Group velocity

The group velocity is the rate of change of angular frequency with respect to angular wavenumber, giving the speed at which the envelope or energy of a wave packet travels. It is used for waves in dispersive media such as light in fibres, water waves, and quantum matter waves.

c_{\mathrm{g}} = \frac{\mathrm{d} \omega}{\mathrm{d} k}

What the symbols mean

group velocity (m/s)
angular frequency (rad/s)
angular wavenumber (rad/m)

About this formula

  • FieldPhysics
  • TopicWaves
  • LevelUniversity
  • Also calledgroup speed, group velocity of a wave packet, wave packet speed, dispersion relation derivative, domega dk, group velocity formula
  • SourceWikidata Q217361

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