating another pulse the medium would again need to be pumped while the shutter is kept closed and the process repeated again. Figure shows schematically the time variation of the cavity loss, cavity Q, population inversion, and the output power. As shown in the figure an intense pulse is generated with the peak intensity appearing when the population inversion in The cavity is equal to the threshold value. Figure shows a Q-switched pulse emitted from a neodymium–YAG laser. Using this phenomenon it is possible to generate extremely high power pulses for use in various applications such as cutting, drilling, or in nuclear fusion experiments. Pulse width of Q-switched laser can be approximated by


 Pulse width (Δt) ≈  

Where

            - cavity decay time

             - threshold population inversion

            - initial population inversion before switching

 

 

 

14. TECHNIQUES FOR Q-SWITCHING

The techniques for Q-switching are generally classified into two categories:

      Active (controlled by external electronics) and

      Passive (self-triggered by the light intensity).

Electro-Optic Q-Switching (Active)

This is the most precise method, utilizing the Pockels Effect. A Pockels cell (a crystal like LiNbO3) and a polarizer are placed inside the cavity. When a specific voltage (the quarter-wave voltage) is applied, the crystal induces a phase shift that changes the polarization of the light. The polarizer then rejects this light, preventing feedback (Low Q). When the voltage is rapidly switched off, the polarization remains unchanged, the light passes through the polarizer, and the "giant pulse" is released (High Q). The switching speed of this method is Extremely fast (< 1 ns).

Acousto-Optic Q-Switching (Active)

Used extensively in high-repetition-rate lasers (like Nd:YAG). A piezoelectric transducer is attached to a transparent medium (usually quartz). When an RF signal is applied, it creates ultrasonic waves that produce periodic variations in the refractive index, acting like a diffraction grating. This grating deflects the beam away from the cavity axis (Low Q). Switching the RF signal off stops the diffraction, allowing the beam to oscillate normally (High Q).

This method has high reliability and is capable of switching at rates of several hundred kHz.

 

Passive Q-Switching (Saturable Absorber)

This technique does not require external drivers or power supplies, making it compact and cost-effective.A Saturable Absorber (a dye or a doped crystal like Cr4+ :YAG) is placed in the cavity. Initially, the absorber has high opacity, preventing lasing.

As the pump source increases the population inversion, the intra-cavity photon density rises. Once the light intensity reaches the "saturation intensity" of the absorber, the ground-state population of the absorber is depleted, making it suddenly transparent (the "bleaching" effect). The pulse is released, and once the intensity drops, the absorber "recovers" its opacity.

Mechanical Q-Switching

The oldest and simplest form of Q-switching. One of the resonator mirrors is rotated at high speeds (up to 30,000 RPM). The cavity only has a high Q-factor during the very brief window when the rotating mirror is perfectly parallel to the stationary mirror. It is difficult to synchronize with external events, and mechanical wear is a significant factor.

 

15. MODE-LOCKING

Mode-locking is a technique in optics used to produce extremely short pulses of light, typically in the femtosecond (10-15 s) range. While a standard laser might produce a continuous beam or relatively long pulses, a mode-locked laser concentrates all its energy into a tiny, high-intensity "packet" of light that bounces back and forth within the laser cavity.

Q-switching produces very high energy pulses but the pulse durations are typically in the nanosecond regime. In order to produce ultrashort pulses of durations in picoseconds or shorter, the technique most commonly used is mode locking. In order to understand mode locking let us first consider the formation of beats when two closely lying sound waves interfere with each other. In this case we hear beats due to the fact that the two sound waves (each of constant intensity) being of slightly different frequency will get into and out of phase periodically (Fig. 15.1). When they are in phase then the two waves add constructively to produce a larger intensity. When they are out of phase, then they will destructively interfere to produce no sound. Hence in such a case we hear a waxing and waning of sound waves and call them as beats.

