#RAINDROP IMAGES HOW TO#
How to carry out this evaluation also has an interesting history. But for practical purposes Airy's theory is sufficient.Īiry's theory requires numerical evaluation of an improper integral named after him. The description of the rainbow that Maxwell's theory produces is in some extreme cases quite different from the one produced by the wave theory. This theory was superseded in turn by the electromagnetic theory of Maxwell. The correct application of Fresnel's theory to rainbows is due to the English mathematician George Biddell Airy, writing about 1840. The correct explanation of these bands depends on the wave theory of light developed in the early nineteenth century, primarily by Auguste Fresnel. It and all images derived from it in this article are distributed under the Creative Commons Share-Alike license. This remarkable photograph is Double-alaskan-rainbow.jpg from the Wikipedia Commons. But if you look carefully at the rainbow in this picture, just underneath its arch, you will see bands that this familiar theory does not explain.
The theory of the rainbow that everyone learns in high school physics classes is pretty much the one that René Descartes came up with almost 400 years ago. University of British Columbia, Vancouver, Canada If you look carefully on the inside of the principal violet arc you will frequently see several pale violet arcs, interspersed with some paler greenish bands. The Mathematics of Rainbows Posted February 2009.
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