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Home → Features → Natural Sciences → Climate and Weather → Weather and atmosphere

How are rainbows made? The colorful physics behind

Mihai AndreibyMihai Andrei
May 27, 2008 - Updated on August 8, 2023
in Weather and atmosphere
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rainbow
Credit: Wikimedia Commons.

What are Rainbows?

Rainbows are some of the most spectacular phenomena in nature; they’ve fascinated and stimulated our imagination since the dawn of mankind, and continue to do so to this day. There are all sorts of legends surrounding them, from the treasure at the end of the rainbow to the house of gods for which the rainbow is a bridge, but the scientific facts are different.

For many people, rainbows remain a mystery. Here’s what the science says:

Rainbows are optical and meteorological phenomena that cause a spectrum of light to appear in the sky (mostly) when the Sun shines upon drops of moisture in our planet’s atmosphere. As the rays of light pass through the droplets of water, these droplets behave as a prism, splitting the so-called white light into different wavelengths.

These rays take the form of a multicolored bow, with 7 colors: red, orange, yellow, green, blue, indigo, and violet.

There are some interesting mnemonics to remember the order of these colors, such as “Roy G. Biv” and “Richard Of York Gave Battle In Vain”. The thing is that these colors are not separated, as is traditionally believed. In fact, the rainbow spans a continuous spectrum of colors.

rainbow

How do rainbows form?

Rainbows form through the dispersion of sunlight. Dispersion causes the spatial separation of white light into components of different wavelengths (different colors). The light is first refracted as it enters the surface of the raindrop, reflected off the back of the drop, and again refracted as it leaves the drop. The angle is independent of the size of the drop but does depend on its refractive index – because different wavelengths have a different refractive index, they come out at a slightly different angle. This is visible to the naked eye by a misalignment of these bows.

prism
Example of a prism. Image via Wikipedia.

A rainbow doesn’t exist at a particular location in the sky. It’s just an optical illusion. The position of a rainbow in the sky is always in the opposite direction of the Sun with respect to the observer, and the interior is always slightly brighter than the exterior.

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These effects are due to the fact that despite the fact that all raindrops reflect sunlight the same, only some of them can be seen by the viewer’s eye.

Also, did you know that there’s such a thing as a moonbow? As the name states, it’s created by the moon instead of the sun. It is difficult to discern colors in a moonbow because the light is usually too faint to excite the cone color receptors in our eyes. As a result, they often appear to be white. Catch a glimpse below:

moon rainbow

Different types of rainbows

Now that we know how rainbows form, you should also know that there are more types of rainbows besides the classical “upside-down smile” rainbows.

Secondary rainbows

Secondary rainbows are caused by a double reflection of sunlight inside the raindrops and appear 10° outside of the primary rainbow. This can be repeated several times and you could end up with multiple rainbows, though they almost never go past secondary.

Twinned rainbows

Twinned rainbows are very rare, appearing like two rainbows that split from a single base. The rainbows exhibit the same colors in the same order, not reversed, and this is where the clue to their existence lies. The cause of a twinned rainbow is the combination of different sizes of water drops falling from the sky. Due to air resistance, raindrops flatten as they fall, and flattening is more prominent in larger water drops. When two rain showers with different-sized raindrops combine, they each produce slightly different rainbows which may combine and form a twinned rainbow

Image via Live Science.

Supernumerary rainbow

These are another type of rare rainbows, forming on the inner side of the primary rainbow, and very rarely also outside the secondary rainbow. Supernumerary rainbows are slightly detached. They are formed as a result of interference between rays of light following slightly different paths with slightly varying lengths within the raindrops. Basically, some of the rays are in phase, but others are out of phase by up to half a wavelength, cancelling each other out through destructive interference, and creating a gap. Supernumerary rainbows are clearest when raindrops are small and of uniform size.

Image via Wiki Commons.

There are also Moonbows (created with light reflected from the Moon, not coming directly from the Sun), cloud rainbows (rainbows visible on clouds), monochromatic rainbows (with a single color) and full circle rainbows.

The only other body from our solar system thought to have rainbows is Titan, Saturn’s Moon.

Tags: rainbowScience

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Mihai Andrei

Mihai Andrei

Dr. Andrei Mihai is a geophysicist and founder of ZME Science. He has a Ph.D. in geophysics and archaeology and has completed courses from prestigious universities (with programs ranging from climate and astronomy to chemistry and geology). He is passionate about making research more accessible to everyone and communicating news and features to a broad audience.

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