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Opus the Penguin

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Jun 6, 2006, 12:45:47 AM6/6/06
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The boy wanted to know what makes a rainbow. I explained about the
water droplets creating a prism. But he wanted to know why it forms an
arch as opposed to, say, a multi-colored sheet.

For myself, I still don't quite get the prism deal. Each individual
droplet isn't acting as a prism, otherwise you'd get thousands of tiny
rainbows that wouldn't really be visible from a distance. Instead, a
whole big group of them are banding together to create a giant prism
visible from miles away. How do they get organized to do this?

--
Opus the Penguin
The best darn penguin in all of Usenet

Tim Wright

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Jun 6, 2006, 12:58:22 AM6/6/06
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Opus the Penguin wrote:
> The boy wanted to know what makes a rainbow. I explained about the
> water droplets creating a prism. But he wanted to know why it forms an
> arch as opposed to, say, a multi-colored sheet.
>
> For myself, I still don't quite get the prism deal. Each individual
> droplet isn't acting as a prism, otherwise you'd get thousands of tiny
> rainbows that wouldn't really be visible from a distance. Instead, a
> whole big group of them are banding together to create a giant prism
> visible from miles away. How do they get organized to do this?
>

This explains it far better than I could.
http://science.howstuffworks.com/rainbow.htm

--

Tim W

"Money frees you from doing things you dislike. Since I dislike doing
nearly everything, money is handy."

Groucho Marx

Blinky the Shark

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Jun 6, 2006, 1:15:32 AM6/6/06
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Opus the Penguin wrote:

> The boy wanted to know what makes a rainbow. I explained about the
> water droplets creating a prism. But he wanted to know why it forms an
> arch as opposed to, say, a multi-colored sheet.

The angle between the sun, the drops and you is what makes the rainbow
visible -- that narrow set of angles forms the bands in a circular
fashion. Think about staring at this point (in space):

X

Call it the "rainbow center" (it wouldn't be visible, of course, with a
real rainbow). The sun is behind you. For a given angle between
sun/drop/you, the angle that displays a certain hue describes a circle
around that "center", so you see an arc of that circle (interrupted by a
mountain or the trees or the horizon or the city skyline).

> For myself, I still don't quite get the prism deal. Each individual
> droplet isn't acting as a prism, otherwise you'd get thousands of tiny
> rainbows that wouldn't really be visible from a distance. Instead, a
> whole big group of them are banding together to create a giant prism
> visible from miles away. How do they get organized to do this?

Only one color is percrived as refracted/reflected/refracted from each
drop. The color depends on the angular position of the sun, the drop
and your eye. FIXED PITCH FONT PLEASE:


red orange yellow green blue violet
red orange yellow green blue violet
red orange yellow green blue violet
red orange yellow green blue violet
red orange yellow green blue violet
red orange yellow green blue violet
red orange yellow green blue violet X

And so on.


--
Blinky RLU 297263
Killing all posts from Google Groups
The Usenet Improvement Project: http://blinkynet.net/comp/uip5.html
Coming Soon: Filtering rules specific to various real news clients

Veronique

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Jun 6, 2006, 1:32:34 AM6/6/06
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Opus the Penguin wrote:
> The boy wanted to know what makes a rainbow. I explained about the
> water droplets creating a prism. But he wanted to know why it forms an
> arch as opposed to, say, a multi-colored sheet.
>
> For myself, I still don't quite get the prism deal. Each individual
> droplet isn't acting as a prism, otherwise you'd get thousands of tiny
> rainbows that wouldn't really be visible from a distance. Instead, a
> whole big group of them are banding together to create a giant prism
> visible from miles away. How do they get organized to do this?


I know a rainbow is curved in part because of the wavelength of the
different colors of light. Ergo, red (longest visible light) is always
on the outer part of the curve, and violet (shortest visible light) on
the inner.


V.
--
Veronique Chez Sheep

Erich

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Jun 6, 2006, 2:05:52 AM6/6/06
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In article <OX7hg.3625$PY6.1502@trnddc05>,
Tim Wright <tlwri...@verizon.net> wrote:

> Opus the Penguin wrote:
> > The boy wanted to know what makes a rainbow. I explained about the
> > water droplets creating a prism. But he wanted to know why it forms an
> > arch as opposed to, say, a multi-colored sheet.
> >
> > For myself, I still don't quite get the prism deal. Each individual
> > droplet isn't acting as a prism, otherwise you'd get thousands of tiny
> > rainbows that wouldn't really be visible from a distance. Instead, a
> > whole big group of them are banding together to create a giant prism
> > visible from miles away. How do they get organized to do this?
> >
>
> This explains it far better than I could.
> http://science.howstuffworks.com/rainbow.htm

Rainbows are only a starting point.