Figure - 15.1

Mode locking is very similar to beating except that instead of just two waves now we are dealing with a large number of closely lying frequencies of light. Thus we expect beating between the waves; of course this beating will be in terms of intensity of light rather than intensity of sound. In order to understand mode locking, we first consider a laser oscillating in many frequencies simultaneously. Usually these waves at different frequencies are not correlated and oscillate almost independently of each other, i.e., there is no fixed-phase relationship between the different frequencies. In this case the output consists of a sum of these waves with no correlation among them. When this happens the output is almost the sum of the intensities of each individual mode and we get an output beam having random fluctuations in intensity. In Figure - 15.2 We have plotted the output intensity variation with time obtained as a sum of eight different equally spaced frequencies but with random phases. It can be seen that the output intensity varies randomly with time resembling noise.

Figure - 15.2

Now, if we can lock the phases of each of the oscillating modes, for example bring them all in phase at any time and maintain this phase relationship, then just like in the case of beats, once in a while the waves will have their crests and troughs coinciding to give a very large output and at other times the crests and troughs will not be overlapping and thus giving a much smaller intensity.

In such a case the output from the laser would be a repetitive series of pulses of light and such a pulse train is called mode-locked pulse train and this phenomenon is called mode locking.

Figure -15.3

 

Figure - 15.4 shows the output intensity variation with time corresponding to the same set of frequencies as used to plot Fig. 15.2, but now the different waves have the same initial phase. In this case the output intensity consists of a periodic series of pulses with intensity levels much higher than obtained with random phases. The peak intensity in this case is higher than the average intensity in the earlier case by the number of modes beating with each other. Also the pulse width is inversely proportional to the number of frequencies.

Figure - 15.4

 

Types of Mode-Locking

There are two primary ways to achieve this synchronization:

1.     Active Mode-Locking

  1. Passive Mode-Locking

Active Mode-Locking

An external signal is used to modulate the light inside the cavity. This is often done with an Acousto-Optic Modulator (AOM), which acts like a fast shutter that only opens when the pulse is expected to pass through, forcing the light to organize into a pulse.

Figure 15.5

Passive Mode-Locking

This does not require external electronics. Instead, a Saturable Absorber is placed in the cavity. This material absorbs low-intensity light but becomes transparent (saturates) when high-intensity light hits it. This naturally favors the formation of a single intense pulse over a continuous weak beam.

Because these pulses are so short, they are used in:

      Ultrafast Spectroscopy: To "freeze" and study chemical reactions as they happen.

      Precision Machining: For surgery (like LASIK) or micro-drilling where heat must not spread to surrounding tissue.

      Optical Communications: Sending high-speed data packets over fiber optics.

      Frequency Combs: Used in optical clocks for ultra-precise timekeeping.

16. Ruby Lasers

The first laser to be operated successfully was the ruby laser which was fabricated by Maiman in 1960. Ruby, which is the lasing medium, consists of a matrix of aluminum oxide in which some of the aluminum ions are replaced by chromium ions. It is the energy levels of the chromium ions which take part in the lasing action. Typical concentrations of chromium ions are ~0.05% by weight. The energy level A diagram of the chromium ion is shown in Fig. 16.1. As is evident from figure this a three-level laser. The pumping of the chromium ions is performed with the help of flash lamp (e.g., a xenon or krypton flashlamp) and the chromium ions in the ground state absorb radiation around wavelengths of 5500 Å and 4000 Å and are excited to the levels marked E1 and E2.

   Figure - 16.1                                                                                    Figure- 16.2


The chromium ions excited to these levels relax rapidly through a non-radiative transition to the level marked M which is the upper laser level. The level M is a metastable level with a lifetime of 3 ms. Laser emission occurs between level M and the ground state G at an output wavelength of λ0 = 6943 Å. The flashlamp operation of the laser leads to a pulsed output of the laser. As soon as the flashlamp stops operating the population of the upper level is depleted very rapidly and lasing action stops till the arrival of the next flash. Even during the short period of a few tens of microseconds in which the laser is oscillating, the output is a highly irregular function of time with the intensity having random amplitude fluctuations of varying duration as This is called laser spiking, the formation of which can be understood as follows: when the pump is turned on, the intensity of light at the laser transition is small and hence the pump builds up the inversion rapidly. Although under steady-state conditions the inversion cannot exceed the threshold inversion, on a transient basis it can go beyond the threshold value due to the absence of sufficient laser radiation in the cavity which causes stimulated emission. Thus the inversion goes beyond threshold when the radiation density in the cavity builds up rapidly. Since the inversion is greater than threshold, the radiation density goes beyond the steady-state value which in turn depletes the upper level population and reduces the inversion below threshold. This leads to an interruption of laser oscillation till the pump can again create an inversion beyond threshold. This cycle repeats itself to produce the characteristic spiking in lasers. Figure 16.2 shows a typical setup of a flashlamp pumped pulsed ruby laser. The helical flashlamp is surrounded by a cylindrical reflector to direct the pump light onto the ruby rod efficiently. The ruby rod length is typically 2–20 cm with diameters of 0.1–2 cm. typical input electrical energies

