Detailed Notes on Photonics - Light Sources: The Laser
Photonics - Light Sources: The Laser
Introduction
- Module 2 focuses on light sources, specifically lasers.
- Electromagnetic radiation sources are categorized and explored.
History of Light Sources
- Early Light Sources
- Sun and fire were the earliest light sources.
- 20,000 years ago: First "artificial" light using fire.
- 5,000 years ago: Primitive oil lamps using animal fats, fish oils, and whale oil.
- Systematic use of oil lamps in Egypt, Greece, and Rome.
- 17th-19th Century Developments
- Approximately 1650: Invention of the oil lamp and first street lighting.
- Approximately 1780: Substantial improvements in oil lamps during the Industrial Revolution.
- 1802: Sir Humphrey Davy discovered electric glow and demonstrated electric arc between two carbon electrodes, used for street lighting and early films.
- Approximately 1810: Gas lighting introduced for street illumination.
- 1852: Stokes discovered UV fluorescence emission and Stokes shift (change in light wavelength) using fluorite glass and uranium.
- Late 19th Century - Early 20th Century
- 1879: Thomas Edison and Joseph Swan presented the first incandescent lamp using a carbon blade, lasting 40 hours.
- 1881: Long-life carbon filaments patented. Planned obsolescence limited incandescent bulb life to 1000 hours.
- 1901: Operation of the first low-pressure mercury discharge lamp.
- 1913: Incandescent bulbs with tungsten filaments reached 12 lumens per watt (lm/w).
- 1924: Discovery of phosphors to convert UV light to visible fluorescence (no phosphorescence/radioactivity).
- 1927: First LED developed but very inefficient.
- 1932: Development of low-pressure discharge lamps.
- 1936: Demonstration of the first fluorescent lamp.
- 1961: Patent of the first halogen lamp.
- 1960: First laser obtained (Ruby laser).
- 1965: Development of high-pressure sodium lamp.
- Late 20th Century - Early 21st Century
- 1980: Introduction of Compact Fluorescent Lamps (CFLs).
- 2000: Commercial LEDs introduced.
- 2003: First blackout on the East Coast of the United States, leading to more efficient electric power transmission and lighting sources.
- Since September 1, 2009: EU Ecodesign lighting regulations progressively phased out inefficient incandescent and halogen light bulbs.
Timeline of Light Source Development
- 1780: Oil lamp
- 1800: Gas lamp, platinum filament
- 1820: Vacuum tube lamp
- 1840: Arc lamp
- 1860: Fluorescent lamp
- 1870: Electric light bulb
- 1880: Long-lasting filament
- 1900: Gas-discharge lamp, mercury-vapor lamp, neon lighting
- 1910: Tungsten filament
- 1920: Fluorescent lamp
- 1960: Light-emitting diode
- 1980: Compact Fluorescent Lamp
- 1990: SON, Wanic Light Emitting Diode, magnetic induction lamp, sulfur lamp
Luminous Efficacy
- Luminous efficacy (lumens per watt) increased with advancements in light source technology.
- Incandescent lamps have low efficacy, while LEDs have high efficacy.
Photometric Units
- The luminous intensity is based on the luminosity function, modeling human eye sensitivity.
- Formula:
- Where is the luminous intensity.
- is the intensity in W/sr (watts per steradian).
- is the luminosity function.
- Luminous Efficacy is the ratio of luminous flux to consumed power (lm/W).
Photometric Units Table
| Symbol | Unit of the SI | Abbreviation | Notes |
|---|---|---|---|
| Luminous Intesity | candela | cd | Basic unit of the SI |
| Luminous Flux | lumen (= cd* sr) | lm | Also referred as luminous power |
| Luminous Energy | lumen second | lm·s | Visible energy |
| Luminance | candela/m² | cd/m² | |
| Illuminance | lux (=lm/m²) | lx | Used when light impinges a surface |
Sources of Electromagnetic Radiation
- Classical Theory: Radiation emitted by accelerated charges (mainly electrons), resulting in a continuous spectrum.
