# Light through a medium

by whydoyouwanttoknow
Tags: light
 P: 43 Ok, I don't want no equations and stuff please. When light travels through a medium the photons are absorbed by atoms in the medium and then a photon is given off by the atom of similiar energy, etc, this is correct? If this is so does that mean when I look out the window that I'm not actually seeing the light given off by the sun but light from the window, it's new light?
 PF Patron Sci Advisor Thanks Emeritus P: 38,412 Define "new light"! Light is light.
P: 43
 Quote by HallsofIvy Define "new light"! Light is light.
Well is it counted as the light that came from the other side of the window or is it counted as light from the atoms in the glass?

P: 5,568

## Light through a medium

When light is reflected, it is absorbed and re-emitted. Ivan Seeking told me last year that no one can say if the reflected light is exactly the same energy that was absorbed. Reflected light would be from "the atoms in the glass" as you put it.

I believe the same can be said of transmitted light. This is why light seems to be going less than the speed of light through glass, and other transparent stuff. It has to take a spin around various atoms that happen to absorb it. It is actually still doing that at c, the speed of light. It takes longer to get from point A to point B because it has to do alot of going around in circles along the way.
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 Quote by zoobyshoe I believe the same can be said of transmitted light. This is why light seems to be going less than the speed of light through glass, and other transparent stuff. It has to take a spin around various atoms that happen to absorb it. It is actually still doing that at c, the speed of light. It takes longer to get from point A to point B because it has to do alot of going around in circles along the way.
I cannot overstate how wrong this is. Zoobyshoe, this is not the place for speculation.

I will stress that light is not absorbed when travelling through a transparent medium, there are no electrons being promoted into higher atomic orbitals. If a beam of light were absorbed in a medium, it would not be transmitted through that medium.

To understand what is happening when light passes through a medium, you need to understand what polarisation is. When one applies an electric field to an atom, the electric field causes the electron(s) to be slightly displaced from equilibrium, which forms an electric dipole. This pertubation can propagate through a medium, much the same way as if you jiggle a length of rope at one end, the pertubation (the jiggle), propagates down the length of the string. The energy and momentum of the incident light is carried in this wave, so essentially the light is, for all intents and purposes, travelling through the medium.

Why does light propagate slower in a medium than in a vacuum? As a perturbed atom passes the pertubation on to the nest atom, there is a slight shift in the phase of the oscillation of the two atoms. The culmination of these phase shifts manifests itself as a reduced velocity.

In short, the energy and momentum flung out by the sun in the form of visible radiation passes through the window. Although the window (and the atmosphere, for that matter) may nudge and tickle it a little bit, the packets of energy and momentum that we call photons that hit your eyes, for all intents and purposes originated from the sun.

Claude.
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 Quote by Claude Bile I cannot overstate how wrong this is. Zoobyshoe, this is not the place for speculation.
I can accept that this is wrong. However, it isn't speculation on my part. It's how I read a mentor explain it in a thread here last year.
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P: 288
As I understand the process, it IS one of absorbtion and re-emission. I'm not sure what Claude means by transparency, since that would be a function of the energy of the incident photon and the composition of the medium.

 Quote by Claude "Why does light propagate slower in a medium than in a vacuum?
Light can only propagate in a vacuum, else it is absorbed or undergoes some type of scattering event
P: 4,003
 Quote by GENIERE Light can only propagate in a vacuum, else it is absorbed or undergoes some type of scattering event
or absorption event...you are correct.

Besides, if anyone ever wondered why leaves are green or why the sky is blue, check out my journal (the first page you see, "on the physics of colours").
Besides, don't forget that photons have alwys the same speed but an EM-wave has variable speed when passing through a medium : the wave can be slowed down for example. The clue is to look at this traffic analogy : suppose you have a car that has constant speed and travels a 100m road. There are three stopping lights on that road so the car will stop three times. The netto-effect will be that the car will take more time to finish the 100m and in this way : the total velocity is lowered, you see ? The stopping event can be seen as the absortion of a photon by an atom of the medium. Ofcourse, the car is the photon

regards

marlon
P: 15,294
 Quote by whydoyouwanttoknow Ok, I don't want no equations and stuff please. When light travels through a medium the photons are absorbed by atoms in the medium and then a photon is given off by the atom of similiar energy, etc, this is correct? If this is so does that mean when I look out the window that I'm not actually seeing the light given off by the sun but light from the window, it's new light?
I'm going to go out on a limb and restate the question.

