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← Back to MPY301 Course Page · Interactive simulations for wave optics, geometrical optics, quantum optics & laser physics · 📖 Full User Guide & Lab Manual →
Wave Optics · Module 1

Young's Double-Slit Interference

Two coherent slits produce a fringe pattern on a screen. Adjust wavelength, slit separation and screen distance and watch the live fringe pattern and the diffraction envelope that modulates it.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Fringe width β = λD/d = mm
Increasing d (slit separation) squeezes fringes closer together; increasing D (screen distance) spreads them apart. This is the same physics behind Fresnel's biprism and Newton's rings in BAS101 Unit 1.
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Wave Optics · Module 2

Single-, Double- and N-Slit Diffraction

Switch between a single slit, a double slit and a full diffraction grating. Watch how increasing the number of slits N sharpens the principal maxima — the working principle of a spectrometer grating.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Principal maxima: (a+b) sinθ = nλ
Resolving power R = nN ≈ (order n=1)
As N grows from 2 (double slit) toward 12 (mini-grating), notice the principal maxima become sharper and brighter while N−2 faint secondary maxima appear between them — exactly the trend exploited in a real diffraction-grating spectrometer.
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Wave Optics · Module 3

Polarization & Malus's Law

Light passes through a fixed polarizer, then an analyzer whose angle you control. Watch the E-field orientation and the transmitted intensity follow Malus's law, I = I₀cos²θ.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Transmitted intensity I = I₀cos²θ = %
At θ = 0°, transmission is maximum; at θ = 90° (crossed polarizers) transmission drops to zero. This is the working principle behind polarimeters, LCD screens, and the quarter-/half-wave plates used to make circularly and elliptically polarized light in BAS101 Unit 4.
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Wave Optics · Module 4

Dispersion by a Prism

A prism bends different wavelengths by different amounts because refractive index depends on wavelength (normal dispersion: n is higher for blue/violet than for red). Adjust the prism's dispersive power and watch white light spread into a spectrum.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Cauchy's relation n(λ) = A + B/λ² captures normal dispersion: refractive index (and hence the amount of bending) increases as wavelength decreases, so violet bends more than red — this is why a prism, unlike a mirror, separates white light into a rainbow. At steep angles of incidence the internal angle at the second face can exceed the critical angle for the higher-index (violet/blue) end of the spectrum before it does for red — those wavelengths then undergo total internal reflection (TIR) instead of emerging, shown here for visualization only (not something you need to record).
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Wave Optics · Interferometry

🪞 Michelson Interferometer

A beamsplitter divides a laser beam into two arms, each ending in a mirror. Moving mirror M₁ changes the path difference between the arms, and the recombined beams form a circular fringe pattern that expands or collapses at the centre as the mirror moves — the classic length-measurement instrument.

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Why this matters: This exact interferometer design, scaled up to 4-km arms, is how LIGO detected gravitational waves in 2015 — measuring a mirror displacement 10,000× smaller than a proton. The same principle runs everyday precision length gauges and laser-interferometric position sensors in CNC machine tools.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Optical path difference = 2ΔL = nm
Fringe order shift Δm = 2ΔL/λ =
Each time Δm increases by exactly 1, one ring has collapsed into (or emerged from) the centre of the pattern — so counting fringes while moving M₁ a known number of times lets you measure displacement to a fraction of a wavelength. This is the operating principle behind the original Michelson–Morley experiment (BAS101 Unit 1) and modern laser interferometric length/vibration sensors.
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Geometrical Optics · Module 5

Focusing of Light by a Convex Lens

Parallel rays entering a convex lens converge to a focal point. Adjust focal length and aperture (lens diameter) and see both the ray-traced focus and the diffraction-limited minimum spot size a real lens can achieve — geometry alone is never the full story once diffraction is included.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
f-number = f/D =
Diffraction-limited spot radius ≈ 1.22 λf/D = μm
A smaller f-number (larger aperture relative to focal length) focuses light to a smaller, more intense spot — but never to a true mathematical point: diffraction sets an ultimate limit, the Airy-disk radius 1.22λf/D.
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Geometrical Optics · Module 6

