Wave Superposition Lab
Stack sine waves and watch them interfere, beat, and stand still — all built on the wave equation v = f·λ.
This is exact wave superposition — every point is the sum of the component waves, no faked envelopes. Pick a preset or add your own waves, then tune amplitude, wavelength, frequency and phase. Identical in-phase waves double up (constructive), opposite phases cancel (destructive), two close frequencies produce beats, and two opposite-direction waves freeze into a standing wave.
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Presets
System
Components0
Selected wave
Tap a wave chip in the canvas to read its amplitude, wavelength, frequency, period, k, ω and v = f·λ — and adjust it live.
Formulas & sources
y(x,t) = Σ Aᵢsin(kᵢx − ωᵢt + φᵢ)
v = fλ · k = 2π/λ · ω = 2πf
beat = |f₁ − f₂|
node spacing = λ/2