Dispersion relation refractive index

1. How is dispersion related to refractive index?
2. What is dispersion relation formula?
3. Is dispersion related to refraction?
4. What does the dispersion relation tell us?

How is dispersion related to refractive index?

The dispersion is a measure of the change of the refractive index with wavelength. Dispersion can be explained by apply- ing the electromagnetic theory to the molecular structure of matter. If an electromagnetic wave impinges on an atom or a molecule the bound charges vibrate at the frequency of the incident wave.

What is dispersion relation formula?

dispersion relation ω = ω(k) then the complete solution can be written. u(x, t) = ∫ ∞ −∞ A(k)eikx−iω(k)t dk.

Is dispersion related to refraction?

Any bending of waves caused by a change in speed is referred to as refraction. A wave is said to be refracted when it travels through different depths. The frequency dependence of refraction is referred to as dispersion. When light is refracted by a prism, dispersion refers to how much the higher frequency light bends.

What does the dispersion relation tell us?

A dispersion relation relates the wavelength or wavenumber of a wave to its frequency. Given the dispersion relation, one can calculate the phase velocity and group velocity of waves in the medium, as a function of frequency.