Of the light that reaches me after passing through a window, what percent of the photons have passed directly through the glass without being absorbed and re-emitted by at least one atom, and what percent of photons have interacted? (A ballpark number is sufficient.)

(As I ask this question, I realize that the photons have to make their way through a hundred miles of air too. The number of photons reaching me that actually left the Sun, is a pretty big zero.)
P: 43
 Quote by DaveC426913 I'm going to go out on a limb and restate the question. Of the light that reaches me after passing through a window, what percent of the photons have passed directly through the glass without being absorbed and re-emitted by at least one atom, and what percent of photons have interacted? (A ballpark number is sufficient.) (As I ask this question, I realize that the photons have to make their way through a hundred miles of air too. The number of photons reaching me that actually left the Sun, is a pretty big zero.)
Yeah. So are they though counted as new photons or does physics count them as the photons that came from the sun?
P: 5,568
Let's look more closely at Claude-Bile's explanation. I don't get the impression from peoples subsequent posts it's been generally understood:
 Quote by Claude Bile I will stress that light is not absorbed when travelling through a transparent medium, there are no electrons being promoted into higher atomic orbitals.
Claude is stressing that the photon is not transduced into a more energetic electron in the case of transmission.
 If a beam of light were absorbed in a medium, it would not be transmitted through that medium.
Meaning, I think, you could have many things as a result of absorption; (reflection ard the photoelectric effect are two I can think of) but you wouldn't get transmission.
 To understand what is happening when light passes through a medium, you need to understand what polarisation is. When one applies an electric field to an atom, the electric field causes the electron(s) to be slightly displaced from equilibrium, which forms an electric dipole.
This is where Claude begins to explain a very different mechanism whereby the energy from the incoming photon is transmitted through the medium, a mechanism that isn't the same as absorbtion and re-emission at all. I hope everyone understands the imbalance of charge that he has described: when an atom is subject to an electric field the electrons in that atom are affected by the field. Specifically, the electrons are prevented from maintaining equilibrium (equilibrium with regard to the other electrons and nuclei of the atoms they're a part of, I assume). With its electrons shifted out of place, the atom becomes more positive or negative on one side or the other. It has become polarized, that is, electrically positive and negative poles have been formed in the atom. Whereas before it was electrically homogenous all around, now it is a dipole: positive on one side, negative on the other. (Claude may want to confirm or refute my paraphrase. I hope I understood it accurately.)
 This pertubation can propagate through a medium, much the same way as if you jiggle a length of rope at one end, the pertubation (the jiggle), propagates down the length of the string.
If I understand what Claude has said so far, let me suggest that the rope analogy could be replaced by the better one of billiard balls lined up in a row, all touching each other. Strike one at the end with a force whose vector is pretty much in the same direction as the line of balls, and the energy of the blow will propagate down the line of balls as each strikes (perturbes) the next in line. (Subject to Claude's approval.)

The explanation Claude is giving is that when the first atom becomes polarized (by the incident photon, presumably) the electrical imbalance has a direct and imediate affect on the next atom in line: it finds itself subjected to an electric field that is more positive or negative than equilibrium, and it, too, forms a dipole in reaction, which only serves to present an electrically unbalanced field to the next atom, and so on.
 The energy and momentum of the incident light is carried in this wave, so essentially the light is, for all intents and purposes, travelling through the medium.
Here, I want to interpolate a reaction I had when reading this: based on your description it doesn't seem accurate to call what is passing through the medium a "photon". To me the word designates a specific form of energy and momentum, in order, among other things, to distinguish it from other forms. I think it would be more accurate to say the photon has been transduced to a different form of energy for the duration of travel through the medium.
 Why does light propagate slower in a medium than in a vacuum? As a perturbed atom passes the pertubation on to the nest atom, there is a slight shift in the phase of the oscillation of the two atoms. The culmination of these phase shifts manifests itself as a reduced velocity.
I would be interested in reading an expansion of this explanation. "Phase of oscillation" and what would constitute a shift of that phase, aren't clear enough to me that I can understand how a reduction in velocity would result. (I never bothered to dig deeper into the explanation that was given last year - your sounds much more promising.)
 In short, the energy and momentum flung out by the sun in the form of visible radiation passes through the window. Although the window (and the atmosphere, for that matter) may nudge and tickle it a little bit, the packets of energy and momentum that we call photons that hit your eyes, for all intents and purposes originated from the sun.
Again, while the quantity of energy and momentum would be conserved, I think that calling it a photon while it is propagating through the medium doesn't seem accurate. Passing through the atmosphere or window, seems, from your description, to be doing more than nudging and tickling it a bit. The latter sounds too much like a pin ball making it intact through a field of pins sticking up that divert it back and forth a bit. The traveling dipole, or phase shift, seems different enough to me from a photon to merit a different name, although I don't know what would be most appropriate or accurate.

