Suppose, we add several waves together to create a resultant wave pattern. Each of these original waves can be of different velocity, amplitude and/or wavelength. So the velocity with which the phase of a single wave (original wave) travels is called phase velocity and the velocity of the resultant wave pattern refers to group velocity. Hope it addressed your concern!
The group velocity is directly proportional to the phase velocity and it differs for dispersive and non-dispersive waves. For non-dispersive waves, group velocity (Vg) is equal to the phase velocity (Vp) whereas, for dispersive waves Vg = Vp +k(dVp/dk), where k is the angular wave number.
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nchode
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Thank you for the response.
Is there any general relation between phase velocity and group velocity?
Hi,
The group velocity is directly proportional to the phase velocity and it differs for dispersive and non-dispersive waves. For non-dispersive waves, group velocity (Vg) is equal to the phase velocity (Vp) whereas, for dispersive waves Vg = Vp +k(dVp/dk), where k is the angular wave number.