required are in the range of 10–20 kJ. In addition to the helical flashlamp pumping scheme shown in Fig. 16.2, one may use other pumping schemes such as that pump lamp and the laser rod are placed along the foci of an elliptical cylindrical reflector. It is well known that the elliptical reflector focuses the light emerging from one focus into the other focus of the ellipse, thus leading to an efficient focusing of pump light on the laser rod. In spite of the fact that the ruby laser is a three-level laser, it still is one of the important practical lasers. The absorption bands of ruby are very well matched with the emission spectra of practically available flashlamps so that an efficient use of the pump can be made. It also has a favorable combination of a long lifetime and a narrow linewidth. The ruby laser is also attractive from an application point of view since its output lies in the visible region where photographic emulsions and photodetectors are much more sensitive than they are in the infrared region. Ruby lasers find applications in pulsed holography, in laser ranging, etc.

 

17. Neodymium-Based Lasers

The Nd:YAG laser (YAG stands for yttrium aluminum garnet which is Y3Al5O12) and the Nd:glass laser are two very important solid-state laser systems in which the energy levels of the neodymium ion take part in laser emission. They both correspond to a four-level laser. Using neodymium ions in a YAG or glass host has specific advantages and applications.

(a)    Since glass has an amorphous structure the fluorescent linewidth of emission is very large leading to a high value of the laser threshold. On the other hand YAG is a crystalline material and the corresponding linewidth is much smaller which implies much over thresholds for laser oscillation.

(b)    The fact that the linewidth in the case of the glass host is much larger than in the case of the YAG host can be made use of in the production of ultrashort pulses using mode locking since as discussed in Section 7.7.3, the pulsewidth obtainable by mode locking is the inverse of the oscillating linewidth.

(c)   The larger linewidth in glass leads to a smaller amplification coefficient and thus the capability of storing a larger amount of energy before the occurrence of saturation. This is especially important in obtaining very high-energy pulses using Q-switching.

(d)   Other advantages of the glass host are the excellent optical quality and excellent uniformity of doping that can be obtained and also the range of glasses with different properties that can be used for solving specific design problems.

(e)   As compared to YAG, glass has a much lower thermal conductivity which may lead to induced birefringence and optical distortion.

 

From the above discussion we can see that for continuous or very high pulse repetition rate operation the Nd:YAG laser will be preferred over Nd:glass. On the other hand for high energy-pulsed operation, Nd:glass lasers may be preferred. In the following we discuss some specific characteristics of Nd:YAG and Nd:glass laser systems.

 

18. Nd:YAG Laser

The Nd:YAG laser is a four-level laser and the energy level diagram of the Neodymium ion is shown in Fig. 18.1. The laser emission occurs at λ0 ≈ 1.06μm.

Since the energy difference between the lower laser level and the ground level is

0.26 eV, the ratio of its population to that of the ground state at room temperature

(T= 300 K) is . Thus the lower laser level is almost unpopulated and hence inversion is easy to achieve. The main pump bands for excitation of the neodymium ions are in the 0.81 and 0.75 μm wavelength regions and pumping is done using arc lamps (e.g., the Krypton arc lamp). Typical neodymium ion concentrations used are 1.38 × 1020 . The spontaneous lifetime corresponding to the laser transition is 550 μs and the emission line corresponds to homogeneous broadening and has a width v 1.2 × 1011 Hz which corresponds to λ 4.5Å.

We know that the Nd:YAG laser has a much lower threshold of oscillation than a ruby laser.

