🌊 Thomas Young · 1801 · Wave Optics

Young's Double Slit
Experiment

Adjust slit separation, wavelength, and screen distance in real time. Watch coherent wavefronts interfere and paint bright and dark fringes — exactly as Thomas Young proved the wave nature of light in 1801.

🌊 Wave Interference
📐 FYUGP Physics
📊 Live Intensity Graph
🎛️ Real-time Controls
🔬 Huygens Wavefronts
1 · Wavefronts
2 · Interference
3 · Fringes
4 · Intensity Plot
⚡ Coherent Source
▐ Double Slit
Screen →
Fringe Width β
mm
Path Diff. (n=1)
nm
Wavelength λ
nm
Visible Fringes
Experiment Parameters
Wavelength λ 550 nm
Slit Separation d 0.25 mm
Slit Width a 0.05 mm
Screen Distance D 1.00 m
Wave Speed Normal
Quick Presets
Live Intensity Distribution I(y)
What You're Observing
Bright Fringes (Maxima)

When wavefronts from the two slits arrive in phase, they reinforce each other — constructive interference. The path difference is an integer multiple of the wavelength.

Δ = d·sinθ = nλ    (n = 0, ±1, ±2…)

Position of nth bright fringe:
yn = nλD/d

🌑
Dark Fringes (Minima)

When wavefronts arrive exactly out of phase (half-wavelength path difference extra), they cancel completely — destructive interference. Zero intensity at these points.

Δ = d·sinθ = (n + ½)λ

Position of nth dark fringe:
yn = (2n+1)λD/2d

📏
Fringe Width β

The distance between two consecutive bright (or dark) fringes is constant and called the fringe width β. It increases with wavelength and screen distance, and decreases with slit separation.

β = λD / d

All fringes are equally spaced. The central maximum is the brightest.

📉
Single Slit Envelope

The overall intensity is also modulated by single-slit diffraction from each slit. Fringes near the edges get weaker and eventually vanish where the single-slit pattern has its minima.

Envelope: sinc²(πa·sinθ/λ)

Narrower slits → wider envelope → more visible fringes.

📚 Physics Notes — FYUGP Examination Ready

All key concepts, conditions, and formulae you need.

The Experiment Setup

  • Coherent monochromatic light source S
  • Two narrow slits S₁ and S₂ separated by d
  • Screen at distance D from the slits
  • Slits act as two coherent secondary sources (Huygens)
  • Interference observed between D and d apart

Key Formulae

β = λD / d
y_n = nλD / d (bright)
y_n = (2n−1)λD / 2d (dark)

Path diff.: Δ = d·y/D for small angles

Conditions for Sustained Interference

  • Sources must be coherent (same frequency and constant phase difference)
  • Sources must be monochromatic
  • Amplitudes should be comparable
  • Slits must be narrow (comparable to λ)
  • Small separation d compared to D

Effect of Changing Variables

  • ↑ λ → ↑ β (wider fringes, redder light)
  • ↑ D → ↑ β (farther screen, wider fringes)
  • ↑ d → ↓ β (closer slits, narrower fringes)
  • ↑ a → narrower diffraction envelope
  • Immerse in medium n → β reduces to β/n

Intensity Distribution

I = I₀ cos²(δ/2) · sinc²(β/2)

where δ = 2πd sinθ/λ is the phase difference between the two slits, and β = 2πa sinθ/λ is the single-slit phase parameter. Maximum intensity is 4I₀ at constructive interference.

Coherence

Young used a single source S with two holes S₁, S₂ to ensure coherence — the two secondary sources always have the same frequency and a constant phase difference. Modern experiments use a laser beam directly on two slits. The coherence length must exceed the path difference for fringes to form.

Missing Orders

When d/a is an integer, some interference maxima coincide with diffraction minima and disappear — these are called missing orders. For example, if d = 2a, the 2nd, 4th, 6th… orders are missing from the pattern.

Missing order: n = d/a × m

Historical Significance

Thomas Young (1801) performed this experiment to settle the Newton vs Huygens debate on the nature of light. The clear interference pattern could only be explained by the wave theory. Einstein's 1905 photon theory later showed light is also a particle — wave-particle duality. Even single photons fired one at a time build up the same fringe pattern (quantum interference).

📜 Historical Timeline
1678
Huygens' Wave Theory

Christiaan Huygens proposes that light travels as a wave. Each point on a wavefront acts as a new source of secondary spherical waves — the principle used in this experiment.

1704
Newton's Corpuscular Theory

Isaac Newton argues light is made of particles ("corpuscles"). His enormous authority suppresses the wave theory for nearly a century.

1801
Young's Double Slit Experiment

Thomas Young demonstrates interference of light through two slits, producing alternating bright and dark fringes. This is definitive proof of the wave nature of light and ends the corpuscular theory debate.

1864
Maxwell's Electromagnetic Theory

James Clerk Maxwell proves light is an electromagnetic wave with his equations, providing the theoretical underpinning for Young's result.

1905
Einstein's Photon — Wave-Particle Duality

Einstein explains the photoelectric effect using photons — light quanta. Combined with Young's wave experiment, this established wave-particle duality: light is both wave and particle.

1927
Quantum Double Slit

Davisson and Germer show electrons also produce interference patterns — matter waves. The double slit experiment becomes the central thought-experiment of quantum mechanics.