A SMALL EXPERIMENT IN WONDER
Fogbow simulator: a rainbow in tiny droplets
Explore a pale fogbow with the Morning fog preset. Adjust tiny droplet sizes to see how rainbow colours broaden and overlap.
Drag the picture to place the rainbow. You can also focus the picture and use the arrow keys.
A playful overlay. Move the horizon to hide the effect below it; trees and buildings above the line aren’t detected.
A LITTLE SOMETHING TO NOTICE
Primary and secondary rainbows
The second rainbow comes from light reflecting twice inside a drop. That extra bounce reverses its colours—and leaves it a little fainter.
Try this rainbow experiment
A fogbow is a broad, pale relative of a rainbow. It forms when sunlight meets tiny water droplets in fog or mist. These droplets spread the light over a wider range of angles than ordinary raindrops. The coloured bands overlap strongly, leaving a bow that can look nearly white, sometimes with faint colour around its edges.
The Morning fog preset starts at a mean droplet diameter of 0.035 mm and a low Sun. Move Droplet size slowly towards Big raindrops to compare this pale arc with a more colourful shower rainbow. Leave the other controls alone for the first comparison so that you can connect the changing width to droplet size.
Then try Size variation. This slider describes the spread of sizes around the mean. A collection of nearly equal droplets can preserve more wave structure; a wider mixture blends the patterns. Rain in the air changes the brightness of the effect here, rather than measuring a real fog density or rainfall rate. Lowering it to zero removes the scattering contribution.
Look away from the Sun to find a real fogbow, with illuminated mist ahead of you. In this scene the Sun stays behind the viewer. The Airy approximation captures a useful broadening trend, but tiny fog droplets and multiple scattering need more complete calculations for accurate predictions. The foggy background is an illustration, and this experiment is a way to compare ideas rather than a weather forecast.
FOLLOW THE LIGHT
How rainbows form: experiments to try
Sunlight bends as it enters and leaves a water droplet, and reflects inside it. Different colours bend by different amounts. One internal reflection produces the primary rainbow; two produce the fainter secondary with reversed colours. Light waves also interfere, creating fine extra bands when conditions are right.
For teachers: suggested for grades 5-8, with a 10-minute activity. Predict what will happen when the Sun rises, then test it. Compare two droplet sizes while holding other settings fixed, and describe how the bands change. Finish by explaining the reversed colours of the second bow. Use Share this sky to save the settings or copy an embed for your lesson page.
Rainbow simulator questions
Why is a rainbow about 42 degrees from the antisolar point?
Refraction and one internal reflection concentrate sunlight near a particular outgoing angle. The primary bow lies roughly 40-42 degrees from the direction opposite the Sun, depending on colour. The angle describes the bow's radius, not the Sun?s height.
Why does the rainbow disappear when the Sun is high?
As the Sun rises, the antisolar point sinks below the horizon. Above about 42 degrees of solar elevation, the primary bow falls below a level ground horizon. The larger secondary may remain visible until roughly 51-53 degrees. From above the rain, an observer can see parts of a bow below their horizon.
Why are the colours of the second rainbow reversed?
The secondary rainbow comes from two internal reflections in each drop instead of one. This changes the outgoing directions, reversing the colour order: red lies on the inner edge of the secondary and the outer edge of the primary.
What makes a fogbow look white?
Tiny fog droplets spread the light over a wider range of angles. The colours overlap strongly, making a broad, pale bow with possible faint colour at its edges. Choose Morning fog to explore this approximate effect.
What are supernumerary rainbows?
Supernumeraries are fine extra bands caused by interference between light waves taking different paths through droplets. They are easiest to see when drops have similar sizes. Choose Extra bands, then increase Size variation to see the fringes soften.
Does raindrop size change a rainbow?
Yes. Smaller droplets broaden the bow and its wave features; larger spherical drops make narrower, more closely spaced features. A mixture of drop sizes smooths fine bands. This model approximates spherical drops, so very small fog droplets and large flattened raindrops have limits.