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Phase velocity and group velocity

- July 31, 2020 at 6:22 pm
  
  NKC
  Forum Moderator
  
  Can anyone help me with how to differentiate phase velocity and group velocity?
- July 31, 2020 at 6:28 pm
  
  rtk
  Ansys Employee
  
  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!
- July 31, 2020 at 6:28 pm
  
  NKC
  Forum Moderator
  
  Thank you for the response.
  Is there any general relation between phase velocity and group velocity?
- July 31, 2020 at 6:29 pm
  
  Charlotte Blair
  Ansys Employee
  
  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.
- July 31, 2020 at 6:29 pm
  
  NKC
  Forum Moderator
  
  That really helped. Thank you!

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