Image Formation by a Compound Lens System

Trace rays through two thin lenses in series (as in a microscope or telescope eyepiece pair). Move the object and change each lens's focal length and their separation, and watch the intermediate image from lens 1 become the object for lens 2. Drag the diagram left/right to pan, and use the zoom control if the image falls outside the view.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Image 1 distance v₁ = cm
Object 2 distance u₂ = cm
Final image distance v₂ = cm
Total magnification m = ×
Each stage obeys the thin-lens equation 1/v − 1/u = 1/f. If lens 1's image would form beyond lens 2, that intermediate image acts as a virtual object for lens 2 (u₂ becomes negative in the sign convention used here) — exactly as in a compound microscope's eyepiece stage.
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Particle Nature of Light · Experiment 1

The Photoelectric Effect

Shine light of a chosen frequency and intensity onto a metal plate. Below the threshold frequency, no electrons are ejected — however bright the light. Above threshold, electrons are ejected instantly, with a maximum kinetic energy that depends only on frequency, not intensity.

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Why this matters: This single experiment is why Einstein won the 1921 Nobel Prize — it proved light is quantized. It's also the working principle behind every photodiode, solar cell, camera image sensor and photomultiplier tube you use today.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Photon energy E = hν = eV
Max KE of electron = E − φ = eV
Stopping voltage V₀ = V
Key insight: raising intensity increases the number of ejected electrons (more current) but never their maximum kinetic energy — only raising the frequency above threshold does that. This single fact could not be explained by classical wave theory and was one of Einstein's central pieces of evidence for light quanta (photons).
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Particle Nature of Light · Experiment 2

Compton Scattering

An X-ray photon collides with a free electron like a billiard-ball collision, transferring some momentum and losing energy — its wavelength increases. Change the scattering angle and see the wavelength shift predicted by the Compton formula, direct evidence that photons carry momentum p = h/λ.

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Why this matters: Compton scattering is the dominant way medium-energy X-rays and gamma rays lose energy in tissue — so it directly governs radiation dose calculations in CT scans and radiotherapy, and is the detection principle behind Compton-camera gamma-ray telescopes used in astronomy.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Compton shift Δλ = (h/mec)(1−cosθ) = pm
Scattered wavelength λ' = pm
Δλ = λC(1 − cosθ), where λC = h/(mec) = 2.426 pm (Compton wavelength)
The wavelength shift depends only on the scattering angle, never on the target material or incident intensity — a signature that only makes sense if the photon behaves as a discrete particle with definite energy hν and momentum h/λ, colliding elastically with the electron.
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Particle Nature of Light · Experiment 3

Single-Photon Double-Slit Build-up

Photons are sent through a double slit one at a time. Each one lands as a single, random-looking dot — yet after thousands of individual "particle" arrivals, an interference pattern emerges. This is perhaps the single most direct demonstration of wave–particle duality.

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Why this matters: This is the same single-photon behaviour that underlies quantum key distribution and quantum computing — technologies that rely on individual photons being genuinely indivisible, unpredictable quanta rather than tiny classical particles.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Photons detected: 0
Each dot marks one detected photon at a random position, weighted by the same probability distribution (∝ cos²) that classical wave theory predicts for double-slit intensity. No single photon "knows" about the emerging pattern — the pattern only appears statistically, over many independent detection events.
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Laser Light Concepts

Coherence Length & Coherence Time

Real sources never emit a perfectly single frequency — they have some spectral linewidth Δν. This limits how far apart two points on the wave can be and still interfere with a well-defined phase relationship: the coherence time τc ≈ 1/Δν and coherence length Lc = cτc. Widen the linewidth and watch the interference fringes lose contrast (visibility) at larger path differences.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Coherence time τc ≈
Coherence length Lc = cτc ≈
Fringe visibility at this path difference:
A stabilized laser can stay coherent over metres — enabling holography and precision interferometry. An ordinary lamp loses coherence within a few micrometres, which is why you never see interference fringes from two separate light bulbs.
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Laser Light Concepts

