한국어로 읽기 The 42° Rainbow

All scenes › Chapter 4 Why is a rainbow round?

Seen from the sky

With no ground in the way, a full circle

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A rainbow is really a circle

Go high enough that the ground is no longer in the way, and you can see a rainbow that continues all the way around into a full circle. People sometimes see one from an airplane window or a mountaintop. The center of the circle is always the shadow point. From a plane, you may even see the plane’s shadow sitting right there.

Why?A rainbow is round because of the cone. Look along a cone from its tip and its rim is a circle. On the ground, the ground simply hides the bottom of that circle.

Learn moreEven in a backyard, if you spray a hose with the Sun at your back and the spray spreads wide in front of and below you, you can see a rainbow that is nearly a full circle.

Width of a full-circle rainbow (angle)
84°

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

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Wikipedia: Rainbow

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.