For explanations and photographs of just about every atmospheric optical
effect, you need to go here:

<http://www.atoptics.co.uk/>

... Erich

Mr C

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Jun 6, 2006, 2:54:35 AM6/6/06
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Not a "curve", it's a circle, most of which is below the horizon for
someone on the ground. At high altitude, like a plane, you can
sometimes see the whole thing.


Mr C

John Hatpin

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Jun 6, 2006, 4:16:52 AM6/6/06
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Out of interest, has anyone put an aerial photo of a full rainbow up
on the web? I've only seen pics of arcs.
--
John Hatpin

Greg Goss

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Jun 6, 2006, 4:29:41 AM6/6/06
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Opus the Penguin <opusthepen...@gmail.com> wrote:

>The boy wanted to know what makes a rainbow. I explained about the
>water droplets creating a prism. But he wanted to know why it forms an
>arch as opposed to, say, a multi-colored sheet.
>
>For myself, I still don't quite get the prism deal. Each individual
>droplet isn't acting as a prism, otherwise you'd get thousands of tiny
>rainbows that wouldn't really be visible from a distance. Instead, a
>whole big group of them are banding together to create a giant prism
>visible from miles away. How do they get organized to do this?

The center of the circle is the light source. You can see this by
playing with a garden hose, spraying it with your thumb on a sunny
day.

When the sun hits a raindrop, each colour gets bent a different
amount. The sun comes from behind you, hits a raindrop, bounces and
some of the light comes back at you. The red gets bent a different
amount than the blue light in a given drop.

When you are looking at the blue part, droplets along that line are
exactly X degrees from the sun behind you. That X is how far the blue
light gets bent. The red light from those particular droplets get
sent off at angle Y which doesn't reach your eyes. When you are
looking at the red part, all the droplets along that line form a Y
degree angle between you and the sun. Y is the amount that red light
gets bent. The light of other colours goes off in other angles.

When the light scatters off the droplet, each colour heads off in a
particular direction. Because the sun can be considered infinitely
far away, all of the droplets in a given line from your eye form the
SAME angle between that line to your eye and the line to the sun. If
that angle is the angle that a particular colour bounces, then all of
those drops bend the same colour the same amount. Along a different
line, the drops form a different angle between the lines to your eye
and to the sun. That angle would have a differnet colour.

Each droplet spews out ALL the colours in different directions. The
particular spew towards your eye is controlled by the angle between
the sun and your eye. And all the drops along that line have the same
angle, and therefore the same colour.
--
Tomorrow is today already.
Greg Goss, 1989-01-27

Tim Wright

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Jun 6, 2006, 9:47:50 AM6/6/06
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Here's one that's sort of what you're looking for.
http://antwrp.gsfc.nasa.gov/apod/ap040806.html

Mr C

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Jun 6, 2006, 9:53:30 AM6/6/06
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ra...@westnet.poe.com

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Jun 6, 2006, 10:26:00 AM6/6/06
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Opus the Penguin <opusthepen...@gmail.com> wrote:
> The boy wanted to know what makes a rainbow.

Heh, we have a little kids book with colored ribbons where the baby bunny
goes about asking all the animals what makes a rainbow and each animal
touts thier color as they show off thier bit of colored body: "'Orange'
replied the fox, swishing his orange tail, 'you need orange to make a
rainbow'" to which I affixed the folloing post-it on the penultimate page:

"Mr. Physiscist?" asked the baby bunny, "What makes a rainbow"
"Diffraction" replied the physicist, closing his CRC handbook, "You need
differential diffraction of light through water drops to make a rainbow."

> I explained about the
> water droplets creating a prism. But he wanted to know why it forms an
> arch as opposed to, say, a multi-colored sheet.

That's geometry: the water drops are spherical, and so the angle from a
drop between the lightsource and the observer for a given color traces
out an arc for the observer. That is, red is all drops that form a 11
degree angle (number made up) between the sun and the eye, yellow is at
11.1 and violet is at 11.2 or so, and that makes an arc.

> For myself, I still don't quite get the prism deal. Each individual
> droplet isn't acting as a prism, otherwise you'd get thousands of tiny
> rainbows that wouldn't really be visible from a distance.

No, you get exactly that: no two people are seeing the same rainbow, heck,
each eye isn't seeing the same rainbow. Different drops are doing the job
for each viewer.

> Instead, a
> whole big group of them are banding together to create a giant prism
> visible from miles away. How do they get organized to do this?

No organization: they just have to be the drops in the right place to
create the right sun-drop-eye angle for a given color.