Directionality & Beam Quality

A laser's optical cavity forces emission into a narrow set of directions (a low-divergence beam) — very different from an ordinary lamp, which radiates in all directions. Compare beam spread over distance for a laser vs. a conventional source.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Spot diameter at this distance ≈
A typical He-Ne laser diverges by roughly 1 mrad, spreading to about 10 cm after 100 m — good enough for surveying and alignment. An ordinary bulb (effectively divergence of thousands of mrad, i.e. all directions) would illuminate a hemisphere, not a spot, at the same distance.
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Laser Light Concepts

Monochromaticity & Spectral Purity

Monochromaticity describes how close a source comes to emitting a single wavelength. Compare the emission spectrum of a laser (extremely narrow line) against an LED and a white-light source (broad continuum).

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Why this matters: Spectral purity is what lets optical-fibre communication pack dozens of independent data channels into one fibre (wavelength-division multiplexing) without them bleeding into each other, and it's the property that makes atomic clocks and laser-cooling experiments possible.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Spectral purity Δλ/λ ≈
Spectral purity (a small Δλ/λ) matters directly for spectroscopy resolution, for holography (coherence length depends on it), and for wavelength-division multiplexing in fibre-optic communication, where channels must not overlap.
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Laser Light Concepts

Making a Hologram

A hologram records the interference between light scattered off an object and a coherent reference beam, capturing both amplitude and phase. Step through the recording and reconstruction stages below.

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Why this matters: The same recording principle you're stepping through here protects the holograms on banknotes, passports and credit cards against counterfeiting, and is the basis of emerging holographic 3-D displays and high-density holographic data storage.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Select a stage above to see how a hologram is recorded and reconstructed.
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Explore

Red → Ultraviolet: What Changes as Frequency Increases?

Slide from deep red (near-infrared boundary) through the visible spectrum into the ultraviolet, and see how colour, photon energy, and physical hazard all change together — higher frequency light carries more energetic (and more dangerous) photons.

📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Region:
Frequency ν = c/λ = THz
Photon energy E = hν = eV
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Essential Reading Before Any Real Laser Experiment

Laser Safety, Precautions & Potential Harm

Every experiment in BAS101, MPY301, BAS151 and MPY351 that involves a real laser (Newton's rings/biprism with laser sources, He-Ne alignment, Ruby/Nd:YAG demonstrations, laser diffraction) carries real hazards. This section is not optional reading — review it before touching any laser apparatus in the lab.

📖 Full theory, formulas & procedure for this in the User Guide →
⚠️ Never look directly into a laser beam or its specular reflection — even a low-power laser pointer can cause permanent retinal damage before your blink reflex can protect you.

Laser Hazard Classes (IEC 60825-1)

ClassTypical powerHazard levelExamples
Class 1< 0.4 mW (visible, CW)Safe under normal use; no known biological hazardLaser printers, CD/DVD/Blu-ray players (enclosed)
Class 1MVariesSafe unless viewed with magnifying optics (binoculars, telescopes)Fibre-communication test sources
Class 2< 1 mW (visible)Blink reflex (~0.25 s) normally protects the eye — do not stare deliberatelyBasic laser pointers, barcode scanners
Class 3R1–5 mWLow risk but direct beam viewing should be avoidedSome laser pointers, alignment lasers
Class 3B5–500 mWHazardous to the eye from direct beam and specular reflections; diffuse reflection usually safeTypical teaching He-Ne and diode lasers used in BAS101/MPY301/BAS151/MPY351 experiments
Class 4> 500 mWHazardous to eye and skin from direct, specular AND diffuse reflections; fire and ignition riskNd:YAG/Ruby/CO₂ industrial and research lasers (MPY301 Unit 5 processing lasers)
Most laser sets used in undergraduate/postgraduate optics labs (low-power He-Ne, laser diode modules) are Class 2 or 3R/3B — still capable of permanent eye damage from direct or reflected beam exposure, so full precautions apply regardless of the modest power involved.

