한국어로 읽기 The 42° Rainbow

All scenes › Chapter 1 Light meets water

One raindrop

Zooming in on one drop among many

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One raindrop, up close

We have zoomed in on one of the countless raindrops in the sky. A raindrop is a tiny ball, usually around 1 to 2 mm across. A single ray of white sunlight is about to hit the upper part of this drop. Let’s follow the path this light takes inside the drop.

Why?The surface of water pulls itself tight, so a small drop becomes an almost perfect ball. Very large raindrops flatten a little on the bottom as they fall, but treating a drop as a ball is good enough to understand rainbows.

Learn moreWhen drops are very small (about 0.05 mm or less, like the droplets in fog), the wave nature of light smears the colors together and the rainbow turns almost white. This is called a fogbow.

Raindrop width (example)
about 2 mm

calculated from the refractive index of water (IAPWS, 20 °C) and the laws of refraction and reflection

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Wikipedia: Fog bow

More in the series

The numbers come from the refractive index formula for water (IAPWS 1997) and the laws of refraction (Snell) and reflection (Fresnel). In the 3D view, the raindrop and the spreading of colors inside it are drawn larger so you can see them.