- Quantum theory: Transitions between energy levels or bands. When a system transitions from a higher to a lower energy level, it emits a photon.
- Photon energy equals the energy difference between levels.
- Spontaneous emission: Fluorescent lamps and LEDs.
- Stimulated emission: Lasers.
- Leads to a discrete spectrum.
- Where is the frequency of emitted radiation.
- is the energy difference between the two levels.
- is Planck's constant.
Classical Explanation of Thermal Agitation
- Thermal agitation causes varying velocities and accelerations of electrons.
- Each electron emits a different frequency, resulting in a wide spectral range.
- Classical theory explains experimentation qualitatively but not quantitatively, especially at high temperatures.
- This leads to quantum theory (Planck, late 19th century).
Black Body Radiation
- Ideal thermal absorber-emitter that results from the balance between absorption and emission of light by atoms or molecules at a given temperature.
- Emission relies on body characteristics and the environment.
Molecular Energy Levels and Boltzmann Distribution:
- Boltzmann's energy distribution works even though it is continuous and does not include quantum mechanics.
- Increasing temperature promotes molecules to higher energy states.
- Boltzmann Constant:
Light-Matter Interaction Processes (Radiative Processes)
- Photon Absorption: Atom absorbs photon energy, transitioning to an excited state.
- Stimulated Emission: A photon stimulates the emission of a second photon; the atom returns to ground state. The emitted photon has the same direction and phase as the incident photon.
- Spontaneous Emission: Atom moves from excited state to ground state, emitting a photon. Emission direction is undefined. Excited states are unstable.
Rate Equations and Einstein Coefficients
- Simple two-level system. Rate equations for photon absorption and emission depend on:
- Number of atoms in energy levels (level populations): and
- Energy density of radiation with frequency for absorption and stimulated emission
- , , and are the Einstein coefficients, where .
- Absorption Rate:
- Stimulated Emission Rate:
- Spontaneous Emission Rate:
- Total Rate:
- Black body in thermal equilibrium.
Black Body Radiation and Planck's Postulate
- Ultraviolet Catastrophe: Classical calculations predicted that energy density emitted by a black body increases indefinitely with frequency.
- Planck's Postulate: Atoms absorb/radiate energy in finite quantities proportional to frequency, solving the ultraviolet catastrophe: . is replaced by
Total Radiated Intensity and Wien's Law
- Total radiated intensity of a black body at temperature :
- Units:
- = Boltzmann constant =
- = Planck constant =
- Maximum in the spectral distribution (Wien's Law):
Black Body Radiation Examples
- Molten glass and heated metal emit visible light at high temperatures (“red hot”).
- Cooling objects emit radiation at lower frequencies.
- Cosmic microwave background (2.7°K) is blackbody radiation from the Big Bang.
- Cooler objects emit light at longer wavelengths (infrared).
Solar Emission
- Solar emission approximates a black body at , with .
Properties of Light Sources
- Luminous Efficacy: lumens per electric watt (lm/W).
- Service Life: hours of operation.
- Color Properties: color temperature and Color Rendering Index (CRI).
- Response Time.
- Polarization.
- Spatial and Temporal Coherence.
Types of Thermal Emitters for Lighting
Incandescent Lamps
- Tungsten filament (formerly carbon) in a vacuum or inert gas (argon, krypton, xenon) to reduce filament evaporation. Operated at 2600-3000 K.
- Luminous efficiency: 12-15 lm/W. Maximum radiation in the infrared.
- Service life: approximately 1000 hours. Higher temperatures increase luminous efficiency but shorten service life.
- Evaporation blackens bulb and increases electrical resistance.
- Response time: fractions of a second to work.
- Bulbs made of glass or quartz for high temperatures.
Halogen Lamps
- Tungsten filament with halogen gas (iodides or bromides) to regenerate filament evaporation.
- Service life: 1500 hours.
- Luminous efficiency: 18-22 lm/W.
- Regenerative cycle:
- Chemical reaction of iodide with evaporated tungsten forming tungsten iodide molecules.
- Dissociation of molecules near the hot filament, depositing tungsten.