👁️ Eye Injury

The eye focuses laser light onto the retina exactly as it focuses any other light — but a coherent, collimated beam concentrates enormous power density onto a tiny retinal spot. Possible outcomes include permanent blind spots (retinal burns/scotomas), retinal haemorrhage, and — for UV/IR lasers — corneal or lens damage, since these wavelengths are absorbed before reaching the retina at all. Damage from a visible Class 3B/4 beam can occur in a fraction of a second, faster than the natural blink reflex.

🔥 Skin & Tissue Burns

Class 4 beams (and even some Class 3B beams focused to a point) can burn skin, ignite clothing, paper, or solvent vapours, and damage optical components not rated for the beam's power. Reflected beams from jewellery, watches or metallic tools are a commonly overlooked hazard.

⚡ Electrical Hazards

Gas lasers (He-Ne, Ar-ion) and flashlamp-pumped solid-state lasers (Ruby) use high-voltage power supplies (kilovolts) to strike the discharge or fire the flashlamp. Capacitor banks in pulsed systems can retain a lethal charge even after the supply is switched off.

🧪 Chemical / Fume Hazards

Dye lasers use organic dyes dissolved in solvents that may be toxic, flammable or carcinogenic; some excimer lasers use toxic or corrosive gases (e.g. fluorine-based mixtures) that require proper gas handling and ventilation.

✅ Mandatory Precautions Before & During a Laser Experiment

  • Wear correctly rated laser safety goggles — matched to the laser's wavelength and power, not generic sunglasses or safety glasses. Verify the optical density (OD) rating covers your specific laser.
  • Never place your eye at beam height. Keep the beam path at chest level or below whenever possible, and always know exactly where the beam and its reflections are travelling.
  • Remove reflective objects — wristwatches, rings, metallic pens, ID cards — from the beam path before aligning any optics.
  • Enclose or terminate the beam path with a non-reflective beam block/dump at the end of its travel so it cannot escape into occupied space.
  • Work in a well-lit room when practical — dark rooms encourage the pupil to dilate, increasing the amount of light entering the eye if an accidental exposure occurs. (Some alignment tasks genuinely require dim light — in that case, keep exposure time and direct viewing to an absolute minimum and rely on beam viewing cards, not the naked eye.)
  • Never look into the beam to "check if it's on". Use a beam card, IR viewer, or power meter instead — never your eye, and never a co-worker's eye.
  • Align at reduced power first wherever the laser/power supply allows, then increase to working power only once the beam path is fully controlled and enclosed.
  • Post a warning sign ("LASER IN USE — DO NOT ENTER") and, for Class 3B/4 systems, use an interlocked door or curtain so nobody can walk into the beam path unexpectedly.
  • Know your laser's class and maximum permissible exposure (MPE) before starting; this information is on the manufacturer's label and safety datasheet.
  • Never defeat safety interlocks on laser housings, and never attempt to service the internal high-voltage power supply or flashlamp circuitry without qualified supervision — stored charge can be lethal even with the unit "off".
  • Keep flammable solvents, papers, and gas cylinders away from the direct beam path of any Class 4 laser used for materials-processing demonstrations.
  • Report every incident — even a suspected brief exposure — to the lab in-charge immediately; retinal injury is not always immediately painful or obvious.

🚫 Common Mistakes That Lead to Injury

  • Looking along the beam axis "to see if it's aligned" instead of using a card or viewer.
  • Assuming a "low-power" laser pointer or diode module is harmless — many exceed Class 2 limits and can still injure the retina with sustained or repeated exposure.
  • Leaning over the optical table so the eye is at beam height while adjusting mirrors or lenses.
  • Wearing sunglasses instead of laser-rated goggles — sunglasses provide essentially zero protection against the specific, narrow-band wavelength a laser emits.
  • Not accounting for specular reflections from lens mounts, mirror edges, or metal tools left on the table.
  • Running a Class 3B/4 beam through an open door or window into a corridor or another room.
Bottom line: the coherence and directionality that make laser light so scientifically useful (Sections "Coherence" and "Directionality" in this lab) are exactly the properties that make it uniquely dangerous to eyes and skin compared with ordinary light of the same total power. Respect every laser as a genuine hazard, regardless of its apparent brightness to the naked eye.
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Industrial Workshop 1 of 7

🕳️ Laser Drilling

Operate a pulsed Nd:YAG drilling station and produce a precision hole to specification.

