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Relation between phase velocity and group velocity

  1. Oct 9, 2012 #1
    I know the physical meaning of phase as well as the group velocity.

    I want to know the mathematical relationship between the phase velocity and group velocity.

    Thanks a lot.
     
  2. jcsd
  3. Oct 9, 2012 #2
    If you know the definitions, you can easily find a relationship.
     
  4. Oct 9, 2012 #3
    It looks as if the group velocity is the derivative of phase velocity but I don't think I am correct.

    What's the exact relationship?

    Thanks a lot.
     
  5. Oct 9, 2012 #4
    The group velocity can be related to the derivative of phase velocity (in respect to k or λ
    ). It is not just equal to the derivative, it won't even make sens dimensionally. What relationship did you find?
     
  6. Oct 9, 2012 #5
    Could not find anything.
     
  7. Oct 9, 2012 #6

    morrobay

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    Gold Member

  8. Oct 9, 2012 #7
    I did not mean to look it up but to find it by direct calculation.
     
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