- #1
happyparticle
- 432
- 20
Hi,
I saw that the group velocity for an electromagnetic wave can be calculate with the following formula
##v_g = v_p + k \frac{d v_p}{dk}##
Thus, since ##v_p = \frac{c}{n} = \frac{\omega}{k}##
Is it correct to say that ##v_g = \frac{c}{n} + k(- \frac{\omega}{k^2})## where ##k = \frac{\omega n}{c}## and ##\omega = \frac{2 \pi v_p}{\lambda}##
Moreover, I see sometime ##k_0## instead of k. I'm wondering why and what's the difference.
Thanks
I saw that the group velocity for an electromagnetic wave can be calculate with the following formula
##v_g = v_p + k \frac{d v_p}{dk}##
Thus, since ##v_p = \frac{c}{n} = \frac{\omega}{k}##
Is it correct to say that ##v_g = \frac{c}{n} + k(- \frac{\omega}{k^2})## where ##k = \frac{\omega n}{c}## and ##\omega = \frac{2 \pi v_p}{\lambda}##
Moreover, I see sometime ##k_0## instead of k. I'm wondering why and what's the difference.
Thanks