John - OK, actually, it's the angles painting and erasing furiously.
--
Remove the dead poet to e-mail, tho CC'd posts are unwelcome.
Mean People Suck - It takes two deviations to get cool.
Ask me about joining the NRA.

Veronique

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Jun 6, 2006, 11:06:51 AM6/6/06
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I've seen those (usually icebows instead of rain.) I also once saw an
upside-down rainbow after a rainstorm in Portland. And the red was
still on the outside arch.

Veronique

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Jun 6, 2006, 11:09:21 AM6/6/06
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You win! And thanks for a great explanation!

xho...@gmail.com

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Jun 6, 2006, 12:06:12 PM6/6/06
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Opus the Penguin <opusthepen...@gmail.com> wrote:
> The boy wanted to know what makes a rainbow. I explained about the
> water droplets creating a prism. But he wanted to know why it forms an
> arch as opposed to, say, a multi-colored sheet.

There is a fixed angle between sun and eye at which the rainbow appears.
That means the rainbow is a fixed distance (angle, actually) from the sun.
That makes it a circle, because, well, because that is what a circle is.
Of course, where the circle runs into the ground, or out of water
droptlets, it gets truncated into an arc.


> For myself, I still don't quite get the prism deal. Each individual
> droplet isn't acting as a prism, otherwise you'd get thousands of tiny
> rainbows that wouldn't really be visible from a distance.

In fact, that is exactly what happens. There is a magic angle at which
all the tiny prisms re-inforce each other. At all the other angles, they
average out and cancel each other. So you only see the rainbow at the
magic angle. (That angle varies slightly with color, or course, which is
why the colors separate)

> Instead, a
> whole big group of them are banding together to create a giant prism
> visible from miles away. How do they get organized to do this?

Math.

Xho

--
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Usenet Newsgroup Service $9.95/Month 30GB

NadCixelsyd

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Jun 6, 2006, 12:22:25 PM6/6/06
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Tim Wright wrote:
>
> Here's one that's sort of what you're looking for.
> http://antwrp.gsfc.nasa.gov/apod/ap040806.html
>
> --
>
> Tim W
That's not a rainbow. It's a gegenschein.

I don't think a full rainbow is ever visible. A rainbow occurs about
150 degrees from the sun. Even with the sun on the horizon, the
rainbow would extend 30 degrees below the horizon. I don't think one
can get high enough to view more than 60% of a rainbow.

John Hatpin

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Jun 6, 2006, 2:29:06 PM6/6/06
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On 06 Jun 2006 14:26:00 GMT, ra...@westnet.poe.com wrote:

>Opus the Penguin <opusthepen...@gmail.com> wrote:
>> Instead, a
>> whole big group of them are banding together to create a giant prism
>> visible from miles away. How do they get organized to do this?
>
>No organization: they just have to be the drops in the right place to
>create the right sun-drop-eye angle for a given color.

This discussion reminds me of the explanation Feynmann gives in one of
the introductory lectures I linked to a while ago. As I understand
it, it goes like this:

When photons hit a raindrop (or a sheet of glass, or the skin of a
bubble), some pass through and some are reflected. It's a probability
thing, and the actual probability that light is reflected varies with
the thickness of the medium - in this case, the size of the individual
raindrop.

The odd thing - almost a scary thing - is that the light is reflected
from anywhere within the raindrop, not just the front or the back, and
at each point the probability of reflection is the same.

The reason that's an odd and almost scary thing is that the photons
that are bounced off the front or middle of the raindrop haven't been
physically affected by the thickness, and yet their probability of
reflection is. In other words, they "know" in *advance* the thickness
of the medium they're bouncing off (or not).

Spooky.

Yeah, and now there's a claim that photons can travel faster than the
speed of light when they're reversed. And electrons (I think) have
been teleported hundreds of miles, arriving before they left.

I wish I had the time and energy to learn more about this, and maybe I
will once I move out of this house.
--
John Hatpin

Opus the Penguin

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Jun 6, 2006, 3:10:44 PM6/6/06
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John Hatpin (no...@nowhere.com) wrote:

> The odd thing - almost a scary thing - is that the light is
> reflected from anywhere within the raindrop, not just the front or
> the back, and at each point the probability of reflection is the
> same.
>
> The reason that's an odd and almost scary thing is that the
> photons that are bounced off the front or middle of the raindrop
> haven't been physically affected by the thickness, and yet their
> probability of reflection is. In other words, they "know" in
> *advance* the thickness of the medium they're bouncing off (or
> not).

I'll recommend again the short story "The Story of Your Life" by Ted
Chiang. It's found in the anthology _Stories of Your Life and Others_
by that author.

