
Credit: Michael Theusner/Applied Optics.
Click here to expand this image
A scientific journal has accepted the first photos of a triple (tertiary) rainbow and a quadruple (quaternary) rainbow, both taken in summer 2011 in Germany. And it is likely we will see more photos of triple and quadruple rainbows in the years ahead.
Like many of you reading, I thought triple rainbows – three rainbows arcing through the sky at once – had been seen and photographed many times. An Internet search reveals photos claiming to be triple and even quadruple rainbows – but apparently these images either aren’t real or aren’t true rainbows. According to the Optical Society in Washington D.C. – a scientific society with 16,000 members around the world – there have been only five scientific reports of triple rainbows in 250 years. Some scientists believed triple and quadruple rainbows did not truly exist in nature, but now scientists have their proof.
A new meteorological model provided the scientific underpinnings to find these rare and precious triple and quadruple rainbows. The work is described in a series of papers in a special issue – Issue 28 – of the journal Applied Optics from the Optical Society, published September 30, 2011.
The beautiful image at the top of this post shows the third-order and fourth-order band of the quadruple rainbow. The first two bands of the rainbow are not shown in this image, which was taken by Michael Theusner on June 11, 2011 in Schiffdorf, Germany.
The image below is the first-ever picture of a triple rainbow.

Credit: Michael Grossmann/Applied Optics.
Michael Grossmann took this image on May 15, 2011 in Kampfelbach, Germany. (a) is his raw camera image. (b) shows the third-order rainbow arc, marked by arrows, after contrast expansion and unsharp masking. (The two reference positions A and B are for image orientation.)
We all know about rainbows to some extent, because everyone loves to see one. In our culture, we consider them a symbol of hope and good luck. When sunlight is refracted, or split, then reflected once in droplets of water, you see a single rainbow. When light is reflected twice inside water droplets, you see a double rainbow. Three reflections create a triple rainbow, and four a quadruple rainbow.

Double rainbow in Alaska. The shadow of the photographer's head on the bottom marks the centre of the rainbow circle (antisolar point). Image Credit: Wikimedia Commons
We’ve all seen single or even double rainbows. Why are triple and quadruple rainbows so rare? Sky watchers know that – to see a single or double rainbow – you have to look opposite the sun.
But – to see a triple or quadruple rainbow – you have to look toward the sun. Triple and quadruple rainbows form around the sun, centered on it. They are hard to see because, to see them, you have to look into the sun’s glare. That might explain why only five scientifically knowledgeable observers had described tertiary rainbows during the past 250 years, prior to Michael Grossmann’s first true photo.

Dr. Raymond Lee of the U.S. Naval Academy
Raymond Lee, a professor of meteorology at the U.S. Naval Academy, predicted a year ago how triple rainbows might be found and challenged rainbow chasers to find them. He told Foxnews.com that photographers should hold one hand out at arm’s length, with a thumb over the sun.
Then they should splay their fingers so that the distance between their pinky and thumb is at about a 17 degree angle. Where their pinky stops is where the third and fourth bands should be.
Lee figured this method out by reviewing descriptions of the scientific sightings of triple rainbows, then using a mathematical model – with colleague Philip Laven – to predict what conditions might produce visible triple rainbows. According to a press release by the Optical Society:
First, they needed dark thunderclouds and either a heavy downpour or a rainstorm with nearly uniformly sized droplets. Under these conditions, if the sun broke through the clouds, it could project a tertiary rainbow against the dark clouds nearby. The contrasting colors would make the dim tertiary visible.
When Lee presented his findings at last year’s International Conference on Atmospheric Optics, some scientists argued with him heatedly, saying that triple and quadruple rainbows were a myth, akin to the pot of gold at a raindow’s end.
But now we have the actual photos. According to the Optical Society, the photos underwent only minimal image processing to improve the contrast.
Michael Grossman recalled seeing a double rainbow on the day he snapped his photo of the triple rainbow. When the rain intensified, he said knew he had to turn toward the sun. He said:
It is really exaggerated to say that I saw it, but there seemed to be something.
The pictures he snapped in the rain showed he had captured the triple rainbow. Theusner’s photo – the second-ever of a triple rainbow and first of a quadruple rainbow – came about a month later. Now that the technique for seeing them has been proven, we can expect other sky photograpahers to take up the challenge – and more photos of triple and quadruple rainbows in the years ahead.

