How is refractive index a function of frequency?

In summary, refractive index is a dimensionless quantity that measures how much a material can bend or slow down the speed of light passing through it. It is directly related to the frequency of light, with a higher frequency resulting in a higher refractive index. The mathematical formula for calculating refractive index is n=c/v, and it determines how much the speed of light is slowed down while passing through the material. The refractive index of a material can change with frequency due to the phenomenon of dispersion.
  • #1
vhbelvadi
67
1
I recently came across the representation of n(ω) for refractive indices.
I also scouted the internet for explanations but could find none, except one on 'complex refractive index' but I don't think that's quite it.

So how exactly is refractive index a function of frequency?
 
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  • #2
Cauchy came up with an empirical equation with constants characteristic of the media used.I'm assuming that advances have been made since Cauchys time and if so a search starting with something like "Cauchy's dispersion formula" might lead you in the right direction.
 

What is refractive index?

Refractive index is a measure of how much a material can bend or slow down the speed of light passing through it. It is a dimensionless quantity and is denoted by the symbol "n".

How is refractive index related to frequency?

The refractive index of a material is directly related to the frequency of light passing through it. As the frequency of light increases, the refractive index also increases. This relationship is known as the Kramers-Kronig relation.

What is the mathematical formula for calculating refractive index?

The mathematical formula for calculating refractive index is n=c/v, where "c" is the speed of light in a vacuum and "v" is the speed of light in the material. This formula can be used for any frequency of light.

How does the refractive index of a material affect the speed of light?

The refractive index of a material determines how much the speed of light is slowed down while passing through it. A higher refractive index means that light will travel slower in that material compared to a material with a lower refractive index.

Can the refractive index of a material change with frequency?

Yes, the refractive index of a material can change with frequency. This is because different frequencies of light interact with materials in different ways, causing a change in the material's refractive index. This phenomenon is known as dispersion.

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