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Waves, Oscillations & Acoustics

Constructive & Destructive Interference

The phenomenon where overlapping coherent waves combine to reinforce (constructive) or cancel (destructive) each other's amplitude.

Governing formula Path Diff ΔL = m λ (Constructive), ΔL = (m + ½) λ (Destructive)
SI unit m

In depth

Constructive interference occurs when crest meets crest (in phase), doubling amplitude. Destructive interference occurs when crest meets trough (out of phase), canceling amplitude.

Examples in the real world

Iridescent colors on soap bubbles created by thin-film interference, or acoustic dead spots in uncalibrated auditoriums.