📖 Full theory, formulas & procedure for this in the User Guide →
Workshop Brief

Drill a precision blind hole in a 2 mm stainless-steel sheet using a pulsed Nd:YAG laser. Aim for a clean, round hole with minimal heat-affected zone (HAZ) — too little energy leaves the hole incomplete; too much energy or too many pulses widens the HAZ and distorts the hole.

Target Ø 0.5 mmTarget depth 2.0 mm Material: SS304Minimal HAZ
0%Precision
Adjust the parameters above.
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Industrial Workshop 2 of 7

✂️ Laser Cutting

Operate a CO₂ laser cutting station with oxygen assist gas to produce a clean, dross-free cut.

📖 Full theory, formulas & procedure for this in the User Guide →
Workshop Brief

Cut a 5 mm mild-steel plate with a CO₂ laser using oxygen assist gas. Aim for a narrow, smooth kerf with no dross (re-solidified molten metal) adhering to the bottom edge.

Material: Mild steel, 5 mmAssist gas: O₂ Dross-free edge
0%Precision
Adjust the parameters above.
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Industrial Workshop 3 of 7

🔗 Laser Welding

Join two aluminium sheets with a fibre laser, achieving full penetration with no porosity.

📖 Full theory, formulas & procedure for this in the User Guide →
Workshop Brief

Weld two 2 mm aluminium sheets edge-to-edge using a fibre laser. Aim for full-depth penetration with a smooth bead and no gas-porosity voids trapped in the weld.

Material: Al 2mm + 2mmFull penetration Zero porosity
0%Precision
Adjust the parameters above.
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Industrial Workshop 4 of 7

🧪 Laser Surface Alloying

Melt a Cr-Ni powder layer into a steel substrate to create a corrosion-resistant surface alloy.

📖 Full theory, formulas & procedure for this in the User Guide →
Workshop Brief

Alloy a thin Cr-Ni powder layer onto a mild-steel substrate, producing a uniform, well-mixed surface layer roughly 0.5 mm deep — patchy melting leaves an uneven, poorly bonded surface.

Powder: Cr-Ni blendTarget depth 0.5 mm Uniform mixing
0%Precision
Adjust the parameters above.
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Industrial Workshop 5 of 7

🧵 Laser Chemical Vapour Deposition (LCVD)

Deposit a uniform tungsten thin film by decomposing a precursor gas with a focused laser beam.

📖 Full theory, formulas & procedure for this in the User Guide →
Workshop Brief

Decompose WF₆ precursor gas with a focused laser to deposit a ~200 nm tungsten film on a substrate. Aim for a uniform thickness across the scanned area — too little power/gas starves growth, too much causes uneven, over-thick deposits.

Precursor: WF₆Target: 200 nm, uniform
0%Precision
Adjust the parameters above.
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Industrial Workshop 6 of 7

⚙️ Laser Hardening & Annealing

Surface-harden a steel gear tooth to a target case depth without melting the surface.

📖 Full theory, formulas & procedure for this in the User Guide →
Workshop Brief

Harden the surface of a steel gear tooth to a case depth of about 0.8 mm using rapid self-quenching laser heating. Stay above the austenitizing temperature but below the melting point — melting ruins the surface finish, and insufficient heating leaves the case too shallow.

Target case depth 0.8 mmNo surface melting
0%Precision
Adjust the parameters above.
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Industrial Workshop 7 of 7

📡 LIDAR Ranging

Measure the distance to an unknown target using laser time-of-flight — read the echo, set your detection threshold, and estimate the range.