- Infrared reflective coating for a colder bulb.
Spectrum of Halogen Lamp
- Typical irradiance spectrum of a 100W halogen bulb at approximately 3000 K, showing visible and infrared emissions.
Atomic Structure of Matter
- Chemical element basics.
- Pure substances that cannot be decomposed.
- Characterized by atomic number Z (number of protons).
- Ions have a different number of electrons, isotopes have different numbers of neutrons but the same Z.
- Arranged according to the periodic table.
- May form monoatomic, diatomic, polyatomic molecules or crystal lattices.
- Mass Number A = N + Z
Electronic Configuration
- Electron distribution in atomic orbitals are stationary solutions of the Schrödinger equation.
- Quantum numbers:
- : principal quantum number.
- : azimuthal quantum number. Spherical harmonics,
- .
- Notation:
- is the principal quantum number, is the azimuthal quantum number with magnetic quantum numbers. Each level has 2 electrons possible. is the number of electrons in the orbital.
- Example: indicates 7 electrons in the d orbital at the third level.
- Order of filling atomic orbitals is by energy. Each orbital can hold 2 electrons with spin +1/2 and -1/2.
- Examples:
- Na (Z=11):
- Cd (Z=48):
- Hg (Z=80):
Atomic Excitation and De-excitation
- Discrete energy levels are different for each atom.
- Energy jumps between levels E2 and E1 emit/absorb a photon with frequency f.
Non-Thermal Emitters
- Emission occurs when an atom/molecule decays from a high to a low energy level, emitting a photon with frequency
- Atomic spectra (He, Ne, Hg) result from spontaneous or stimulated emission.
- Spectroscopy analyzes emitted/absorbed radiation by a material.
- Spontaneous emission occurs when an atom in an excited state decays to ground state.
- Stimulated emission occurs in the presence of external radiation of appropriate frequency.
Arc Lamps (Discharge Lamps)
- Electrons are accelerated from cathode to anode, causing gas ionization.
- Decay of gas atoms results in photon emission.
- Low pressure: Sharp spectral lines lead to monochromatic light sources.
- Common gases: hydrogen, sodium, mercury, neon, xenon, argon, cadmium, krypton, etc., or mixtures.
- Low pressure sodium lamps have a yellow centered spectrum and an efficiency of 180 lm/W
- High pressure increases collisions between atoms/molecules and broadens the energy levels. Result is white light.
- Carbon arcs.
- High pressure mercury lamps.
- Powers from 50 W to 25 kW. Sharp spectral lines.
- High pressure sodium lamps.
- White color (2100 K) and high performance, 130 lm/W.
- Xenon lamps.
- Long continuous spectrum, similar to the sun (blackbody at 6000 K).
- Service life: 10,000 hours.
- 200A carbon arc approximates blackbody distribution at 6000 K. Different gases can achieve various spectral distributions.
Mercury-Xenon Lamps and Other Arc Lamps.
- Mercury-xenon lamps show a continuous spectrum and sharp mercury lines.
- Hydrogen and deuterium arc lamps are ideal for spectroscopy in the ultraviolet domain.
Fluorescent Lamps
- Discharge lamps of low pressure and low intensity of mercury vapor or a mixture of argon and mercury.
- Tubes are coated with a fluorescent/luminescent substance that absorbs UV radiation from mercury and emits part of the energy as visible light.
- Light characteristics depend on mercury pressure and temperature.
- Different spectra are obtained by altering the coating (e.g., tungsten and zinc silicate, magnesium silicate).
Fluorescence and Phosphorescence
- Radiation absorption leads to atom/molecule excitation.
- Some energy is lost in non-radiative transitions.
- Radiation emission occurs at smaller frequencies. Phosphorescence has a delay.
Compact Fluorescent Lamps (CFLs)
- CFLs consume about a quarter of the power of incandescent lamps (e.g., 15W CFL equals 60W incandescent).
- Color variations:
- "Warm white" or "soft white" (2700 K - 3000 K) are similar to incandescent lamps, slightly yellowish.
