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Physics Fundamentals

Wave
Interference

Place wave sources. Watch interference emerge.
Real superposition physics — 8 levels.

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〰 Wave Physics Game

Wave Interference — Free Online Wave Superposition Physics Game

Wave Interference renders a live 2D interference field in real time — every pixel shows the superposition of your wave sources. Drag sources to reshape the pattern and hit constructive or destructive interference targets across 8 levels of increasing complexity.

The physics behind the game

Wave superposition

y_total = Σ Aᵢ·sin(kᵢrᵢ − ωt + φᵢ)

Every point in space receives contributions from all sources simultaneously. The amplitudes simply add — this is the principle of superposition, valid for all linear waves.

Constructive interference

Δr = nλ (n = 0, 1, 2…)

When two waves arrive with path lengths differing by a whole number of wavelengths, their crests and troughs align — amplitude doubles.

Destructive interference

Δr = (n + ½)λ

When path lengths differ by a half-wavelength, crests meet troughs — the waves cancel. This is the principle behind noise-cancelling headphones.

Standing waves

y = 2A·cos(kx)·sin(ωt)

Two waves of equal frequency travelling in opposite directions create a standing wave — nodes (zero amplitude) and antinodes (maximum amplitude) fixed in space.