Is the Group Velocity of Light Always Equal to c?

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SUMMARY

The group velocity of light is calculated using the dispersion relation ω(k) = ck, confirming that the group velocity (v_g) equals the speed of light (c). The formula v_g = dω/dk directly leads to the conclusion that v_g = c. This discussion clarifies the relationship between wavelength (λ), frequency (ν), and angular frequency (ω) in the context of light propagation.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with the concepts of wavelength (λ) and frequency (ν)
  • Knowledge of angular frequency (ω) and wave number (k)
  • Basic calculus for differentiation
NEXT STEPS
  • Study the derivation of the dispersion relation in electromagnetic waves
  • Explore the implications of group velocity in different media
  • Learn about phase velocity and its relationship to group velocity
  • Investigate applications of group velocity in fiber optics and telecommunications
USEFUL FOR

Physicists, engineers, and students interested in wave phenomena, particularly in optics and telecommunications, will benefit from this discussion.

Raparicio
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Dear Friends and Phorum,

I need to know how to calculate the group velocity of light. I've read that's exactly "c", but I don't know how to calculate it.
 
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How about this?

[tex]c=\lambda \nu = \frac{2\pi}{2\pi}\lambda \nu = \frac{\omega}{k}[/tex]

So the dispersion relation is

[tex]\omega(k)=ck[/tex]

There you go

[tex]v_g=\frac{d\omega}{dk} = c[/tex]
 
Thanks You

Thanks quasar987
 

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