A double rainbow clearly showing the dark area between the two bands. This region is known as Alexander's dark band. Image Credit: NASA
To learn more about how triple and quadruple rainbows form, and about the range of rainbows, mistbows, moonbows, halos and other delicate light phenomena of the open air, check out Les Cowley’s Atmospheric Optics , a wonderful website.
Bottom line: Michael Grossman and Michael Theusner have snapped the first-ever scientifically accepted photos of triple (tertiary) rainbows. Theusner also caught a quadruple (quaternary) rainbow on film. The now-historic photos inspired a special issue of the journal Applied Optics from the Optical Society, published September 30, 2011.
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If you have to look TOWARD the sun, then how are these different from sun dogs? I’ve seen and photographed colored sun dogs many times. Or at least I thought they were sun dogs (refractive events from sun interacting with ice crystals in the atmosphere). I’d have to say these look like sun dogs to me.
Hi John, there a multitude of colored patches in the sky, and not all are made by the same process as rainbows. A sundog is associated with what’s called a 22-degree halo. The halo around the sun has a radius of 22 degrees. You can read about all sorts of colored light patches in the sky that are not rainbows, including sundogs, here: http://www.atoptics.co.uk/rainbows/notabow.htm
Triple rainbows are centered on the sun, too, but with a radius of 42.5 degrees. You can read about them here: http://www.atoptics.co.uk/rainbows/ord34.htm
As so often in science, we’re talking about a range of natural phenomena upon which we’ve tried to throw a web of human language. Light phenomena like rainbows and halos, though, actually do fit into neater categories than, say, comets and asteroids. They are made in different ways.
Thanks for visiting!
Deborah
Sun dogs are part of a rainbow. Just the bits at the sides. Sun dogs are in color if you catch them right. It seems to me that they occur when the sun is higher and rainbows when it is lower, but I don’t really know that.
Claudia
Claudia, not so. Sun dogs are part of 22-degree halos – not rainbows. You can read about them here: http://www.atoptics.co.uk/rainbows/notabow.htm
You’ll love the whole website where that link resides, by the way.
Thanks for joining the conversation!
Excellent page! Thanks.
You’re welcome!
Sundogs (parhelia), and a bunch of other phenomena, are caused by ice crystals, not water droplets.
Have a look at the Atmospheric Optics website linked to in this story for a full explanation.
– Paul
Hm, I never knew. I used to see them often when I drove home from work west across the top of Dallas. It must have been the season, because the sky is mostly very clear here (North Texas).
… Rainbows & lots of Sundogs (in Mi) are Pure Beauty ( when we are not being heavily ‘sprayed’ w/ct’s) … & thnx DB for links :) …
Thanks for visiting Zee!
…ps. in S.FL. after a ‘big’rain during a Dressage Show, i happened to catch a Most Brilliant Beautiful , Full Double Rainbow gracing Palm Trees … wowza_
Hello Deborah,
I’ve got a few pictures taken in the Lake District last year of what I always thought to be a triple rainbow. But now I’m a little confused as to what a tertiary rainbow really is. My photos show what looks like 2 separate rainbows with a 3rd arcing through the space between them, But I also have a photo of what looks like 3 individual arcs, the third being quite faint though.
I am willing to email you the photos so you can see what I mean.
Many Thanks
- Chris
Hi Chris! I wouldn’t have the expertise to be able to evaluate your photos in any scientific way. I’d be happy to forward them to the Optical Society, though. I suspect they’re getting a lot of photos since they announced this story!
You can reach me via the Contact button on the top menu bar of this page.
All the best,
Deborah
A day after reading you nice article, I just found more examples of double rainbows at http://www.life.com/gallery/22535/incredible-rainbows-worldwide#index/0
Mehrdad, they are very beautiful images. Thank you!
This is one of the images I shot over our city yesterday evening.
It looks like a double rainbow with a third going a different direction, possibly caused by showers coming from different direction…
( http://www.flickr.com/photos/lotte_hjorth/6291504470/ )