A question about the speed of Light in different media...

Okay...The speed of light is affected by density of the medium in which it propagates....It is more in rarer medium and lesser in denser medium...Hence we can conclude that a medium affects the speed of light...My question is that why this ''affect'' is not ''continuous'', like why the speed of light is not constantly changing in the same medium???...Any help is appreciated...

Okay...The speed of light is affected by density of the medium in which it propagates....It is more in rarer medium and lesser in denser medium...

Counter example: Lead glass has a density of 3500-4800 kg/m³ and a refractive index of around 1.6. Dimond has a density of 3100-3500 kg/m³ and a refractive index of 2.4.

I think what you mean is optical density.

Hence we can conclude that a medium affects the speed of light...My question is that why this ''affect'' is not ''continuous'', like why the speed of light is not constantly changing in the same medium???

If the speed of light is determined by a property of the medium, then why should the speed of light change when this property remains constant?

Dale
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My question is that why this ''affect'' is not ''continuous'', like why the speed of light is not constantly changing in the same medium???
It can change within the same medium. That is the basis for mirages and stars twinkling

sophiecentaur
Gold Member
2020 Award
It can change within the same medium. That is the basis for mirages and stars twinkling
The density can change with temperature and that can alter the speed within the same 'medium'.

Someone will correct me if I am wrong that the density does not have to change within a medium to alter the speed of light.
White light shone through a prism (glass) will form a rainbow of colours each colour will have a different frequency than another and will travel at a different speed.

sophiecentaur
Gold Member
2020 Award
to alter the speed of light.
You are 'not wrong' but quoting the speed assumes a particular frequency. You can't change the frequency, once the wave is launched.

DrDu
I think the frequency of light propagating in a gas like air decreases constantly due e.g. to Raman scattering, however, this effect is very small.
Nevertheless it leads theoretically to a continuous change of speed.

Counter example: Lead glass has a density of 3500-4800 kg/m³ and a refractive index of around 1.6. Dimond has a density of 3100-3500 kg/m³ and a refractive index of 2.4.

I think what you mean is optical density.

If the speed of light is determined by a property of the medium, then why should the speed of light change when this property remains constant?
The speed of light in glass is approximately 200,000 kilometres (120,000 mi) /s, i.e, the speed of light changes as soon as the light enters from a different medium to glass...My question is that why, after this ''change'', the speed of light suddenly becomes constant for glass..., like why there is no constantly decreasing speed of light as the light propagates through glass????

DrDu
The speed of light in glass is approximately 200,000 kilometres (120,000 mi) /s, i.e, the speed of light changes as soon as the light enters from a different medium to glass...My question is that why, after this ''change'', the speed of light suddenly becomes constant for glass..., like why there is no constantly decreasing speed of light as the light propagates through glass????
What is propagating in glass is not light but so called excitons. I.e. the energy of the light is partially stored in atomic or molecular exited states and only a fraction of the time in photons moving at the vacuum speed of light. Hence on average, light is not as fast in a medium as in vacuum.

jbriggs444
Homework Helper
The speed of light in glass is approximately 200,000 kilometres (120,000 mi) /s, i.e, the speed of light changes as soon as the light enters from a different medium to glass...My question is that why, after this ''change'', the speed of light suddenly becomes constant for glass..., like why there is no constantly decreasing speed of light as the light propagates through glass????
If I understand the concern, you envision light particles as little projectiles that slow down when they encounter dense objects -- like a bullet that slows down continuously as it passes through a tank of water or a slab of ballistic gelatin. But, as @DrDu points out, light particles are not little bullets.

Nor are they waves, exactly. But their propagation matches wave behavior.

If I understand the concern, you envision light particles as little projectiles that slow down when they encounter dense objects -- like a bullet that slows down continuously as it passes through a tank of water or a slab of ballistic gelatin. But, as @DrDu points out, light particles are not little bullets.

Nor are they waves, exactly. But their propagation matches wave behavior.
If their propagation matches wave behaviour, should'nt there be some damping when light propagates through a medium???And if there is damping, then why is speed of light constant???

jbriggs444
Homework Helper
If their propagation matches wave behaviour, should'nt there be some damping when light propagates through a medium???
Wave speed is independent of wave amplitude.
And if there is damping, then why is speed of light constant???
The above is only a heuristic answer, of course. Since light is only wave-like. But experiment shows that light does move at a measurable, constant speed in a uniform medium.

sophiecentaur
Gold Member
2020 Award
if there is damping, then why is speed of light constant
What I am getting from your posts is that you just don't believe what PF is telling you; your intuition is winning over the consensus. It may be a good idea to start considering that the PF message is probably (more) correct and what you need is arguments to support the idea that you could be wrong (?).
Why would you think that damping should slow up a wave? It will slow up a car but that's not the same thing. There are other ways of losing energy than losing kinetic energy (which, I think, why you want the wave to slow up). If the medium is isotropic (I'm talking in classical terms and let's get that sorted out first) then the dissipated energy can also cause the amplitude to drop on the way through without changing speed.
Also, consider this situation. A train of pulses of light are launched into glass block. You suggest that they should slow up on the way through. Imagine another beam of pulses, introduced into the block, half way along (the two beams come from a single modulated laser with a beam splitter). With your model, the second string of pulses wouldn't have started slowing down until it enters the block so they would arrive at the other end going faster than the original pulse stream. The frequency of the two streams of pulses would be different even though they have been travelling side by side through half of the block. The would arrive at a different rate. Have you ever heard of an experiment in which that happens?

