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| From: Malcolm Oliver |
11/04/99
13:07:35
|
| Subject: Ripple Tanks and
Light |
post id:
6345
|
Small waves in tanks are
frequently used as models for light waves. We can use ripples to
successfully demonstrate reflection, refraction, dispersion, etc.
1. How far can the information obtained from ripples be relied
upon to explain light phenomenon?
2. At the beach, waves run
agrouond and break. Do light waves "break?"
3. Small waves moving
across a sand bar can run into a channel of deepeer water. This channel
then generates a wave running in the opposite direction. Do light waves
reverse from space time channels in a similar way?
4. Two extended
linear waves approaching each other at a small angle meet. The point at
which they cross moves more quickly along than either of the creating
waves. There is quite a "rooster tail" thrown up due to constructive
interference. What light phenomenon does this represent?
5. When a
pebble is dropped into a pond, the water is accelerated away from the
pebble which displaces it and forms waves. Why doesn't a super nova
explosion accelerate light in a similar
way?
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| From: James Richmond
(Avatar) |
11/04/99
16:43:51
|
| Subject: re: Ripple Tanks and
Light |
post id:
6364
|
Good questions,
Malcolm!
1. How far can the information
obtained from ripples be relied upon to explain light
phenomenon?
The information from ripple tank experiments can
tell us a lot about the wave nature of light, by analogy. Light also has
particle-like properties. Obviously, the ripple tank waves are not much
help in describing particle-like behaviour..
2. At the beach, waves run agrouond and break. Do light
waves "break?"
I'll come back to this, below.
3. Small waves moving across a sand bar can run into a
channel of deepeer water. This channel then generates a wave running in
the opposite direction. Do light waves reverse from space time channels in
a similar way?
The analogous situation to water waves
running into a sand bar is light travelling in one medium running into one
with a lower refractive index. For example, light travelling in glass hits
the edge of the glass and continues on through the air, perhaps entering
another piece of glass a short distance away. The glass is the sand bar;
the air is the channel. Just as when a water wave hits a channel, a
reflected wave is produced (good observation, by the way), so too is some
of the light reflected as the light passes from glass to air.
4. Two extended linear waves approaching each other at a
small angle meet. The point at which they cross moves more quickly along
than either of the creating waves. There is quite a "rooster tail" thrown
up due to constructive interference. What light phenomenon does this
represent?
Exactly the same thing can be seen with light. If
two coherent light beams are intersected at a small angle, a bright region
will be seen where they intersect - this is analogous to the "rooster
tail" you're talking about, and arises in the same way. If you change the
angle, the intersection point can move faster than the speed of
light.
5. When a pebble is dropped into a
pond, the water is accelerated away from the pebble which displaces it and
forms waves. Why doesn't a super nova explosion accelerate light in a
similar way?
A true wave involves no net movement of the
particles in the medium carrying it. For example, when a water wave passes
a certain point in the water, the water molecules at that point rise
vertically upwards, then return to their original position. Only the wave
moves along, not the water molecules. However, dropping a pebble in a pond
does cause net movement of the water (which has to get out of the
way to make room for the pebble). The pushing of the water out of the way
of the pebble, and its subsequent movement back as the pebble sinks,
provides energy to start a wave. But once the wave is started, the water
stops accelerating in the direction away from the pebble, and we have only
the normal up-down movement of molecules.
The point here is that
the water isn't the wave - it is just the medium which carries the wave.
The wave is really a pulse of energy in the medium. This is where the
analogy starts to break down for light. Light waves need no medium to
carry them. So, while the water isn't the wave, the light, in a sense,
is.
A supernova explosion moves matter around, and some of the
matter emits light. But the light is produced in the explosion - it is not
already sitting there waiting to be accelerated.
A similar
explanation applies to question 2, above. When a water wave breaks, it is
no longer really a wave, but a particle disturbance. The wave energy is
converted to a physical disturbance of the medium (the water). But, as I
said above, light needs no
medium.
JR
| <
| From: The Kernel |
12/04/99
2:01:40
|
| Subject: re: Ripple Tanks and
Light |
post id:
6396
|
1. The use of the ripple tank as
a simulation of the properties of light is very limited because the
velocity of light is constant at 3.0 E8 and water ripples (waves) have a
variable velocity.
2. Waves at the beach break because of two
reasons. a) as the waves slow-down as they reach shallows, they convert
horizontal kinetic energy to vertical kinetic energy which increaces
amplitude, hence the wave breaks, as the velocity at the top of the wave
is higher than at the centre of the wave, b) as the waves reach the
shallows they are pushed upwards by a reaction with the ocean floor.
Extrapolate from this the constnat velovity of light, hence light waves do
not break.
3. Light waves can be reversed (that is what a mirror
does), the waves of different wavelengths also may form a "beet" as
exibited in the sandbar channel (this is why we have an RGB
CRT).
4. I believe you are refering to a two-slot interference
pattern by which when light waves converge at a point in-phase to form an
anti-node (bright region) and when the light waves converge at a point out
of phase to form a node (dark region). Once again the velocity of light
remands constant.
5. Light can not be accelerated! there is no
acceleration in light! Mater ejected from a super nova explosion will
exibit a shift in wavelength due to velocity called a red/blue shift,
which can be used to measure the velocity and hence + and - acceleration
of the explosion and given the spectra, brightness and size of the object,
mass and energy output deduced.
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