Register to reply

Velocity of Wave Packets

by Hyperreality
Tags: packets, velocity, wave
Share this thread:
Hyperreality
#1
Jan17-05, 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?
Phys.Org News Partner Science news on Phys.org
Apple to unveil 'iWatch' on September 9
NASA deep-space rocket, SLS, to launch in 2018
Study examines 13,000-year-old nanodiamonds from multiple locations across three continents
dextercioby
#2
Jan17-05, 07:52 PM
Sci Advisor
HW Helper
P: 11,926
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.


Register to reply

Related Discussions
More about wave packets Advanced Physics Homework 15
Wave packets and particles Quantum Physics 48
Why wave packets? General Physics 6
Wave packets? Quantum Physics 1
Wave packets spreading out General Physics 10