Light through a dense material

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thehangedman
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As light moves through a dense material, it would interact with the atoms. Would the light lose energy, on average, in the process? As a result, would we observe a red-shift as it moves through?

If so, what is the relationship between the amount of red-shift (energy lost) to the distance of material being traversed?
 
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The dominant mechanism for energy loss is usually light quanta being completely absorbed.
A red shift results on the mean e.g. from Raman scattering.
 
Energy in a wave is lost because the number of photons decreases (as opposed to the energy per photon decreasing) through absorption and scattering.

Raman scattering can red-shift photons but this effect is extremely weak.

Claude.