DrDu
I already pointed out that incoherent scattering will lead to a change of frequency and in general also of speed. So the question is rather why this process is so inefficient with light.

sophiecentaur
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2020 Award
I already pointed out that incoherent scattering will lead to a change of frequency and in general also of speed. So the question is rather why this process is so inefficient with light.
Has the conventional aspect of this question been resolved, though? I think we need one step at a time.

Dale
You are 'not wrong' but quoting the speed assumes a particular frequency. You can't change the frequency, once the wave is launched.
Why not.

phinds
Gold Member
Someone will correct me if I am wrong that the density does not have to change within a medium to alter the speed of light.
White light shone through a prism (glass) will form a rainbow of colours each colour will have a different frequency than another and will travel at a different speed.
The colors of light that exit a prism certainly do have different frequencies (the very definition of color in one way) but certainly do NOT have different speeds.

sophiecentaur
Gold Member
2020 Award
Why not.
It's not 'never' the case but a classical model is based on having an array of oscillators consisting of masses linked with springs. The force on one of the oscillators will be due to the displacement of the spring (or springs) and its period has to be the same as the displacements of the previous oscillators. So the only oscillation that can be induced in one oscillation has to have the same frequency as that of the previous oscillator. If not, the relative phases would march along until the motions were in the opposite direction ( 180 degree phase difference) and back again to in-phase. Even if there is some friction involved, this can't happen and any energy loss has to be by dissipation of energy and not by a change in frequency. There will be a steady phase lag as you look along the chain of oscillators , which represents the delay due to the speed of propagation.
Conventional wave theory talks in terms of phase continuity across a boundary. The phase step from incident wave to transmitted wave that can occur is only possible because of a reflected wave being present.
Once that is OK then you can discuss more advanced models - such as what DrDu mentioned - but it's not a good idea to jump into harder models until the basics are working for you. And . . . . . the effect of 'tired photons, as they go through a medium is very small.

sophiecentaur
Gold Member
2020 Award
do NOT have different speeds.
. . .once they exit the prism into space / air. (to emhasise)
The fact that they speed up again can give problems.

DrDu
It's not 'never' the case but a classical model is based on having an array of oscillators consisting of masses linked with springs. The force on one of the oscillators will be due to the displacement of the spring (or springs) and its period has to be the same as the displacements of the previous oscillators. So the only oscillation that can be induced in one oscillation has to have the same frequency as that of the previous oscillator. If not, the relative phases would march along until the motions were in the opposite direction ( 180 degree phase difference) and back again to in-phase. Even if there is some friction involved, this can't happen and any energy loss has to be by dissipation of energy and not by a change in frequency. There will be a steady phase lag as you look along the chain of oscillators , which represents the delay due to the speed of propagation.
Conventional wave theory talks in terms of phase continuity across a boundary. The phase step from incident wave to transmitted wave that can occur is only possible because of a reflected wave being present.
Once that is OK then you can discuss more advanced models - such as what DrDu mentioned - but it's not a good idea to jump into harder models until the basics are working for you. And . . . . . the effect of 'tired photons, as they go through a medium is very small.
Yes, but inelastic scatteting is exactly what slows down a classical barticle in a medium (aka friction), so you have to discuss its effect on light propagation to understand this question.

sophiecentaur
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2020 Award
Yes, but inelastic scatteting is exactly what slows down a classical barticle in a medium (aka friction), so you have to discuss its effect on light propagation to understand this question.
What classical particles are involved in the 'latest' (i.e. not classical particulate) theory of light? The particles involved in a sustained mechanical wave will not 'slow down' in a way that will alter the frequency of the wave. Photon scattering is not the same as mechanically linked and vibrating particles. Why are you trying to rush through this, missing out steps?
Exploring light in terms of a wave motion and getting fully conversant with that model will avoid some of the obvious misconceptions that can arise from treating light as a wave 'wrongly'.
If you try a classical model of light in involving particles (and a classical model can't do both models at once) then you get nonsense if you try to explain refraction or diffraction (which are the dominant phenomena which need explaining) . If you want to go further and introduce your scattering phenomenon, you have to take a big step and get into QM. That's fine, of course, but isn't it a risk if the classical model isn't thoroughly sorted out? PF is full of threads from people who want to talk advanced Physics without sorting out the basics and it always causes tears before bedtime.

sophiecentaur
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2020 Award
Yes, but inelastic scatteting is exactly what slows down a classical barticle in a medium (aka friction), so you have to discuss its effect on light propagation to understand this question.

Friction doesn't cause the frequency to change, tho'. I think you should be separating what happens to classical particles and to
quantum particles. I think that the distinction is very important, so much so that they should have two different words. Feynman'a fault.

DrDu
Friction doesn't cause the frequency to change, tho'. I
I found a classical paper by Chandrasekar from 1948 where the the softening of gamma radiation due to multiple Compton scattering is calculated:
http://rspa.royalsocietypublishing.org/content/192/1031/508

I would paraphrase this exactly as a frequency change due to friction.

sophiecentaur