Light travels at speed x through a vacuum, and then it encounters a physical medium and slows down, only to leave the physical medium and re-enter vacuum. The speed of light immediately re-accelerates to speed x, the speed before going through the physical medium. How does this happen, what is the cause of this?

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The light doesn't truely slow down, I suggest watching this video: youtube.com/watch?v=CiHN0ZWE5bk – Jaywalker 16 hours ago
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up vote 41 down vote accepted

When light travels through a physical medium the photons don't actually slow down. They still travel at the speed of light. What makes it look like it slows down is the interactions between the photons and the physical medium.

For example the electrons in atoms can absorb photons and go to a higher energy state and then re-emit the photons when they move back to their normal energy state.

How long it takes between the absorption and emission of the photons determines how fast the light moves through a medium.

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So it would be like running on a sidewalk vs running on a sidewalk while having to make a circle around every light pole you come across – Daniel 16 hours ago
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You can use that as an analogy. But how it really works is that the electrons and the bonds in the molecules as well as the structure of the material absorbs the photons and then re-emits them later on. – macco 16 hours ago
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absorbs the photons and then re-emits them later on So maybe more like running on a sidewalk while having to visit every neighbour's house you pass and have a cup of tea. – Rahul 11 hours ago
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@Lambda not exactly. As Photons are indistunguishable, they are also interchangeable. There's no way of telling if "the photons that entered" are "the photons that exit" or not. – WorldSEnder 11 hours ago
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But, if photons are absorbed an re-emitted, why do they (photons) have to get re-emitted on the same direction? Why not any direction? – Krumia 2 hours ago

You should remember that photons have no rest mass so an (essentially) instantaneous change in velocity is possible. There are however near field edge affects at the boundaries which probably should be accounted for so it isn't quite as simple as that..

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