Anyway, I thought your careful post deserved more attention. The mechanism you described is clearly different from the common absorbsion and re-emission of a photon by an electron that I had stuck in my head.
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 Quote by zoobyshoe I can accept that this is wrong. However, it isn't speculation on my part. It's how I read a mentor explain it in a thread here last year.
Okay, fair enough, but..

 Quote by zoobyshoe I believe the same can be said of transmitted light.
The whole 'I believe' part was the phrase that I didn't like. Anyway, with regard to your next post..

I think you understood my earlier post quite well. In terms of energy propagation, the line of billiard balls is ok, though mathematically, one describes light in a medium using the (classical) wave-equation, which is why I prefer the string.

The physics of this is encapsulated by the Kramers-Kronig relations, which essentially treat the electron/atom system as a driven oscillator. If you are familiar with the physics of driven oscillators, the form of the equations will be very familiar and easy to understand and interpret.

In a driven oscillator, the motion of the body undergoing oscillation is out of phase with the driving force when one is not on resonance. In the case of transmission through a medium, it is a necessary condition that the driving force not be on a resonance, otherwise absorption will result. Now consider the case where the motion of one electron (A) is driving the motion of the next (B). Electron B is out of phase with electron A, i.e. there is a net phase shift between A and B. Now consider a medium as a long path of electrons, the accumulated phase shift results in a slowed velocity.

The electric permittivity of the medium affects the magnitude of the phase shift from one electron to another. Hence the relationship between refractive index and the velocity of light through a medium.

It is clear that you understood what I was saying, because you are asking the right questions, so to speak. Is a photon in a medium still a photon? Ask yourself, what is a photon? It is an oscillation in an electromagnetic field. What is this pertubation wave? It too, is an oscillation in an electromagnetic field. Essentially, the photon is still considered a photon inside a medium because all its properties are preserved (I won't get started on non-linear media).

You obviously have a grasp of this level of physics, I encourage you to read a little literature on the topic to gain a deeper understanding. Most graduate level books on optics or optoelectronics should mention the Kramers-Kronig relations. Also, most books on non-linear optics should deal with this topic thoroughly.

Regards,
Claude.
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 Quote by Geniere Light can only propagate in a vacuum, else it is absorbed or undergoes some type of scattering event
Are you saying that photons can't be transmitted through any media? I think there is a misunderstanding of the processes of scattering and absorption here. While there will be some absorption and some scattering, the vast majority of photons through, say a 1m length of fibre will not undergo either of these processes.

(The probability of light being absorbed and reemitted or scattered in such a way that the photon is guided by the optic fibre again is very small).

 Quote by marlon or absorption event...you are correct. Besides, if anyone ever wondered why leaves are green or why the sky is blue, check out my journal (the first page you see, "on the physics of colours"). Besides, don't forget that photons have alwys the same speed but an EM-wave has variable speed when passing through a medium : the wave can be slowed down for example. The clue is to look at this traffic analogy : suppose you have a car that has constant speed and travels a 100m road. There are three stopping lights on that road so the car will stop three times. The netto-effect will be that the car will take more time to finish the 100m and in this way : the total velocity is lowered, you see ? The stopping event can be seen as the absortion of a photon by an atom of the medium. Ofcourse, the car is the photon
Marlon, your explanation ignores one very important property of abosrption and spontaneous emission; The radiation must be isotropic in that the emitted photon has an equal probability of travelling in all directions. The actualy probability of an spontaneously emitted photon travelling in the same direction as the incident (absorbed) photon is infinitesimally small.

 Quote by whydoyouwanttoknow Yeah. So are they though counted as new photons or does physics count them as the photons that came from the sun?
We can infer properties of the sun by looking at its photons (spectrum), since the properties of the majority of photons coming directly from the sun have not changed. Helium was first discovered on the sun in this way by looking at its absorption spectrum (hence the name Helium, after Helios the greek sun god).

