How wide is a rainbow?

Yesterday evening I saw a beautiful double rainbow … a rare thing for L.A.

My question is, if I could see the *entire *electromagnetic spectrum, how much wider would a rainbow appear (relative to what I see now)? Obviously the bands that I see in the sky are just the narrow range of light that my eye is sensitive to. I’m assuming that there are ultraviolet and infrared components on either side that are invisible. But surely there are upper and lower limits on the wavelengths that are scattered by water droplets. What range of “colors” are present in a full rainbow? And how big would it be in its full spectrum glory? Twice as wide? Three times?

http://epod.usra.edu/blog/2007/10/rainbow-in-infrared-light.html

The limiting factor is going to be the absorption spectrum of water. It looks like the infrared rainbow would gradually peter out between about 1 and 10 microns, while the ultraviolet would have a pretty sharp cutoff at around 200 nm.