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Velocity of Wave Packets 
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#1
Jan1705, 07:23 PM

P: 203

Wave packets has a group velocity of
[tex]v_{group}=\frac{d\omega}{dk}[/tex] and its phase velocity is [tex]v_{phase}=\frac{\omega}{k}[/tex] Show that the group velocity and the phase velocity are related by: [tex]v_{group} = v_{phase}  \lambda\frac{dv_{phase}}{d\lambda}[/tex] Can someone please tell me where to start on this problem? 


#2
Jan1705, 07:52 PM

Sci Advisor
HW Helper
P: 11,948

All u need to know besides the rules of differentiation is
[tex] k=:\frac{2\pi}{\lambda} [/tex] Daniel. PS.Compute the RHS of your equality and show it matches the LHS. 


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