Single frequency- phase and group velocity?

AI Thread Summary
In the discussion about single frequency signals, the relationship between phase velocity and group velocity is explored, particularly in the context of electromagnetic waves. It is noted that while phase velocity may not be easily determined, the group velocity is expected to equal the speed of light, 'c'. The conversation also seeks practical examples where understanding phase and group velocities is beneficial. Clarification is requested on whether the examples should pertain to general scenarios or specifically to single frequency waves in a vacuum. Understanding these velocities is crucial in fields like telecommunications and optics.
iVenky
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Let's consider a single frequency signal of frequency say 'f'. If the wave is propagating through a medium (EM wave with a velocity of 'c') then what will be the phase and group velocity? I believe that we can't find out the phase velocity and that the group velocity should be equal to the velocity of light 'c'.

Can you tell me a specific example where these phase and group velocities are really useful?

Thanks in advance.
 
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