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Optics

Rainbow Formation

An optical meteorological phenomenon caused by reflection, refraction, and chromatic dispersion of sunlight inside raindrops.

Governing formula θ_primary ≈ 42° (Red outer, violet inner)
SI unit Degrees (°)

In depth

Sunlight enters a raindrop, refracts, reflects once off the back wall, and refracts out. Differential refraction disperses light into a circular arc centered opposite the Sun at 42°.

Examples in the real world

A bright rainbow arc forming across the sky when sunlight shines through falling rain behind the observer.