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What is the group refractive index for a monochromatic wave in a laser cavity?
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[QUOTE="jsea-7, post: 5469748, member: 197128"] [h2]Homework Statement[/h2] .[/B] I am attempting to determine the group refractive index of a laser cavity at it's resonance frequency. [h2]Homework Equations[/h2] .[/B] \begin{align*} \frac{2\omega n L}{c} &= 2m\pi \end{align*} \begin{align*} n_g &= n + \omega \frac{dn}{d\omega} \end{align*} [B]3. The attempt at the solution.[/B] I have considered a uniform plane wave propagating within the cavity satisfying the following relation \begin{align*} \frac{2\omega n L}{c} &= 2m\pi \end{align*} where ω is the angular frequency, n is the effective refractive index and L is the length of the laser cavity. I have derived the group refractive index as follows \begin{align*} n_g &= n + \omega \frac{dn}{d\omega} \\ &= \frac{c m \pi}{\omega L} - \frac{c m \pi}{ \omega L}\\ &= 0 \end{align*} If this is correct, I don't understand what this is physically entailing. Any insight would be much appreciated! Thank you. [/QUOTE]
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What is the group refractive index for a monochromatic wave in a laser cavity?
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