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- Path: sparky!uunet!gatech!mailer.cc.fsu.edu!sun13!ds8.scri.fsu.edu!jac
- From: jac@ds8.scri.fsu.edu (Jim Carr)
- Newsgroups: sci.physics
- Subject: Re: Noah's formation: The rainbow
- Message-ID: <9901@sun13.scri.fsu.edu>
- Date: 21 Jul 92 14:32:52 GMT
- References: <1992Jul20.091322.13842@vax5.cit.cornell.edu> <1992Jul20.224509.15546@fs7.ece.cmu.edu>
- Sender: news@sun13.scri.fsu.edu
- Reply-To: jac@ds8.scri.fsu.edu (Jim Carr)
- Organization: SCRI, Florida State University
- Lines: 37
-
- In article <1992Jul20.224509.15546@fs7.ece.cmu.edu> snyder@henry.ece.cmu.edu (John Snyder) writes:
- >
- >So, in simple form, what is the correct explanation (including the double
- >and triple rainbows)?
-
- If it were simple, it would not be a problem of such long and interesting
- history. But I will try anyway. I think a good optics book will discuss
- it, and it can also be found in scattering theory books because of its
- role in certain nuclear physics phenomena.
-
- What happens is that a light ray entering a (assume spherical) drop is
- first refracted towards the normal, reflected from the inside, then
- refracted away from the normal as it leaves. If you follow a large
- number of rays hitting a drop a different places, you will observe a
- curious phenomenon: there are angles where no rays come out, and there
- is an angle where many rays appear to pile up as they all come out in
- the same direction. This is the rainbow angle, and leads to a bright
- band with a sharp edge (more or less, this is where the Airy functions
- and numerical work comes in) leading to a dark region. A second bright
- band then appears after the dark region, as a result of TWO reflections
- inside the drop. There are also supernumerary arcs in the dark region
- between the bows, but these are fainter than the second bow.
-
- You can convince yourself of some of this by working in 2-D with a
- circle as the raindrop. It is rather convincing if you are careful.
-
- The color occurs because water is dispersive and hence the rainbow
- angle depends on color. The second bow is reversed for reasons that
- one can see only by working out the angles themselves, but it turns
- out that the angles of the first and second bow move away from the
- common center dark region as the wavelength changes.
-
- --
- J. A. Carr | "The New Frontier of which I
- jac@gw.scri.fsu.edu | speak is not a set of promises
- Florida State University B-186 | -- it is a set of challenges."
- Supercomputer Computations Research Institute | John F. Kennedy (15 July 60)
-