📖 Full theory, formulas & procedure for this in the User Guide →
Workshop Brief

A pulse is fired at an unknown target and its echo is captured on the oscilloscope trace below. Move the measurement cursor onto the centre of the returned echo and set a sensible detection threshold above the noise floor, then read off the corresponding distance.

Estimate the true target distanceAvoid false triggers from noise
Your estimated distance: — m
0%Precision
Adjust the cursor and threshold above.
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Practical Applications · Experiment 16

Laser Doppler Vibrometry

A laser beam reflected from a vibrating surface is Doppler-shifted in frequency by an amount proportional to the surface's instantaneous velocity. Mixing the reflected beam with a reference beam (heterodyne detection) recovers that velocity without ever touching the surface.

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Why this matters: This is the working principle of commercial Laser Doppler Vibrometers (LDV) used for non-contact vibration testing of turbine blades, aircraft panels, MEMS devices, violin soundboards, and bridges — anywhere touching the surface with a sensor would change the very vibration you're trying to measure.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Peak surface velocity vmax = Aω = mm/s
Peak Doppler shift fD,max = 2vmaxcosθ/λ = kHz
Instantaneous Doppler shift = kHz
Key insight: the Doppler shift oscillates at exactly the vibration frequency, but its peak value scales with both the vibration amplitude and frequency (vmax=Aω). A tiny, fast vibration can produce the same peak Doppler shift as a larger, slower one — the instrument measures velocity, not displacement, directly.
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Practical Applications · Experiment 17

Optical Fiber — Numerical Aperture & Attenuation

Light launched into an optical fiber's core is trapped by total internal reflection only if it enters within a cone defined by the fiber's Numerical Aperture (NA). Meanwhile, the signal power decays exponentially with distance travelled, characterized by the fiber's attenuation coefficient.

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Why this matters: Every internet, phone and cable-TV signal that travels any real distance today runs through optical fiber. NA determines how much light a fiber can collect from a source, and attenuation determines how far a signal can travel before it needs a repeater/amplifier — the two numbers that dominate fiber-optic network design.
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Numerical Aperture, NA = √(n1²−n2²) =
Acceptance angle, θa = sin&supminus;¹(NA) = °
Output power (1 mW input) = µW
Key insight: raising the core-cladding index contrast widens the acceptance cone (easier to launch light in) but, in a real multimode fiber, also worsens modal dispersion — fiber design is always this trade-off between light-gathering power and signal distortion over distance.
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Practical Applications · Experiment 18

Laser Speckle Metrology — Non-Contact Surface Roughness

When coherent laser light scatters off a surface whose height variations are comparable to or larger than the wavelength, the scattered wavelets interfere randomly and produce a grainy "speckle" pattern. The statistics of that pattern — its grain size and contrast — encode the surface's roughness.

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Why this matters: Industrial laser speckle profilometers use exactly this effect to grade the surface finish of machined parts, semiconductor wafers and rolled sheet metal in real time on a production line, without ever touching the part (which contact stylus profilometers must do, risking scratches on delicate surfaces).
📖 Full theory, formulas & procedure for this in the User Guide → 📝 Open Lab Record & Viva-Voce Booklet (PDF) →
Speckle grain size, s = 1.22λz/D = µm
Speckle contrast (0–1) =
Surface regime =
Key insight: speckle contrast rises sharply once the roughness σ approaches λ/4 or more — below that, the surface acts almost like a mirror (specular, low-contrast); a speckle-based instrument therefore reports low contrast for polished parts and high contrast for rough, machined ones, with no physical contact.
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Certificate of Achievement

Advanced Laser & Optics Learning Lab · Industrial Applications Workshop Series
This certifies that
Student Name
has successfully completed the Workshop with a precision score of 0%, demonstrating competent, safe handling of the process parameters involved.
Dr. S. K. Jain
Associate Professor in Physics, Department of Applied Sciences and Humanities, Invertis University, Bareilly, India
Lab Professor
 
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