If anyone recalls, I recommended this story last time in a discussion
about written language not needing to mirror spoken language. So
you've got to be at least a little curious about how that idea ties
in with the foreknowledge of photons.


Bob Ward's Aunt's Monkey is expecting to release their new CD _The
Foreknowledge of Photons_ some time in July.

Lord Jubjub

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Jun 6, 2006, 10:33:23 PM6/6/06
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In article <oetting-D8E608...@news.uswest.net>,
Erich <oet...@qwest.net> wrote:

http://www.sundog.clara.co.uk/rainbows/bowim19.htm

From a link in the site. . .THIS is spectacular!

--
Lord Jubjub
Keeper of the Jabberwock

Reunite Gondwanaland (Mary Shafer)

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Jun 7, 2006, 12:48:47 AM6/7/06
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On 6 Jun 2006 08:06:51 -0700, "Veronique" <veroniq...@yahoo.com>
wrote:

Somewhere around here I have a photo of a double rainbow, except that
it's really only one rainbow with the bottom part reflecting off the
water on the lakebed, which you can tell because of the order of the
colors. In a classic double rainbow, which does happen but only
rarely, it's the other way.

Mary "Instead of a pot of gold, there's an X-1E"
--
Mary Shafer Retired aerospace research engineer
We didn't just do weird stuff at Dryden, we wrote reports about it.
reunite....@gmail.com or mil...@qnet.com

Hank Gillette

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Jun 7, 2006, 1:43:57 AM6/7/06
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In article <1149571954.4...@h76g2000cwa.googlegroups.com>,
"Veronique" <veroniq...@yahoo.com> wrote:

> I know a rainbow is curved in part because of the wavelength of the
> different colors of light. Ergo, red (longest visible light) is always
> on the outer part of the curve, and violet (shortest visible light) on
> the inner.
>

And a rainbow is actually a circle, but the horizon cuts it off.

--
Hank Gillette

"I think liberalism lives - the notion that we don't have to stay where we
are as a society, we have promises to keep, and it is liberalism, whether
people like it or not, which has animated all the years of my life. What
on Earth did conservatism ever accomplish for our country? -- Charles Kuralt

Greg Goss

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Jun 7, 2006, 3:07:29 AM6/7/06
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"Reunite Gondwanaland (Mary Shafer)" <reunite....@gmail.com>
wrote:

>Somewhere around here I have a photo of a double rainbow, except that
>it's really only one rainbow with the bottom part reflecting off the
>water on the lakebed, which you can tell because of the order of the
>colors. In a classic double rainbow, which does happen but only
>rarely, it's the other way.
>
>Mary "Instead of a pot of gold, there's an X-1E"

I've seen a triple. The main arch was brilliant, the outer arch was
complete, but considerably fainter, and the inner arch was about 1/3
complete, and primarily visible lower down.

I'm surprised that nobody else seems to mention them, and people
consider DOUBLE rainbows to be rare. I wonder whether there was
something special about Kelowna's weather to make the rainbows
brighter. It's a semi-desert (13 inches rain a year) set in a wide
valley - former lake-bed, so flat across the valley.

Greg Goss

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Jun 7, 2006, 3:09:00 AM6/7/06
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"NadCixelsyd" <nadci...@aol.com> wrote:

>I don't think a full rainbow is ever visible. A rainbow occurs about
>150 degrees from the sun. Even with the sun on the horizon, the
>rainbow would extend 30 degrees below the horizon. I don't think one
>can get high enough to view more than 60% of a rainbow.

You can if you're very close to the water droplets. I've seen a
full-circle rainbow while playing with a garden hose as a kid.

John Hatpin

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Jun 7, 2006, 6:37:17 AM6/7/06
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I've seen triple rainbows here in the UK, although only a few times.
I don't recall how complete they were.
--
John Hatpin

ra...@westnet.poe.com

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Jun 7, 2006, 8:53:51 AM6/7/06
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Lord Jubjub <bander...@houston.rr.com> wrote:
<snip>

> > For explanations and photographs of just about every atmospheric optical
> > effect, you need to go here:
> >
> > <http://www.atoptics.co.uk/>

> http://www.sundog.clara.co.uk/rainbows/bowim19.htm

> From a link in the site. . .THIS is spectacular!

Thank you for that link: it IS spectactular.

John

John Dean

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Jun 8, 2006, 8:05:46 PM6/8/06
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Then there's the circumhorizon arc:
http://www.sundog.clara.co.uk/halo/cha.htm

And the circumzenithal arc:
http://www.sundog.clara.co.uk/halo/cza.htm

--
John Dean
Oxford


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