What is the significance of the phase and group velocities, with regards to dispersion in a medium?
I suppose that one relation, is that: if v=v_g, then it is a non-dispersive medium.
(Where v is the phase velocity, v_g the group velocity).
Also: if v is a function of k (the wave number), then it is a dispersive medium (right?).
Is this also true for v_g?
Any other relevant facts?
Thanks very much.
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