- "White", "bright white" or "white media" (3500 K) are yellowish-white, whiter than incandescent lamps, but still considered warm.
- "Cold white" light (4,100 K) is pure white but a little blue.
- Daylight (5000 K to 6500 K) is bright white, like the sun.
- Slow response: takes more than a second to reach stable emission.
- Service life: approximately 8000 hours.
- Luminous efficiency: 60 lm/W.
Semiconductor Band Structure
Semiconductors
- Material behaves like an insulator at very low temperatures but conducts at room temperature.
- Performance controlled by doping.
- Intrinsic semiconductors: elements with 4 valence electrons (Si, Ge).
- Compound semiconductors: average of 4 e- in valence, made of elements of groups 13/15(GaAs, InSb) or 2/12/16 (ZnSe, CdS).
- Extrinsic semiconductors: Doping:
- n-type: doped with valence 5 elements (free electrons).
- p-type: doped with valence 3 elements (electron holes).
- Direct (forward bias) and reverse polarization.
Photovoltaic Solar Energy
- Based on the reverse biased p-n junction cell with an antireflection coating.
- The best research-cell efficiencies, showing various materials and technologies.
LEDs (Light Emitting Diodes)
- Direct p-n junction. Process is voltage-controlled.
- Recombination of electrons and holes in the depletion zone.
- Semiconductor diodes emit a photon due to recombination.
- Gallium Arsenide(GaAs) = Color Infrared
- Aluminum Gallium Arsenide (AlGaAs) = Infrared
- Gallium Arsenide Phosphide (GaAsP) = Infrared red
- Gallium Nitride (GaN) = Red, organge, yellow
- Gallium Phosphide (GaP) = Green
- Zinc Selenide (ZnSe) = Green
- Indium Gallium Nitride (InGaN) = Blue
- Silicon Carbide (SiC) = Blue
- Diamond = Blue
- Silicon = UV
LEDs for Lightning
- Service life: 50,000 hours.
- Luminous efficiency: Up to 150 lm/W for white LEDs.
- CRI (Color Rendering Index): 80-95. LEDs are efficient but may not emit a balanced mixture of all colors.
LED Spectral Emission
- The emitted light is not monochromatic; spectral bands have widths from several nm to 50 nm.
- Frequency depends on the bandgap between valence and conduction bands, semiconductor, doping, and temperature.
- RGB LEDs can produce white light.
X-Ray Sources
- Non-thermal sources.
- Emit radiation in a wide band of the spectrum due to electron acceleration.
- X-ray tubes generate high-energy electrons (10-50 keV) that collide with a metal target; braking electrons (bremsstrahlung) emit continuous spectrum X-rays.
- Synchrotrons spin particles in closed orbits at relativistic speeds, emitting high-frequency radiation.
- Applications include:
- Medical diagnosis (radiography and CAT scans)
- Crystallography (X-ray diffraction).
- X-rays are ionizing radiation and cause burns/cancer with long exposure.
Principles of the LASER
- Light Amplification by Stimulated Emission of Radiation
Laser Light vs. White Light
| Feature | Laser Light | White Light |
|---|---|---|
| Frequencies | One frequency (narrow spectral emission) | Many frequencies |
| Phase | Same phase (Coherence) | Non-correlated phases |
| Direction | Same output direction (Directionality) | Emission in all directions |
Laser Properties
- Coherence: Same phase.
- Monochromicity: Fixed wavelength , depending on laser type.
- Directionality: Almost straight propagation. Divergence , where d is the beam diameter.
- Pulsed light: Lasers emit continuous wave or pulsed regimes. Pulse durations from 1 ms to 10 fs.
- Emitted Power: From 1 mW to MW (chemical lasers) and up to 1 PW (for short pulsed lasers).
- Examples:
- Sunlight intensity at Earth: 1000 W/m2 = 100 mW/cm2.
- 100W light bulb: 10W emitted as light. 0.02 mW/cm2 at 2m distance.
- He-Ne laser 1mW, section 1mm2. Intensity: 100 mW/cm2.
