all about rainbow

What is a rainbow?

Author Donald Ahrens in his text Meteorology Today describes a rainbow as "one of the most spectacular light shows observed on earth". Indeed the traditional rainbow is sunlight spread out into its spectrum of colors and diverted to the eye of the observer by water droplets. The "bow" part of the word describes the fact that the rainbow is a group of nearly circular arcs of color all having a common center.

Where is the sun when you see a rainbow?

This is a good question to start thinking about the physical process that gives rise to a rainbow. Most people have never noticed that the sun is always behind you when you face a rainbow, and that the center of the circular arc of the rainbow is in the direction opposite to that of the sun. The rain, of course, is in the direction of the rainbow.

What makes the colors in the rainbow?

The traditional description of the rainbow is that it is made up of seven colors - red, orange, yellow, green, blue, indigo, and violet. Actually, the rainbow is a whole continuum of colors from red to violet and even beyond the colors that the eye can see.
The colors of the rainbow arise from two basic facts:
Sunlight is made up of the whole range of colors that the eye can detect. The range of sunlight colors, when combined, looks white to the eye. This property of sunlight was first demonstrated by Sir Isaac Newton in 1666.
Light of different colors is refracted by different amounts when it passes from one medium (air, for example) into another (water or glass, for example). Descartes and Willebrord Snell had determined how a ray of light is bent, or refracted, as it traverses regions of different densities, such as air and water. When the light paths through a raindrop are traced for red and blue light, one finds that the angle of deviation is different for the two colors because blue light is bent or refracted more than is the red light.

This implies that when we see a rainbow and its band of colors we are looking at light refracted and reflected from different raindrops, some viewed at an angle of 42 degrees; some, at an angle of 40 degrees, and some in between. This is illustrated in this drawing, adapted from Johnson's Physical Meteorology. This rainbow of two colors would have a width of almost 2 degrees (about four times larger than the angular size as the full moon). Note that even though blue light is refracted more than red light in a single drop, we see the blue light on the inner part of the arc because we are looking along a different line of sight that has a smaller angle (40 degrees) for the blue.
Ana excellent laboratory exercise on the mathematics of rainbows is here, and F. K. Hwang has produced a fine Java Applet illustrating this refraction, and Nigel Greenwood has written a program that operates in MS Excel that illustrates the way the angles change as a function of the sun's angle.

What are Reflection Rainbows?

A reflection rainbow is defined as one produced by the reflection of the source of incident light (usually the sun). Photographs of them are perhaps the most impressive of rainbow photographs. The reflected rainbow may be considered as a combination of two rainbows produced by sunlight coming from two different directions - one directly from the sun, the other from the reflected image of the sun. The angles are quite different and therefore the elevation of the rainbow arcs will be correspondingly different. This is illustrated in a diagram adapted from Greenler"s Rainbows, Halos, and Glories. The rainbow produced by sunlight reflected from the water is higher in the sky than is the one produced by direct sunlight.

What is a Lunar Rainbow?

A full moon is bright enough to have its light refracted by raindrops just as is the case for the sun. Moonlight is much fainter, of course, so the lunar rainbow is not nearly as bright as one produced by sunlight. Lunar rainbows have infrequently been observed since the time of Aristotle or before. A graphic description of one was writen by Dr. Mikkelson.