Speed of light - permeability?

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SUMMARY

The speed of light, denoted as c (approximately 3x10^8 m/s), is affected by interactions with media such as air, glass, and water, which slow down light due to their permittivity and permeability. While light travels at speed c in a vacuum, its effective speed decreases in other media due to interactions with particles and atomic structures. The collective response of atoms in solid materials significantly influences their optical properties, rather than solely atomic-level interactions. For a deeper understanding, refer to Zapperz's detailed explanation in the Physics Forums FAQ.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the concepts of permittivity and permeability
  • Basic knowledge of wave-particle duality
  • Awareness of the index of refraction
NEXT STEPS
  • Study the relationship between light speed and the index of refraction in various media
  • Explore the concepts of permittivity and permeability in electromagnetic theory
  • Investigate the collective atomic response in solid materials and its impact on optical properties
  • Read Zapperz's post on light interactions in the Physics Forums FAQ for further insights
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Students of physics, optical engineers, and anyone interested in the principles of light propagation and its interactions with different media.

lntz
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so what i am about to write is quite possibly wrong, but this is just how i was thinking about why the speed of light is different in a vacuum as it is in glass or water etc. i am writing this to see whether my train of thought is on the right lines, and if it isn't to hopefully get an insight into the way i should think about it.

if the speed of light, c, is 3x10^8 ms-1 approx. in a vacuum (free space), because there is nothing there for the light to 'knock into' or interact, and therefore nothing to slow it down, i think of it as a kind of 'resistance' (i know this isn't a correct term to use here, but they're similar ideas). and in air the speed of light is somewhat slower due to the fact that there are particles moving about in this free space, i might assume, that it is these particles that slow the light down.

however what i was thinking is that air is mostly free space anyway, so does a photon actually travel at speed c, for most of the time, but it is 'held up' by some kind of interaction with an electron? so it's actual speed doesn't really change, but it's trip time increases due to these interactions... so when a photon travels from A-D, it must 'stop' at B and C along the way, but it does travel from A-B at speed c and the same for B-D. it is just the fact that whatever happens at those points takes some time to occur

please let me know if that's a sensible idea or not.

thanks, lntz.
 
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lntz said:
so what i am about to write is quite possibly wrong, but this is just how i was thinking about why the speed of light is different in a vacuum as it is in glass or water etc. i am writing this to see whether my train of thought is on the right lines, and if it isn't to hopefully get an insight into the way i should think about it.

if the speed of light, c, is 3x10^8 ms-1 approx. in a vacuum (free space), because there is nothing there for the light to 'knock into' or interact, and therefore nothing to slow it down, i think of it as a kind of 'resistance' (i know this isn't a correct term to use here, but they're similar ideas). and in air the speed of light is somewhat slower due to the fact that there are particles moving about in this free space, i might assume, that it is these particles that slow the light down.

however what i was thinking is that air is mostly free space anyway, so does a photon actually travel at speed c, for most of the time, but it is 'held up' by some kind of interaction with an electron? so it's actual speed doesn't really change, but it's trip time increases due to these interactions... so when a photon travels from A-D, it must 'stop' at B and C along the way, but it does travel from A-B at speed c and the same for B-D. it is just the fact that whatever happens at those points takes some time to occur

please let me know if that's a sensible idea or not.

thanks, lntz.

In some senses you are on the right track. It is the interactions between light and the media which cause the effective speed of light in that medium to slow down. Thus, the effects of these interactions, averaged over the whole medium, manifest in the permittivity, permeability, index, etc.

However, for solid media, like glass, it is not really correct that atomic level interactions like you have described solely determine the optical properties of the media. In solids the collective response of the constituent atoms becomes very important.

Zapperz has a great post on this topic in the FAQ:

https://www.physicsforums.com/showthread.php?t=511177
 
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