With the availability of high-power compact and efficient semiconductor lasers, efficient pumping of Nd ions to upper laser level can be accomplished using laser diodes. This leads to very compact diode pumped Nd-based lasers. Diode laser pumping is simpler than lamp pumping and also produces much less heat in the laser medium leading to increased overall efficiency. Since the laser diode output is narrow band unlike a normal lamp, the output at 808 nm can be efficiently used for pumping. Typical output powers of 150 W are commercially available. In fact an intracavity second-harmonic generator can efficiently convert the laser wavelength to 532 nm (the second harmonic of 1064 nm of Nd:YAG) leading to very efficient

green lasers. Nd:YAG lasers find many applications in range finders, illuminators with Q-

switched operation giving about 10–50 pulses per second with output energies in

the range of 100 mJ per pulse, and pulse width 10 ns. They also find applications

in resistor trimming, scribing, micromachining operations as well as welding, hole

drilling, etc.

 

19. Nd:Glass Laser

The Nd:glass laser is again a four-level laser system with a laser emission around 1.06 μm. Typical neodymium ion concentrations are 2.8 × 1020 cm–3 and various silicate and phosphate glasses are used as the host material. Since glass has an amorphous structure different neodymium ions situated at different sites have slightly different surroundings. This leads to an inhomogeneous broadening and the resultant linewidth is v 7.5 × 1012 Hz which corresponds to λ 260 Å. This width is much larger than in Nd:YAG lasers and consequently the threshold pump powers are also much higher. The spontaneous lifetime of the laser transition is 300 μs. Nd-doped fiber lasers are also efficient. Chapter  2 discusses fiber lasers and primarily erbium-doped fiber lasers. But similar analysis can also be carried out for Nd-doped fiber lasers.

Nd:glass lasers are more suitable for high energy-pulsed operation such as in laer fusion where the requirement is of subnanosecond pulses with an energy con- tent of several kilojoules (i.e., peak powers of several tens of terawatts). Other  applications are in welding or drilling operations requiring high pulse energies

 

20. AMPLIFIERS FOR LASERS AND THEIR CHARACTERISTICS

AOptical amplifiers increase the power of a laser beam through stimulated emission without converting the optical signal into an electrical one. These are broadly classified into Laser Amplifiers (using a gain medium) and Nonlinear Amplifiers.

Laser Amplifiers (Based on Stimulated Emission)

These amplifiers use a gain medium—such as a crystal, glass, or semiconductor—that is pumped to achieve population inversion.

      Fiber Amplifiers:- Utilize rare-earth-doped fibers (e.g., Erbium (EDFA) or Ytterbium (YDFA)).

    Pros- High gain, excellent beam quality, and effective heat dissipation due to high surface-to-volume ratio.

    Common Use- Long-distance fiber optic communication (EDFAs at 1550 nm).

      Solid-State Amplifiers: Use bulk crystals or glass doped with ions like Nd³⁺ or Ti³⁺.

    Pros- High peak power scaling; ideal for high-energy applications.

    Common Use- Industrial laser marking, welding, and scientific research.

      Semiconductor Optical Amplifiers (SOA): Based on laser diode structures with anti-reflective coatings to prevent oscillation.

    Pros- Compact and electrically pumped, allowing for easy integration into photonic circuits.

    Common Use- Optical switching and pre-amplifiers in data centres.

Amplification Architectures

The configuration of the amplifier significantly impacts its gain and efficiency.

Configuration

Description

Best Use Case

One-Pass

Beam passes through the gain medium once.

High-power inputs with high gain media (e.g., Nd:YAG).

Multipass

Uses mirrors to guide the beam through the medium multiple times at different angles.

Amplifying ultrashort pulses (<50 fs) while minimizing nonlinear distortions.

Regenerative

Pulse is trapped in an optical resonator using a Pockels cell and makes many round trips.

Achieving extremely high gain (up to 10⁶) from very weak seed pulses.

Nonlinear Amplifiers

These do not rely on energy storage in the medium; gain is provided only while the pump light is present.

      Optical Parametric Amplifiers (OPA): Based on $\chi^{(2)}$ nonlinearity in crystals; wavelength is tunable via phase-matching.