To answer your question, the photons, for all intents and purposes came from the sun.

Claude.
 P: 271 maybe this question can help clarify the discussion: how does a light filter work? (say a green peice of plastic, essentially a green filter) does the green filter 'block' all light that isnt in the same wavelength/frequency as green light or is it more molecular, i.e. do the atoms in the filter release green light when light is shined on them? (the second idea sounds more like something flourescent) anyway if you answer the question about the filter then consider a regular glass or plastic as a filter that filters nothing. see no messy arguments this way :)
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 Quote by Claude Bile …In a driven oscillator, the motion of the body undergoing oscillation is out of phase with the driving force when one is not on resonance. In the case of transmission through a medium, it is a necessary condition that the driving force not be on a resonance, otherwise absorption will result. Now consider the case where the motion of one electron (A) is driving the motion of the next (B). Electron B is out of phase with electron A, i.e. there is a net phase shift between A and B. Now consider a medium as a long path of electrons, the accumulated phase shift results in a slowed velocity.
OK Claude I think I follow your explanation re: “driven oscillator”, but I would consider it to be an absorption event wherein there must be a communication of energy states between the atom and photon. This communication would be via virtual photons and is not instantaneous (virtual photons travel at C). Thus the atom/photon are briefly coupled delaying the photons propagation but, since quantum states are not altered, no direction change would take place. If an orbital electron absorbed the photon, subsequent re-emission would be directionally random (blue sky phenomena).

Re: electrons (A,B) above. Are these free electrons?
 Sci Advisor P: 1,433 The explanation I put forward is from a classical standpoint, to be honest, I do not have enough experience with QM to put forward a strong explanation from that perspective. The electrons are bound, they are subject to a restoring force. Claude.
 P: 265 I was directed to this thread by Claude Bile and after reading through the posts I can only Conclude that while Claude accurately states the classical view of light transmission through glass , today this view is outdated . Also that Zoobyshoe should not have been so hasty in abandoning his mentor’s earlier statements. The following is an account of the modern view of light: “When light enters a transparent medium, the ultraviolet photons and infrared photons are absorbed while the frequencies of visible light are transmitted. In the case of UV light, the electrons in the medium to begin to resonate, or vibrate with the influx of energy. Those vibrating electrons that strike neighboring atoms, release or transfer much of their vibrational energy in the form of heat. With IR, entire atoms (not just electrons) begin to vibrate, subsequently generating heat. Those electrons which are free to vibrate without striking neighboring atoms complete two quantum mechanical processes: excitation and de-excitation. Excitation occurs when a ground state electron absorbs a photon and jumps up to a higher, unstable energy level. Photons are bundles of radiant energy that represent the particle nature of light. The amount of energy present in a photon is calculated with the equation E = hf where f is the frequency of the light wave and h is Planck's constant, 6.64 x 10^-34 J sec. When the electron falls back to its ground state it releases a photon. The energy of the released photon exactly match the difference in the electron energy states and the energy of the initially absorbed electron. This process is called de-excitation. The photon emitted is then free to travel at 3 x 10^8 m/sec until it is again absorbed by another electron. There is no energy lost in the process. The closer the energy of the photon is to a difference in the fundamental energy states of the atom, the more interaction takes place. Since the energy of the emitted photon exactly equals the energy of the absorbed photon, the frequency of the photons/light does not change. However, the time delay caused by this absorption/readmission process increases the time required for a photon to travel through the medium and therefore results in a slower average speed of light in that particular medium. The amount of time delay is evidenced by the optically dense medium's index of refraction; the greater the value of n, the more interaction and the greater the amount of refraction. “ Finally in conclusion I would have to state that whatdoyouwanttoknow was correct in his conclusions that none of the original photons emitted by the sun reach the observer after passing through the glass. At the same time it should be remembered that photons possessing identical frequencies are identical and thus the photons that eventually arrive are indistinguishable from those that set out.
 P: 5,568 McQueen, You are explaining why UV light is not transmitted through glass, and why IR light heats glass up. This does nothing to invalidate Claude's explanation of the transmission of all the light that goes "directly" through. I don't believe what he said is outdated at all. He explained it on the quantum level quite nicely. He didn't explain it with regard to QED because QED doesn't explain it at all, just calculates probabilities.

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