Basic Laser Elements
- Gain medium (active medium): Transforms pumped energy into light and amplifies it by stimulated emission.
- Optical pumping power: Energy source (electric, laser, chemical).
- Laser Cavity: Determines preferred direction and reinjects light into the gain medium.
- Standing wave forms in the cavity and determines resonant emission frequencies.
- Mirrors:
- Total reflection mirror (R=100%): Reinjects photon to the gain medium.
- Partial reflection mirror (R ≈ 95%): releases a small portion of the stored energy as light.
Laser Principle for Radiation Amplification
- First spontaneous emission: random phase.
- Stimulated emission: all photons are identical (same frequency, direction, and phase = Coherent radiation ).
- Atoms start in are pumped (energized) to an excited energy level.
- This results in a cascade(amplification) of photons.
Einstein coefficients A, B
- Dependence upon Number of atoms in levels i and ii ( N1 and N2) and energy density of radiation with freq \nu
- Einstein Coefficients A21, B12 i B21: B12 = B21
- Absorption rate : dN1/dt = B12N1 u(v)
- Stimulated emission rate: dN2/dt = B21N2 u(v).
- Spontaneous emission rate: dN2/dt =A21N2
Population Inversion
- To obtain intensity amplification, population inversion (N2>N1) is required.
- N1 > N2:
- Intensity decreases.
- Light absorption.
- Absorption > stimulated emission.
- N1 < N2:
- Intensity amplification.
- Absorption < stimulated emission.
Pumping Mechanisms
Electrons usually occupy the lowest energy levels
Needs non- thermal energy to obtain Population inversion- i.e N2 can never reach N1
Pumping occurs using:
- Optical pumping: incoherent or coherent light source
- Collisions: collisions occur with other particles, example :electron or ions
- Chemical pump: Energy comes from a chemical reaction.
Pumping Types:
- Electric discharge: used in gas lasers.
- Electric current: semiconductors.
Not necessary between E1 and E2: Non-radiative transitions
Maxwell- Botzmann distribution:
Laser Cavity and Properties
Laser Cavity Functions
- Increase intensity in gain medium
- Determine temporal and spatial properties of light.
- Select specific frequencies fn (cavity modes)
- Classifications based on number+ shape of mirrors:
- Stimulated emission> spontaneous emission
Resonator Stability
- Stable resonator: beam remains in the system.
- Unstable Resonator: The rays diverge, leaving the cavitiy
- Concave mirrors R>0
- Convex mirrors R<0
Cavity Modes
- The empty cavity modes (𝑓𝑛 ) must fulfill:
- Mode separation:
- Modes have a spectral width , which depends on the fineness of the cavity:
- , n = 1 ,2,3…
Modal Selection
- Improves laser performance.
- Prisms can select longitudinal modes of the cavity.
- Mirror tilt selection of optical path way.
Transverse Beam Structure
- The beam broadens with z while the amplitude decreases.
- The Gaussian mode is common
- Divergence is determined by lambda, amplitude , and the diameter.
- Beam diameter depending on z :
- Rayleigh distance:
- and divergence:
Transverse Laser Structure
- Each longitudinal mode has associated transverse modes.
- Modes have different gains as they do not have one sole structure.
- Symmetry
- Laguerre-Gauss: Cylindrical symmetry
- Hermite-Gauss: Rectangular Symmetry
Temporal Control
- Pulsed Pumping: ~10^-3s
- Q- Switching, Q - Locking: ~10^-9s
- Mode Locking, M - Locking: ~10^-12s
- Chirped pulse amplification: ~10^-15
Mode-Locking
- Locking longitudinal modes gives the interference leads to pulses.
- Shorter pulses with shorted modes.
- Temporal graph and peaks for amplitude and intensity
Chirped Pulse Amplification
- The medium does not give the medium more energy and cavity cannot stand anymore radiation.
- Shooting the pulses outside the cavity laser
Types of Lasers
Gas Lasers
- Common, cheap, easy to cool.
- He-Ne (543 nm and 633 nm).
- Argon (458 nm, 488 nm or 514.5 nm).
