Question

Is their any equation relating group velocity and refractive index

Answer 1

Answer:

In a given medium, the frequency is some function ω(k) of the wave number, so in general, the phase velocity vp = ω/k and the group velocity vg = dω/dk depend on the frequency and on the medium. The ratio between the speed of light c and the phase velocity vp is known as the refractive index, n = c/vp = ck/ω.

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Answer 2

Answer:

Since each amplitude envelope contains a group of internal waves, this speed is usually called the group velocity, vg. ... The ratio between the speed of light c and the phase velocity vp is known as the refractive index, n = c/vp = ck/ω.

Explanation: