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Group and phase velocity

  • Thread starter Takuza
  • Start date
43
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1. Homework Statement

show that the group velocity and phase velocity are related by

d vgroup = vphase - [itex]\lambda[/itex] ( (d vphase) / (d [itex]\lambda[/itex]) )



2. Homework Equations
vphase = [itex]\lambda[/itex]f
vgroup = d[itex]\omega[/itex]/dk


3. The Attempt at a Solution

dw/dk = [itex]\lambda[/itex]f - [itex]\lambda[/itex](d[itex]\lambda[/itex]f/d[itex]\lambda[/itex])

dw/dk = [itex]\lambda[/itex]f - [itex]\lambda[/itex]f

Not really sure where to go with this
 

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