- CO2 (9.6 µm and 10.6 µm) up to 100 kW, N2 (337 nm), CO, metal vapor lasers.
Chemical Lasers
- Active medium pumped with energy from chemical reactions.
- oxygen iodide (1,315 nm)
- hydrogen fluoride (2,700-2,900 nm)
- deuterium fluoride (3,800 nm)
Solid State Lasers
- The first laser, Ruby laser, was of this type.
- Nd: YAG (1,064 nm, frequency can be doubled to 532 nm) which can also be doped with erbium, tellurium, holmium.
- Other: Yb: YAG, Yb: KGW, Yb: KYW, Yb: SYS, Yb: BOYS or Yb: CaF2 (around 1,020-1,050 nm). Yb: YAG can reach high powers in ultrashort pulses.
- Ti: sapphire, highly tunable, used in spectroscopy.
- Erbium-doped fiber laser, used in telecommunications.
- Semiconductor lasers use electronic transitions in a semiconductor diode. Laser diodes (between 405 nm and 1,550 nm).
- Applications: CD and DVD players, VECSEL barcode readers, VCSEL external cavity and vertical emission lasers.
Excimer Lasers
- Gas lasers with use molecules in excited states:
- F2 (157 nm)
- ArF (193 nm), KrCl (222 nm)
- KrF (248 nm)
- XeCl (308 nm)
- XeF (351 nm).
Dye Lasers
- Use an organic dye as active medium, highly tunable.
- Examples include 6G rhodamine, fluorescein, coumarin, stilbene, umbelliferone, tetracene or malachite green.
Free Electron Lasers
- electons are deaccelerated electrons, confined by magnetic fields.
Laser Systems for Processing
- Type and their corresponding Quantum and Wall plug efficiency
- CO2 (10.6 \mu m) : Quantum Efficiency 45% ,wall plug 15%
- Solid State Laser (Nd:Yag) (1.06 \mu m) : Quantum Efficiency 40% ,wall plug 4%
- Diode Pumping (1.06 \mu m) : Quantum Efficiency 40% ,wall plug 25%
- Semiconductor (0.75-0.85 \mu m) : Quantum Efficiency 80% ,wall plug 60%
- Fiber Laser (1.8 - 2.7 \mu m) : Quantum Efficiency 100% ,wall plug 50%
- Excimer (0.248 \mu m) : Quantum Efficiency 80% ,wall plug 0.5-5%
- Quantum Efficiency: fraction of absorbed pump photons contributing to population of upper laser level
- Wall plug Efficiency: total electrical-to optical power efficiency, including losses in power supply and cooling system
Historical Overview of Lasers
- Presents a timeline from 1960 (Ruby laser discovery) to 1993 (Gallium nitride laser commercialization).
- Lists laser types, wavelengths, and common applications.
Characteristics of Laser Transitions
- Compares Single Mode to MultiMode transitions
- Details characteristics for various mediums(gas, solid, liquid and plasma).
- Parameters include overall efficiency range ,output energy and pulsed/ CW measure
Gas Lasers
CO2 Lasers
- Gas,Energy levels vibrational and rotational states
- Pumped by electrical discharge. Has configurations regarding the gas cooling system.
- Industrial applications,sking resurfacing due to reasonable laser cost.
### Pulsed UV source: - Tens of ns with around tens of MW(Around 1J of energy for pulse)
- Excimer “Excited dimer”(45 -50kV Pump)
- Energy Levels:ionic bound/ground state
- Applications:nucelar/Eye Srgery
Solid State Lasers (SSL)
- Medium insulating or cristal
- Energy Level: doping or transitions of ions (Neobite, YI, Aluminium)
- Pumping types: titanium saphire
- Applications: Industrial/Research
Fiber Lasers
- Uses fibre core
- Energy Level: electronic energy of doping
- Pump: Diode
- Welding and cutting is increased as it is coupled
Semiconductor Lasers
- Most common: Nd: YAG (rod laser).
- Pumped by Diode (DPSSL)
- High efficiency and power(100- 10kW), and low service life.