Why does light slow down in denser media?

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SUMMARY

Light slows down when entering a denser medium due to interactions governed by Maxwell's equations, which predict changes in phase velocity based on the medium's dielectric permittivity (\(\epsilon_r\)) and magnetic permeability (\(\mu_r\)). The refractive index (\(n = \sqrt{\epsilon_r \mu_r}\)) alters as light transitions from vacuum to a denser medium, causing the light to bend. This bending occurs to adhere to Huygens' and Fermat's principles of least time, ensuring the conservation of propagation laws. These principles apply universally to all electromagnetic radiation and waves.

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Why does light slow down when entering a denser medium? And why does it bend when it slows down?
 
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Hi,
Since the interaction of light as a wave is governed by Maxwell's equations, they also predict that as light enters media different than vaccum, that has properties defined by such constant as a dielectric and magnetic permittivity and permeability respectively, [itex]\epsilon_r, \mu_r[/itex] altering the refractive index, [itex]n = \sqrt {\epsilon_r \mu_r}[/itex].
As light negotiates the denser atomic structure in media other than vaccum, via interactions on the atomic scale, it alters its directions due to a change in its phase velocity. To conserve the laws of propagation, i.e Huygens' and Fermat's principles(of "least time"), the light beam deflects. This is true, by-the-by, for any sort of Electromagnetic radation, and stirctly speaking, for any wave, as all might undergo diffraction and thus alter their parameters.
Hope that explains it simply enough,
Daniel
 
FAQ: https://www.physicsforums.com/showthread.php?t=511177
 
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