      Raman Amplifiers: Exploit Stimulated Raman Scattering (SRS) in optical fibers.

21. SEMICONDUCTING LASER

Semiconductor lasers or laser diodes play an important part in our everyday lives by providing

cheap and compact-size lasers. They consist of complex multi-layer structures requiring nanometer scale accuracy and an elaborate design. Their theoretical description is important not only from a fundamental point of view, but also in order to generate new and improved designs. It is common to all systems that the laser is an inverted carrier density system. The carrier inversion results in an electromagnetic polarization which drives an electric field In

In most cases, the electric field is confined in a resonator, the properties of which are also important  factors for laser performance.

In semiconductor laser theory, the optical gain is produced in a semiconductor material. The choice of material depends on the desired wavelength and properties such as modulation speed. It may be a bulk semiconductor, but more often a quantum hetero structure. Pumping may be electrically or optically (disk laser). All these structures can be described in a common framework and in differing levels of complexity and accuracy. Light is generated in a semiconductor laser by radiative recombination of electrons and holes. In order to generate more light by stimulated emission than is lost by absorption, the system has to be inverted, see the  article on lasers. A laser is, thus, always a high carrier density system that entails many-body interactions. These cannot be taken into account exactly because of the high number of particles involved.

Correlation effects

Taking the collision terms into account explicitly requires a large numerical effort, but can be done with state-of-the-art computers. Technically speaking, the collision terms in the semiconductor Bloch equations are included in the second-Born approximation. This  microscopic model has the advantage of having predictive character, i.e., it yields the correct  line width for any temperature or excitation density. In the other models, the relaxation time has  to be extracted from the experiment, but depends on the actual parameters meaning the experiment has to be redone for any temperature and excitation intensity.

Intrinsic Semi Conducting Laser

A semiconductor is a material whose conductivity lies between those of conductor and insulator.  Semiconductors are of two types:

a)     Intrinsic semiconductors or pure semiconductors

b)     Extrinsic semiconductors or doped semiconductors. Extrinsic semiconductors are further classified into two types depending upon the type of majority carriers:

i) n-type semiconductors where electrons are majority carriers.

ii) p- type semiconductors where holes are majority carriers.

When a p-type semiconductor and a n- type semiconductor are joined by special techniques, there will be flow of electrons from n side to p side and flow of holes from p side to n side. After some time, an electric field will be created which will oppose this flow and flow stops. Thus, there will be formation of depletion regions. This region is called so because it is depleted from charge carriers.

 

22. Colour Centre Lasers

A Colour Centre Laser (or Color Center Laser) is a type of tunable solid-state laser that uses crystal defects, specifically F-centers, as the active gain medium. These lasers are primarily used for high-resolution spectroscopy in the near-infrared region.

The Active Medium: F-Centers

The term "F-center" comes from the German Farbzentrum, meaning "colour centre".

      Structure:- An F-center is a point defect where an anionic vacancy in an ionic crystal (typically an alkali halide like NaCl or KCl) is occupied by one or more unpaired electrons.

      Optical Effect:- These trapped electrons absorb light in the visible spectrum, causing normally transparent crystals to become coloured.

      Laser-Active Types:- Not all defects are suitable for lasing.

Operational Principle

Colour centre lasers operate similarly to dye lasers but use a solid crystal instead of a liquid solution.

Pumping:

They require optical pumping, usually provided by another laser such as an Argon-ion, Krypton-ion, or Nd:YAG laser.

      Four-Level System: They typically function as a four-level laser system. The electron is excited to a higher state, relaxes to a "shifted" excited state via phonon interactions, undergoes stimulated emission, and then relaxes back to the ground state.

      Broad Tunability: Because of strong electron-phonon coupling, the emission bands are very broad, allowing the laser to be smoothly tuned over a wide range of wavelengths.

      can produce ultrashort pulses in mode-locked operation.

Applications

      Spectroscopy:- Their primary use is in molecular spectroscopy and high-resolution gas sensing.

      Fiber Optics:- Testing of optical components in the 1.3μm$ to 1.6μm telecommunications window.

      Metrology:- Used in precision measurement and as components in frequency chains.


-: Ghanshyam Ji Yadav Sir

 

 

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