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Wave Superposition Visualizer

• Dispersion mode (speed ∝ √λ)
Educational notes (click to expand)
Default
Single traveling sine wave you can modify freely.
Constructive interference
When crests (or troughs) align, the summed displacement increases; height ≈ sum of the individual heights.
Destructive interference
Equal-amplitude waves 180° out of phase cancel (crest + trough → near-zero net displacement).
Standing wave
Two equal waves traveling in opposite directions create nodes (no motion) and antinodes (max motion).
Spring–neap (beats)
Slightly different wavelengths (or frequencies) produce a slow amplitude envelope: alternating “spring” and “neap”.
Wave Sets
A narrow band of wavelengths forms a moving envelope (group). Crests move through the envelope (phase speed) while the envelope itself moves at a different group speed.
Dispersion
Deep water: phase speed increases with wavelength. Here speed is constrained: speed ∝ √λ (adjusting λ updates speed).